Fast-growing hierarchy numbers

Intro

In this page, I will coin some numbers based on the fast-growing hierarchy.

Alpha series

We will coin numbers based on Denis Maksudov's -alum series, but this time, added the -argum prefix, for different bases.

1. duargum-zeralum = f_0(2) = 3

2. trargum-zeralum = f_0(3) = 4

3. tetrargum-zeralum = f_0(4) = 5

4. pentargum-zeralum = f_0(5) = 6

5. sextargum-zeralum = f_0(6) = 7

6. septargum-zeralum = f_0(7) = 8

7. octargum-zeralum = f_0(8) = 9

8. zeralum = f_0(10) = 11

9. duodecargum-zeralum = f_0(12) = 13

10. hexadecargum-zeralum = f_0(16) = 17

11. icosargum-zeralum = f_0(20) = 21

12. niftargum-zeralum = f_0(36) = 37

13. hectargum-zeralum = f_0(100) = 101

14. grand zeralum = f_0(f_0(10)) = 12

15. duargum-unalum = f_1(2) = 4

16. trargum-unalum = f_1(3) = 6

17. tetrargum-unalum = f_1(4) = 8

18. pentargum-unalum = f_1(5) = 10

19. sextargum-unalum = f_1(6) = 12

20. septargum-unalum = f_1(7) = 14

21. octargum-unalum = f_1(8) = 16

22. unalum = f_1(10) = 20

23. duodecargum-unalum = f_1(12) = 24

24. hexadecargum-unalum = f_1(16) = 32

25. icosargum-unalum = f_1(20) = 40

26. niftargum-unalum = f_1(36) = 72

27. hectargum-unalum = f_1(100) = 200

28. grand unalum = f_1(f_1(10)) = 40 = icosargum-unalum

29. grand grand unalum = f_1^3(10) = 60

30. grand hectargum-unalum = f_1^2(100) = 400

31. duargum-balum / duargum-zeraddom = f_2(2) = f_ω(2) = 8

32. trargum-balum = f_2(3) = 24

33. tetrargum-balum = f_2(4) = 64

34. grand grand grand unalum = f_1^4(10) = 120

35. grand grand hectargum-unalum = f_1^3(100) = 800

36. pentargum-balum = f_2(5) = 160 = 5*2^5

37. octargum-balum = f_2(8) = 8*2^8 = 2^11 = 2,048

38. balum = f_2(10) = 10*2^10 = 10,240

39. duodecargum-balum = f_2(12) = 12*2^12 = 49,152

40. hexadecargum-balum = f_2(16) = 16*2^16 = 2^20 = 1,048,576

41. icosargum-balum = f_2(20) = 20*2^20 = 20,971,520

42. niftargum-balum = f_2(36) = 36*2^36

43. hectargum-balum = f_2(100) = 100*2^100 = 1.2676*10^32

44. grand balum = f_2(f_2(10)) = 10,240*2^10,240

45. grand hectargum-balum = f_2^2(100) ~ 10^10^32

46. duargum-tralum = f_3(2) = f_2(f_2(2)) = f_2(8) = 2,048 (equal to octargum-balum)

47. trargum-tralum / trargum-zeraddom = f_ω(3) = f_3(3) = f_2(f_2(f_2(3))) = f_2(f_2(24)) = f_2(24*2^24) = f_2(402,653,184) = 402,653,184*2^402,653,184

48. grand grand balum = f_2(f_2(f_2(10)))

49. grand grand hectargum-balum = f_2^3(100) ~ 10^10^10^32

50. tetrargum-tralum = f_3(4) = f_2(f_2(f_2(f_2(4)))) = f_2(f_2(f_2(64))) = f_2(f_2(2^70)) = f_2(2^(2^70+70)) (a power of 2) ~ 2^2^2^70

51. grand grand grand balum = f_2^4(10)

52. pentargum-tralum = f_3(5) = f_2^5(5) = f_2^4(160) = f_2^3(160*2^160)) ~ f_2^2(2^(2^167)) ~ 2^2^2^2^168 ~ E50#4

53. octargum-tralum = f_3(8) = f_2^8(8) = f_2^7(2048) = f_2^6(2^2059) ~ E[2]2070#7 ~ E621#7

54. tralum = f_3(10) = f_2^10(10) = f_2^9(10240) ~ E[2]10260#9 ~ E3081#9 >> 2^^11

55. duodecargum-tralum = f_3(12) > 10^^12

56. hexadecargum-tralum = f_3(16) > 10^^16

57. icosargum-tralum = f_3(20) > 10^^20

58. hectargum-tralum = f_3(100) > 10^^100

59. balumargum-tralum = f_3(f_2(10)) > 10^^10240

60. grand tralum = f_3(f_3(10)) > 10^^^3

61. duargum-quadralum = f_4(2) = f_3(f_3(2)) = f_3(2,048) > 10^^2,049 (a power of 2)

62. trargum-quadralum = f_4(3) = f_3(f_3(f_3(3))) ~ 10^^10^^2^402,653,184

63. grand grand tralum = f_3(f_3(f_3(10))) > 10^^^3

64. tetrargum-quadralum / tetrargum-zeraddom = f_ω(4) = f_4(4) = f_3(f_3(f_3(f_3(4)))) ~ 10^^10^^10^^2^2^2^70 (a power of 2)

65. grand grand grand tralum = f_3^4(10) > 10^^^4

66. pentargum-quadralum = f_4(5) = f_3^5(5) ~ 10^^10^^10^^10^^2^2^2^2^168 ~ E50#4#4

67. octargum-quadralum = f_4(8) = f_3^8(8) = f_2^7(2048) ~ E621#7#7 (a power of 2)

68. quadralum = f_4(10) = f_3^10(10) ~ E3081#9#9 > 10^^^11

69. duodecargum-quadralum = f_4(12) > 10^^^13

70. hexadecargum-quadralum = f_4(16) > 10^^^17 (a power of 2)

71. icosargum-quadralum = f_4(20) > 10^^^21

72. hectargum-quadralum = f_4(100) > 10^^^101

73. balumargum-quadralum = f_4(f_2(10)) > 10^^^10240

74. tralumargum-quadralum = f_4(f_3(10)) > 10^^^10^^11

75. grand quadralum = f_4(f_4(10)) > 10^^^10^^^11

76. duargum-quintalum = f_5(2) = f_4(f_4(2)) = f_4(f_3(2,048)) > 10^^^10^^2,049 (a power of 2)

77. trargum-quintalum = f_5(3) = f_4(f_4(f_4(3))) > 10^^^10^^^10^^10^^2^402,653,184

78. tetrargum-quintalum = f_5(4) ~ 10^^^10^^^10^^^10^^10^^10^^2^2^2^70 (a power of 2)

79. pentargum-quintalum / pentargum-zeraddom = f_5(5) < 10^^^^6

80. octargum-quintalum = f_5(8) < 10^^^^9 (a power of 2)

81. quintalum = f_5(10) > 10^^^^11

82. duodecargum-quintalum = f_5(12) > 10^^^^13

83. hexadecargum-quintalum = f_5(16) > 10^^^^17 (a power of 2)

84. icosargum-quintalum = f_5(20) > 10^^^^21

85. hectargum-quintalum = f_5(100) > 10^^^^101

86. balumargum-quintalum = f_5(f_2(10)) > 10^^^^10240

87. tralumargum-quintalum = f_5(f_3(10)) > 10^^^^10^^11

88. quadralumargum-quintalum = f_5(f_4(10)) > 10^^^^10^^^11

89. grand quintalum = f_5(f_5(10)) > 10^^^^10^^^^11

90. duargum-sextalum = f_6(2) = f_5(f_5(2)) = f_5(f_4(f_3(2,048))) > 10^^^^10^^^10^^2,049 (a power of 2)

91. trargum-sextalum = f_6(3)

92. tetrargum-sextalum = f_6(4) ~ 10{5}4

93. pentargum-sextalum = f_6(5) < 10{5}5

94. octargum-sextalum = f_6(8) < 10{5}9 (a power of 2)

95. sextalum = f_6(10) > 10{5}11

96. duodecargum-sextalum = f_6(12) > 10{5}13

97. hexadecargum-sextalum = f_6(16) > 10{5}17 (a power of 2)

98. icosargum-sextalum = f_6(20) > 10{5}21

99. hectargum-sextalum = f_6(100) > 10{5}101

100. balumargum-sextalum = f_6(f_2(10)) > 10{5}10240

101. tralumargum-sextalum = f_6(f_3(10)) > 10{5}10^^11

102. quadralumargum-sextalum = f_6(f_4(10)) > 10{5}10^^^11

103. quintalumargum-sextalum = f_6(f_5(10)) > 10{5}10^^^^11

104. grand sextalum = f_6(f_6(10)) > 10{5}10{5}11

105. duargum-septalum = f_7(2) = f_6(f_6(2)) = f_6(f_5(f_4(f_3(2,048)))) > 10{5}10^^^^10^^^10^^2,049 (a power of 2)

106. trargum-septalum = f_7(3)

107. tetrargum-septalum = f_7(4) < 10{6}4

108. pentargum-septalum = f_7(5) < 10{6}5

109. octargum-septalum = f_7(8) < 10{6}9 (a power of 2)

110. septalum = f_7(10) > 10{6}11

111. hexadecargum-septalum = f_7(16) > 10{6}17 (a power of 2)

112. icosargum-septalum = f_7(20) > 10{6}21

113. hectargum-septalum = f_7(100) > 10{6}101

114. balumargum-septalum = f_7(f_2(10)) > 10{6}10240

115. tralumargum-septalum = f_7(f_3(10)) > 10{6}10^^11

116. quadralumargum-septalum = f_7(f_4(10)) > 10{6}10^^^11

117. quintalumargum-septalum = f_7(f_5(10)) > 10{6}10^^^^11

118. sextalumargum-septalum = f_7(f_6(10)) > 10{6}10{5}11

119. grand septalum = f_7(f_7(10)) > 10{6}10{6}11

120. duargum-octalum = f_8(2) (a power of 2)

121. trargum-octalum = f_8(3)

122. tetrargum-octalum = f_8(4) < 10{7}4

123. pentargum-octalum = f_8(5) < 10{7}5

124. octargum-octalum / octargum-zeraddom = f_8(8) < 10{7}9 (a power of 2)

125. octalum = f_8(10) > 10{7}11

126. hexadecargum-octalum = f_8(16) > 10{7}17 (a power of 2)

127. icosargum-octalum = f_8(20) > 10{7}21

128. hectargum-octalum = f_8(100) > 10{7}101

129. balumargum-octalum = f_8(f_2(10)) > 10{7}10240

130. tralumargum-octalum = f_8(f_3(10)) > 10{7}10^^11

131. quadralumargum-octalum = f_8(f_4(10)) > 10{7}10^^^11

132. quintalumargum-octalum = f_8(f_5(10)) > 10{7}10^^^^11

133. sextalumargum-octalum = f_8(f_6(10)) > 10{7}10{5}11

134. septalumargum-octalum = f_8(f_7(10)) > 10{7}10{6}11

135. grand octalum = f_8(f_8(10)) > 10{7}10{7}11

136. duargum-nonalum = f_9(2) (a power of 2)

137. trargum-nonalum = f_9(3)

138. tetrargum-nonalum = f_9(4) < 10{8}4

139. pentargum-nonalum = f_9(5) < 10{8}5

140. octargum-nonalum = f_9(8) < 10{8}9 (a power of 2)

141. nonalum = f_9(10) > 10{8}11

142. hexadecargum-nonalum = f_9(16) > 10{8}17 (a power of 2)

143. icosargum-nonalum = f_9(20) > 10{8}21

144. hectargum-nonalum = f_9(100) > 10{8}101

145. balumargum-nonalum = f_9(f_2(10)) > 10{8}10240

146. tralumargum-nonalum = f_9(f_3(10)) > 10{8}10^^11

147. quadralumargum-nonalum = f_9(f_4(10)) > 10{8}10^^^11

148. quintalumargum-nonalum = f_9(f_5(10)) > 10{8}10^^^^11

149. sextalumargum-nonalum = f_9(f_6(10)) > 10{8}10{5}11

150. septalumargum-nonalum = f_9(f_7(10)) > 10{8}10{6}11

151. octalumargum-nonalum = f_9(f_8(10)) > 10{8}10{7}11

152. grand nonalum = f_9(f_9(10)) > 10{8}10{8}11

153. duargum-dekalum = f_10(2) (a power of 2)

154. trargum-dekalum = f_10(3)

155. tetrargum-dekalum = f_10(4) < 10{9}4

156. pentargum-dekalum = f_10(5) < 10{9}5

157. octargum-dekalum = f_10(8) < 10{9}9 (a power of 2)

158. dekalum / zeraddom = f_10(10) > 10{9}11

159. hexadecargum-dekalum = f_10(16) > 10{9}17 (a power of 2)

160. icosargum-dekalum = f_10(20) > 10{9}21

161. hectargum-dekalum = f_10(100) > 10{9}101

162. balumargum-dekalum = f_10(f_2(10)) > 10{9}10240

163. tralumargum-dekalum = f_10(f_3(10)) > 10{9}10^^11

164. quadralumargum-dekalum = f_10(f_4(10)) > 10{9}10^^^11

165. quintalumargum-dekalum = f_10(f_5(10)) > 10{9}10^^^^11

166. sextalumargum-dekalum = f_10(f_6(10)) > 10{9}10{5}11

167. septalumargum-dekalum = f_10(f_7(10)) > 10{9}10{6}11

168. octalumargum-dekalum = f_10(f_8(10)) > 10{9}10{7}11

169. nonalumargum-dekalum = f_10(f_9(10)) > 10{9}10{8}11

170. grand dekalum = f_10(f_10(10)) > 10{9}10{9}11

171. undekalum = f_11(10)

172. dodekalum = f_12(10)

173. tridekalum = f_13(10)

174. tetradekalum = f_14(10)

175. pentadekalum = f_15(10)

176. hexadekalum = f_16(10)

177. heptadekalum = f_17(10)

178. octadekalum = f_18(10)

179. ennadekalum = f_19(10)

180. vigintalum = f_20(10) > 10{19}11

181. trigintalum = f_30(10) > 10{29}11

182. quadragintalum = f_40(10) > 10{39}11

183. quinquagintalum = f_50(10) > 10{49}11

184. sexagintalum = f_60(10) > 10{59}11

185. septuagintalum = f_70(10) > 10{69}11

186. octogintalum = f_80(10) > 10{79}11

187. nonagintalum = f_90(10) > 10{89}11

188. hectalum = f_100(10) > 10{99}11

189. diacosalum = f_200(10)

190. triacosalum = f_300(10)

191. tetracosalum = f_400(10)

192. pentacosalum = f_500(10)

193. hexacosalum = f_600(10)

194. kilalum = f_1000(10)

195. myrialum = f_10000(10)

196. megalum = f_1000000(10)

197. gigalum = f_1000000000(10)

198. teralum = f_(10^12)(10)

199. petalum = f_(10^15)(10)

200. exalum = f_(10^18)(10)

201. zettalum = f_(10^21)(10)

202. yottalum = f_(10^24)(10)

203. ronnalum = f_(10^27)(10)

204. quettalum = f_(10^30)(10)

Omega series

Addition series

1. duargum-zeraddom = f_ω(2) = f_2(2)

2. trargum-zeraddom = f_ω(3) = f_3(3)

3. tetrargum-zeraddom = f_ω(4) = f_4(4)

4. pentargum-zeraddom = f_ω(5) = f_5(5)

5. hexargum-zeraddom = f_ω(6) = f_6(6)

6. heptargum-zeraddom = f_ω(7) = f_7(7)

7. octargum-zeraddom = f_ω(8) = f_8(8)

8. nonargum-zeraddom = f_ω(9) = f_9(9)

9. zeraddom = f_ω(10) = f_10(10)

10. hexadecargum-zeraddom = f_ω(16) = f_16(16)

11. hectargum-zeraddom = f_ω(100) = f_100(100)

12. millargum-zeraddom = f_ω(1000) = f_1000(1000)

13. balumargum-zeraddom = f_ω(f_2(10)) ~ f_ω(10240)

14. googolargum-zeraddom = f_ω(10^100) ~ f_ω(f_2(324))

15. tralumargum-zeraddom = f_ω(f_3(10))

16. quadralumargum-zeraddom = f_ω(f_4(10))

17. quintalumargum-zeraddom = f_ω(f_5(10))

18. sextalumargum-zeraddom = f_ω(f_6(10))

19. septalumargum-zeraddom = f_ω(f_7(10))

20. octalumargum-zeraddom = f_ω(f_8(10))

21. nonalumargum-zeraddom = f_ω(f_9(10))

22. grand zeraddom = f_ω(f_ω(10))

23. grand hectargum-zeraddom = f_ω(f_ω(100))

24. trargum-unaddom = f_ω+1(3)

25. grand grand zeraddom = f_ω(f_ω(f_ω(10)))

26. tetrargum-unaddom = f_ω+1(4)

27. pentargum-unaddom = f_ω+1(5)

28. octargum-unaddom = f_ω+1(8)

29. unaddom = f_ω+1(10)

30. duodecargum-unaddom = f_ω+1(12)

31. hexadecargum-unaddom = f_ω+1(16)

32. hectargum-unaddom = f_ω+1(100)

33. grand unaddom = f_ω+1(f_ω+1(10))

34. trargum-baddom = f_ω+2(3)

35. tetrargum-baddom = f_ω+2(4)

36. pentargum-baddom = f_ω+2(5)

37. octargum-baddom = f_ω+2(8)

38. baddom = f_ω+2(10)

39. hectargum-baddom = f_ω+2(100)

40. unaddomargum-baddom = f_ω+2(f_ω+1(10))

41. grand baddom = f_ω+2(f_ω+2(10))

42. trargum-traddom / trargum-bultom = f_ω2(3) = f_ω+3(3)

43. tetrargum-traddom = f_ω+3(4)

44. pentargum-traddom = f_ω+3(5)

45. octargum-traddom = f_ω+3(8)

46. traddom = f_ω+3(10)

47. hectargum-traddom = f_ω+3(100)

48. unaddomargum-traddom = f_ω+3(f_ω+1(10))

49. baddomargum-traddom = f_ω+3(f_ω+2(10))

50. grand traddom = f_ω+3(f_ω+3(10))

51. trargum-quadraddom = f_ω+4(3)

52. tetrargum-quadraddom / tetrargum-bultom = f_ω2(4) = f_ω+4(4)

53. pentargum-quadraddom = f_ω+4(5)

54. octargum-quadraddom = f_ω+4(8)

55. quadraddom = f_ω+4(10)

56. hectargum-quadraddom = f_ω+4(100)

57. unaddomargum-quadraddom = f_ω+4(f_ω+1(10))

58. baddomargum-quadraddom = f_ω+4(f_ω+2(10))

59. traddomargum-quadraddom = f_ω+4(f_ω+3(10))

60. grand quadraddom = f_ω+4(f_ω+4(10))

61. trargum-quintaddom = f_ω+5(3)

62. tetrargum-quintaddom = f_ω+5(4)

63. pentargum-quintaddom / pentargum-bultom = f_ω2(5) = f_ω+5(5)

64. octargum-quintaddom = f_ω+5(8)

65. quintaddom = f_ω+5(10)

66. hectargum-quintaddom = f_ω+5(100)

67. unaddomargum-quintaddom = f_ω+5(f_ω+1(10))

68. baddomargum-quintaddom = f_ω+5(f_ω+2(10))

69. traddomargum-quintaddom = f_ω+5(f_ω+3(10))

70. quadraddomargum-quintaddom = f_ω+5(f_ω+4(10))

71. grand quintaddom = f_ω+5(f_ω+5(10))

72. trargum-sextaddom = f_ω+6(3)

73. tetrargum-sextaddom = f_ω+6(4)

74. pentargum-sextaddom = f_ω+6(5)

75. octargum-sextaddom = f_ω+6(8)

76. sextaddom = f_ω+6(10)

77. hectargum-sextaddom = f_ω+6(100)

78. unaddomargum-sextaddom = f_ω+6(f_ω+1(10))

79. baddomargum-sextaddom = f_ω+6(f_ω+2(10))

80. traddomargum-sextaddom = f_ω+6(f_ω+3(10))

81. quadraddomargum-sextaddom = f_ω+6(f_ω+4(10))

82. quintaddomargum-sextaddom = f_ω+6(f_ω+5(10))

83. grand sextaddom = f_ω+6(f_ω+6(10))

84. trargum-septaddom = f_ω+7(3)

85. tetrargum-septaddom = f_ω+7(4)

86. pentargum-septaddom = f_ω+7(5)

87. octargum-septaddom = f_ω+7(8)

88. septaddom = f_ω+7(10)

89. hectargum-septaddom = f_ω+7(100)

90. unaddomargum-septaddom = f_ω+7(f_ω+1(10))

91. baddomargum-septaddom = f_ω+7(f_ω+2(10))

92. traddomargum-septaddom = f_ω+7(f_ω+3(10))

93. quadraddomargum-septaddom = f_ω+7(f_ω+4(10))

94. quintaddomargum-septaddom = f_ω+7(f_ω+5(10))

95. sextaddomargum-septaddom = f_ω+7(f_ω+6(10))

96. grand septaddom = f_ω+7(f_ω+7(10))

97. trargum-octaddom = f_ω+8(3)

98. tetrargum-octaddom = f_ω+8(4)

99. pentargum-octaddom = f_ω+8(5)

100. octargum-octaddom / octargum-bultom = f_ω2(8) = f_ω+8(8)

101. octaddom = f_ω+8(10)

102. hectargum-octaddom = f_ω+8(100)

103. unaddomargum-octaddom = f_ω+8(f_ω+1(10))

104. baddomargum-octaddom = f_ω+8(f_ω+2(10))

105. traddomargum-octaddom = f_ω+8(f_ω+3(10))

106. quadraddomargum-octaddom = f_ω+8(f_ω+4(10))

107. quintaddomargum-octaddom = f_ω+8(f_ω+5(10))

108. sextaddomargum-octaddom = f_ω+8(f_ω+6(10))

109. septaddomargum-octaddom = f_ω+8(f_ω+7(10))

110. grand octaddom = f_ω+8(f_ω+8(10))

111. tetrargum-nonaddom = f_ω+9(4)

112. pentargum-nonaddom = f_ω+9(5)

113. octargum-nonaddom = f_ω+9(8)

114. nonaddom = f_ω+9(10)

115. hectargum-nonaddom = f_ω+9(100)

116. unaddomargum-nonaddom = f_ω+9(f_ω+1(10))

117. baddomargum-nonaddom = f_ω+9(f_ω+2(10))

118. traddomargum-nonaddom = f_ω+9(f_ω+3(10))

119. quadraddomargum-nonaddom = f_ω+9(f_ω+4(10))

120. quintaddomargum-nonaddom = f_ω+9(f_ω+5(10))

121. sextaddomargum-nonaddom = f_ω+9(f_ω+6(10))

122. septaddomargum-nonaddom = f_ω+9(f_ω+7(10))

123. octaddomargum-nonaddom = f_ω+9(f_ω+8(10))

124. grand nonaddom = f_ω+9(f_ω+9(10))

125. tetrargum-dekaddom = f_ω+10(4)

126. pentargum-dekaddom = f_ω+10(5)

127. octargum-dekaddom = f_ω+10(8)

128. dekaddom = f_ω+10(10)

129. hectargum-dekaddom = f_ω+10(100)

130. unaddomargum-dekaddom = f_ω+10(f_ω+1(10))

131. baddomargum-dekaddom = f_ω+10(f_ω+2(10))

132. traddomargum-dekaddom = f_ω+10(f_ω+3(10))

133. quadraddomargum-dekaddom = f_ω+10(f_ω+4(10))

134. quintaddomargum-dekaddom = f_ω+10(f_ω+5(10))

135. sextaddomargum-dekaddom = f_ω+10(f_ω+6(10))

136. septaddomargum-dekaddom = f_ω+10(f_ω+7(10))

137. octaddomargum-dekaddom = f_ω+10(f_ω+8(10))

138. nonaddomargum-dekaddom = f_ω+10(f_ω+9(10))

139. grand dekaddom = f_ω+10(f_ω+10(10))

140. undekaddom = f_ω+11(10)

141. dodekaddom = f_ω+12(10)

142. tridekaddom = f_ω+13(10)

143. tetradekaddom = f_ω+14(10)

144. pentadekaddom = f_ω+15(10)

145. hexadekaddom = f_ω+16(10)

146. heptadekaddom = f_ω+17(10)

147. octadekaddom = f_ω+18(10)

148. ennadekaddom = f_ω+19(10)

149. vigintaddom = f_ω+20(10)

150. trigintaddom = f_ω+30(10)

151. quadragintaddom = f_ω+40(10)

152. quinquagintaddom = f_ω+50(10)

153. sexagintaddom = f_ω+60(10)

154. septuagintaddom = f_ω+70(10)

155. octogintaddom = f_ω+80(10)

156. nonagintaddom = f_ω+90(10)

157. hectaddom = f_ω+100(10)

158. pentacosaddom = f_ω+500(10)

159. kiladdom = f_ω+1000(10)

160. myraddom = f_ω+10000(10)

161. megaddom = f_ω+1000000(10)

162. gigaddom = f_ω+1000000000(10)

163. teraddom = f_ω+(10^12)(10)

164. petaddom = f_ω+(10^15)(10)

165. exaddom = f_ω+(10^18)(10)

166. zettaddom = f_ω+(10^21)(10)

167. yottaddom = f_ω+(10^24)(10)

168. ronnaddom = f_ω+(10^27)(10)

169. quettaddom = f_ω+(10^30)(10)

(total so far: 373)

Multiplication series (ω2 - ω3)

First -argum-bultom already listed above, I will skip until bultom instead.

1. bultom = f_ω2(10)

2. hexadecargum-bultom = f_ω2(16) = f_ω+16(16)

3. hectargum-bultom = f_ω2(100) = f_ω+100(100)

4. millargum-bultom = f_ω2(1000) = f_ω+1000(1000)

5. balumargum-bultom = f_ω2(f_2(10)) = f_ω+10240(10240)

6. tralumargum-bultom = f_ω2(f_3(10))

7. quadralumargum-bultom = f_ω2(f_4(10))

8. quintalumargum-bultom = f_ω2(f_5(10))

9. dekalumargum-bultom / zeraddomargum-bultom = f_ω2(f_ω(10))

10. unaddomargum-bultom = f_ω2(f_ω+1(10))

11. baddomargum-bultom = f_ω2(f_ω+2(10))

12. traddomargum-bultom = f_ω2(f_ω+3(10))

13. quadraddomargum-bultom = f_ω2(f_ω+4(10))

14. quintaddomargum-bultom = f_ω2(f_ω+5(10))

15. grand bultom = f_ω2(f_ω2(10))

16. trargum-unadd-bultom = f_{ω2+1}(3)

17. tetrargum-unadd-bultom = f_{ω2+1}(4)

18. pentargum-unadd-bultom = f_{ω2+1}(5)

19. octargum-unadd-bultom = f_{ω2+1}(8)

20. unadd-bultom = f_{ω2+1}(10)

21. hectargum-unadd-bultom = f_{ω2+1}(100)

22. dekalumargum-unadd-bultom = f_{ω2+1}(f_ω(10))

23. dekaddomargum-unadd-bultom = f_{ω2+1}(f_ω2(10))

24. grand unadd-bultom = f_{ω2+1}(f_{ω2+1}(10))

25. trargum-badd-bultom = f_{ω2+2}(3)

26. pentargum-badd-bultom = f_{ω2+2}(5)

27. octargum-badd-bultom = f_{ω2+2}(8)

28. badd-bultom = f_{ω2+2}(10)

29. hectargum-badd-bultom = f_{ω2+2}(100)

30. dekalumargum-badd-bultom = f_{ω2+2}(f_ω(10))

31. dekaddomargum-badd-bultom = f_{ω2+2}(f_ω2(10))

32. unadd-bultomargum-badd-bultom = f_{ω2+2}(f_{ω2+1}(10))

33. grand badd-bultom = f_{ω2+2}(f_{ω2+2}(10))

34. trargum-tradd-bultom / trargum-trultom / trargum-bexom = f_{ω2+3}(3) = f_{ω3}(3) = f{ω^2}(3)

35. pentargum-tradd-bultom = f_{ω2+3}(5)

36. octargum-tradd-bultom = f_{ω2+3}(8)

37. tradd-bultom = f_{ω2+3}(10)

38. hectargum-tradd-bultom = f_{ω2+3}(100)

39. dekalumargum-tradd-bultom = f_{ω2+3}(f_ω(10))

40. dekaddomargum-tradd-bultom = f_{ω2+3}(f_ω2(10))

41. grand tradd-bultom = f_{ω2+3}(f_{ω2+3}(10))

42. tetrargum-quadradd-bultom / tetrargum-trultom = f_{ω2+4}(4) = f_{ω3}(4)

43. pentargum-quadradd-bultom = f_{ω2+4}(5)

44. octargum-quadradd-bultom = f_{ω2+4}(8)

45. quadradd-bultom = f_{ω2+4}(10)

46. hectargum-quadradd-bultom = f_{ω2+4}(100)

47. dekalumargum-quadradd-bultom = f_{ω2+4}(f_ω(10))

48. dekaddomargum-quadradd-bultom = f_{ω2+4}(f_ω2(10))

49. grand quadradd-bultom = f_{ω2+4}(f_{ω2+4}(10))

50. pentargum-quintadd-bultom / pentargum-trultom = f_{ω2+5}(5) = f_{ω3}(5)

51. octargum-quintadd-bultom = f_{ω2+5}(8)

52. quintadd-bultom = f_{ω2+5}(10)

53. hectargum-quintadd-bultom = f_{ω2+5}(100)

54. dekalumargum-quintadd-bultom = f_{ω2+5}(f_ω(10))

55. dekaddomargum-quintadd-bultom = f_{ω2+5}(f_ω2(10))

56. grand quintadd-bultom = f_{ω2+5}(f_{ω2+5}(10))

57. sextadd-bultom = f_{ω2+6}(10)

58. hectargum-sextadd-bultom = f_{ω2+6}(100)

59. dekalumargum-sextadd-bultom = f_{ω2+6}(f_ω(10))

60. dekaddomargum-sextadd-bultom = f_{ω2+6}(f_ω2(10))

61. grand sexadd-bultom = f_{ω2+6}(f_{ω2+6}(10))

62. septadd-bultom = f_{ω2+7}(10)

63. hectargum-septadd-bultom = f_{ω2+7}(100)

64. dekalumargum-septadd-bultom = f_{ω2+7}(f_ω(10))

65. dekaddomargum-septadd-bultom = f_{ω2+7}(f_ω2(10))

66. grand septadd-bultom = f_{ω2+7}(f_{ω2+7}(10))

67. octargum-octadd-bultom / octargum-trultom = f_{ω2+8}(8) = f_{ω3}(8)

68. octadd-bultom = f_{ω2+8}(10)

69. hectargum-octadd-bultom = f_{ω2+8}(100)

70. dekalumargum-octadd-bultom = f_{ω2+8}(f_ω(10))

71. dekaddomargum-octadd-bultom = f_{ω2+8}(f_ω2(10))

72. grand octadd-bultom = f_{ω2+8}(f_{ω2+8}(10))

73. nonadd-bultom f_{ω2+9}(10)

74. hectargum-nonadd-bultom = f_{ω2+9}(100)

75. dekalumargum-nonadd-bultom = f_{ω2+9}(f_ω(10))

76. dekaddomargum-nonadd-bultom = f_{ω2+9}(f_ω2(10))

77. grand nonadd-bultom = f_{ω2+9}(f_{ω2+9}(10))

78. dekadd-bultom / trultom = f_{ω2+10}(10)

79. hectargum-dekadd-bultom = f_{ω2+10}(100)

80. dekalumargum-dekadd-bultom = f_{ω2+10}(f_ω(10))

81. dekaddomargum-dekadd-bultom = f_{ω2+10}(f_ω2(10))

82. grand dekadd-bultom = f_{ω2+10}(f_{ω2+10}(10))

83. ununadd-bultom = f_{ω2+11}(10)

84. bunadd-bultom = f_{ω2+12}(10)

85. trunadd-bultom = f_{ω2+13}(10)

86. quadrunadd-bultom = f_{ω2+14}(10)

87. quintunadd-bultom = f_{ω2+15}(10)

88. sextunadd-bultom = f_{ω2+16}(10)

89. septunadd-bultom = f_{ω2+17}(10)

90. octunadd-bultom = f_{ω2+18}(10)

91. nonunadd-bultom = f_{ω2+19}(10)

92. vigadd-bultom = f_{ω2+20}(10)

93. hectadd-bultom = f_{ω2+100}(10)

94. killadd-bultom = f_{ω2+1000}(10)

95. megadd-bultom = f_{ω2+1000000}(10)

96. gigadd-bultom = f_{ω2+1000000000}(10)

97. teradd-bultom = f_{ω2+10^12}(10)

98. petadd-bultom = f_{ω2+10^15}(10)

99. dodecargum-trultom = f_ω3(12) = f_ω2+12(12)

100. hexadecargum-trultom = f_ω3(16) = f_ω2+16(16)

101. hectargum-trultom = f_{ω3}(100)

102. millargum-trultom = f_ω3(1000) = f_ω2+1000(1000)

103. balumargum-trultom = f_ω3(f_2(10)) = f_ω2+10240(10240)

104. dekalumargum-trultom / zeraddomargum-trultom = f_ω3(f_ω(10))

105. unaddomargum-trultom = f_ω3(f_ω+1(10))

106. baddomargum-trultom = f_ω3(f_ω+2(10))

107. bultomargum-trultom = f_ω3(f_ω2(10))

108. unadd-bultomargum-trultom = f_ω3(f_ω2+1(10))

109. badd-bultomargum-trultom = f_ω3(f_ω2+2(10))

110. grand trultom = f_ω3(f_ω3(10))

111. tetrargum-unadd-trultom = f_{ω3+1}(4)

112. pentargum-unadd-trultom = f_{ω3+1}(5)

113. octargum-unadd-trultom = f_{ω3+1}(8)

114. unadd-trultom = f_{ω3+1}(10)

115. hectargum-unadd-trultom = f_{ω3+1}(100)

116. dekalumargum-unadd-trultom = f_ω3+1(f_ω(10))

117. bultomargum-unadd-trultom = f_ω3+1(f_ω2(10))

118. unadd-bultomargum-unadd-trultom = f_ω3+1(f_ω2+1(10))

119. badd-bultomargum-unadd-trultom = f_ω3+1(f_ω2+2(10))

120. trultomargum-unadd-trultom = f_ω3+1(f_ω3(10))

121. grand unadd-trultom = f_ω3+1(f_ω3+1(10))

122. tetrargum-badd-trultom = f_{ω3+2}(4)

123. pentargum-badd-trultom = f_{ω3+2}(5)

124. octargum-badd-trultom = f_{ω3+2}(8)

125. badd-trultom = f_{ω3+2}(10)

126. hectargum-badd-trultom = f_{ω3+2}(100)

127. dekalumargum-badd-trultom = f_ω3+2(f_ω(10))

128. bultomargum-badd-trultom = f_ω3+2(f_ω2(10))

129. trultomargum-badd-trultom = f_ω3+2(f_ω3(10))

130. unadd-trultomargum-badd-trultom = f_ω3+2(f_ω3+1(10))

131. grand badd-trultom = f_ω3+2(f_ω3+2(10))

132. tetrargum-tradd-trultom = f_{ω3+3}(4)

133. pentargum-tradd-trultom = f_{ω3+3}(5)

134. octargum-tradd-trultom = f_{ω3+3}(8)

135. tradd-trultom = f_{ω3+3}(10)

136. hectargum-tradd-trultom = f_{ω3+3}(100)

137. dekalumargum-tradd-trultom = f_ω3+3(f_ω(10))

138. bultomargum-tradd-trultom = f_ω3+3(f_ω2(10))

139. trultomargum-tradd-trultom = f_ω3+3(f_ω3(10))

140. unadd-trultomargum-tradd-trultom = f_ω3+3(f_ω3+1(10))

141. badd-trultomargum-tradd-trultom = f_ω3+3(f_ω3+2(10))

142. grand tradd-trultom = f_ω3+3(f_ω3+3(10))

143. tetrargum-quadradd-trultom / tetrargum-quadrultom / tetrargum-bexom = f_{ω3+4}(4) = f{ω4}(4) = f{ω^2}(4)

144. pentargum-quadradd-trultom = f_{ω3+4}(5)

145. octargum-quadradd-trultom = f_{ω3+4}(8)

146. quadradd-trultom = f_{ω3+4}(10)

147. hectargum-quadradd-trultom = f_{ω3+4}(100)

148. dekalumargum-quadradd-trultom = f_ω3+4(f_ω(10))

149. bultomargum-quadradd-trultom = f_ω3+4(f_ω2(10))

150. trultomargum-quadradd-trultom = f_ω3+4(f_ω3(10))

151. grand quadradd-trultom = f_ω3+4(f_ω3+4(10))

152. pentargum-quintadd-trultom / pentargum-quadrultom = f_{ω3+5}(5) = f_{ω4}(5)

153. octargum-quintadd-trultom = f_{ω3+5}(8)

154. quintadd-trultom = f_{ω3+5}(10)

155. hectargum-quintadd-trultom = f_{ω3+5}(100)

156. dekalumargum-quintadd-trultom = f_ω3+5(f_ω(10))

157. bultomargum-quintadd-trultom = f_ω3+5(f_ω2(10))

158. trultomargum-quintadd-trultom = f_ω3+5(f_ω3(10))

159. grand quintadd-trultom = f_ω3+5(f_ω3+5(10))

160. sextadd-trultom = f_{ω3+6}(10)

161. hectargum-sextadd-trultom = f_{ω3+6}(100)

162. dekalumargum-sextadd-trultom = f_ω3+6(f_ω(10))

163. bultomargum-sextadd-trultom = f_ω3+6(f_ω2(10))

164. trultomargum-sextadd-trultom = f_ω3+6(f_ω3(10))

165. grand sextadd-trultom = f_ω3+6(f_ω3+6(10))

166. septadd-trultom = f_{ω3+7}(10)

167. hectargum-septadd-trultom = f_{ω3+7}(100)

168. dekalumargum-septadd-trultom = f_ω3+7(f_ω(10))

169. bultomargum-septadd-trultom = f_ω3+7(f_ω2(10))

170. trultomargum-septadd-trultom = f_ω3+7(f_ω3(10))

171. grand septadd-trultom = f_ω3+7(f_ω3+7(10))

172. octadd-trultom = f_{ω3+8}(10)

173. hectargum-octadd-trultom = f_{ω3+8}(100)

174. dekalumargum-octadd-trultom = f_ω3+8(f_ω(10))

175. bultomargum-octadd-trultom = f_ω3+8(f_ω2(10))

176. trultomargum-octadd-trultom = f_ω3+8(f_ω3(10))

177. grand octadd-trultom = f_ω3+8(f_ω3+8(10))

178. nonadd-trultom = f_{ω3+9}(10)

179. hectargum-nonadd-trultom = f_{ω3+9}(100)

180. dekalumargum-nonadd-trultom = f_ω3+9(f_ω(10))

181. bultomargum-nonadd-trultom = f_ω3+9(f_ω2(10))

182. trultomargum-nonadd-trultom = f_ω3+9(f_ω3(10))

183. grand nonadd-trultom = f_ω3+9(f_ω3+9(10))

184. dekadd-trultom = f_{ω3+10}(10)

185. hectargum-dekadd-trultom = f_{ω3+10}(100)

186. dekalumargum-dekadd-trultom = f_ω3+10(f_ω(10))

187. bultomargum-dekadd-trultom = f_ω3+10(f_ω2(10))

188. trultomargum-dekadd-trultom = f_ω3+10(f_ω3(10))

189. grand dekadd-trultom = f_ω3+10(f_ω3+10(10))

190. ununadd-trultom = f_{ω3+11}(10)

191. bunadd-trultom = f_{ω3+12}(10)

192. trunadd-trultom = f_{ω3+13}(10)

193. quadrunadd-trultom = f_{ω3+14}(10)

194. quintunadd-trultom = f_{ω3+15}(10)

195. sextunadd-trultom = f_{ω3+16}(10)

196. septunadd-trultom = f_{ω3+17}(10)

197. octunadd-trultom = f_{ω3+18}(10)

198. nonunadd-trultom = f_{ω3+19}(10)

199. vigadd-trultom = f_{ω3+20}(10)

200. hectadd-trultom = f_{ω3+100}(10)

201. killadd-trultom = f_{ω3+1000}(10)

202. megadd-trultom = f_{ω3+1000000}(10)

203. gigadd-trultom = f_{ω3+1000000000}(10)

204. teradd-trultom = f_{ω3+10^12}(10)

205. petadd-trultom = f_{ω3+10^15}(10)

(ω4 - ω6)

1. dodecargum-quadrultom = f_ω4(12) = f_ω3+12(12)

2. hexadecargum-quadrultom = f_ω4(16) = f_ω3+16(16)

3. hectargum-quadrultom = f_{ω4}(100)

4. millargum-quadrultom = f_ω4(1000) = f_ω3+1000(1000)

5. balumargum-quadrultom = f_ω4(f_2(10)) = f_ω3+10240(10240)

6. zeraddomargum-quadrultom = f_ω4(f_ω(10))

7. bultomargum-quadrultom = f_ω4(f_ω2(10))

8. trultomargum-quadrultom = f_ω4(f_ω3(10))

9. grand quadrultom = f_ω4(f_ω4(10))

10. trargum-unadd-quadrultom = f_{ω4+1}(3)

11. pentargum-unadd-quadrultom = f_{ω4+1}(5)

12. unadd-quadrultom = f_{ω4+1}(10)

13. hectargum-unadd-quadrultom = f_{ω4+1}(100)

14. zeraddomargum-unadd-quadrultom = f_ω4+1(f_ω(10))

15. bultomargum-unadd-quadrultom = f_ω4+1(f_ω2(10))

16. trultomargum-unadd-quadrultom = f_ω4+1(f_ω3(10))

17. quadrultomargum-unadd-quadrultom = f_ω4+1(f_ω4(10))

18. grand unadd-quadrultom = f_ω4+1(f_ω4+1(10))

19. trargum-badd-quadrultom = f_{ω4+2}(3)

20. pentargum-badd-quadrultom = f_{ω4+2}(5)

21. badd-quadrultom = f_{ω4+2}(10)

22. hectargum-badd-quadrultom = f_{ω4+2}(100)

23. zeraddomargum-badd-quadrultom = f_ω4+2(f_ω(10))

24. bultomargum-badd-quadrultom = f_ω4+2(f_ω2(10))

25. trultomargum-badd-quadrultom = f_ω4+2(f_ω3(10))

26. quadrultomargum-badd-quadrultom = f_ω4+2(f_ω4(10))

27. grand badd-quadrultom = f_ω4+2(f_ω4+2(10))

28. trargum-tradd-quadrultom = f_{ω4+3}(3)

29. pentargum-tradd-quadrultom = f_{ω4+3}(5)

30. tradd-quadrultom = f_{ω4+3}(10)

31. hectargum-tradd-quadrultom = f_{ω4+3}(100)

32. zeraddomargum-tradd-quadrultom = f_ω4+3(f_ω(10))

33. quadrultomargum-tradd-quadrultom = f_ω4+3(f_ω4(10))

34. grand tradd-quadrultom = f_ω4+3(f_ω4+3(10))

35. tetrargum-quadradd-quadrultom = f_{ω4+4}(4) = f_{ω5}(4)

36. pentargum-quadradd-quadrultom = f_{ω4+4}(5)

37. quadradd-quadrultom = f_{ω4+4}(10)

38. hectargum-quadradd-quadrultom = f_{ω4+4}(100)

39. zeraddomargum-quadradd-quadrultom = f_ω4+4(f_ω(10))

40. quadrultomargum-quadradd-quadrultom = f_ω4+4(f_ω4(10))

41. grand quadradd-quadrultom = f_ω4+4(f_ω4+4(10))

42. pentargum-quintadd-quadrultom = f_{ω4+5}(5) = f_{ω5}(5) = f_{ω^2}(5)

43. quintadd-quadrultom = f_{ω4+5}(10)

44. hectargum-quintadd-quadrultom = f_{ω4+5}(100)

45. zeraddomargum-quintadd-quadrultom = f_ω4+5(f_ω(10))

46. quadrultomargum-quintadd-quadrultom = f_ω4+5(f_ω4(10))

47. grand quintadd-quadrultom = f_ω4+5(f_ω4+5(10))

48. First resort of hierarchy = f_ω4+5(f_ω4+5(f_ω4+4(f_ω(10)))

49. pentargum-sextadd-quadrultom = f_{ω4+6}(5)

50. sextadd-quadrultom = f_{ω4+6}(10)

51. hectargum-sextadd-quadrultom = f_{ω4+6}(100)

52. zeraddomargum-sextadd-quadrultom = f_ω4+6(f_ω(10))

53. quadrultomargum-sextadd-quadrultom = f_ω4+6(f_ω4(10))

54. grand sextadd-quadrultom = f_ω4+6(f_ω4+6(10))

55. pentargum-septadd-quadrultom = f_{ω4+7}(5)

56. septadd-quadrultom = f_{ω4+7}(10)

57. hectargum-septadd-quadrultom = f_{ω4+7}(100)

58. zeraddomargum-septadd-quadrultom = f_ω4+7(f_ω(10))

59. quadrultomargum-septadd-quadrultom = f_ω4+7(f_ω4(10))

60. grand septadd-quadrultom = f_ω4+7(f_ω4+7(10))

61. pentargum-octadd-quadrultom = f_{ω4+8}(5)

62. octadd-quadrultom = f_{ω4+8}(10)

63. hectargum-octadd-quadrultom = f_{ω4+8}(100)

64. zeraddomargum-octadd-quadrultom = f_ω4+8(f_ω(10))

65. quadrultomargum-octadd-quadrultom = f_ω4+8(f_ω4(10))

66. grand octadd-quadrultom = f_ω4+8(f_ω4+8(10))

67. pentargum-nonadd-quadrultom = f_{ω4+9}(5)

68. nonadd-quadrultom = f_{ω4+9}(10)

69. hectargum-octadd-quadrultom = f_{ω4+9}(100)

70. zeraddomargum-nonadd-quadrultom = f_ω4+9(f_ω(10))

71. quadrultomargum-nonadd-quadrultom = f_ω4+9(f_ω4(10))

72. grand nonadd-quadrultom = f_ω4+9(f_ω4+9(10))

73. pentargum-dekadd-quadrultom = f_{ω4+10}(5)

74. dekadd-quadrultom = f_{ω4+10}(10)

75. hectargum-dekadd-quadrultom = f_{ω4+10}(100)

76. zeraddomargum-dekadd-quadrultom = f_ω4+10(f_ω(10))

77. quadrultomargum-dekadd-quadrultom = f_ω4+10(f_ω4(10))

78. grand dekadd-quadrultom = f_ω4+10(f_ω4+10(10))

79. ununadd-quadrultom = f_{ω4+11}(10)

80. bunadd-quadrultom = f_{ω4+12}(10)

81. trunadd-quadrultom = f_{ω4+13}(10)

82. quadrunadd-quadrultom = f_{ω4+14}(10)

83. quintunadd-quadrultom = f_{ω4+15}(10)

84. sextunadd-quadrultom = f_{ω4+16}(10)

85. septunadd-quadrultom = f_{ω4+17}(10)

86. octunadd-quadrultom = f_{ω4+18}(10)

87. nonunadd-quadrultom = f_{ω4+19}(10)

88. vigadd-quadrultom = f_{ω4+20}(10)

89. hectadd-quadrultom = f_{ω4+100}(10)

90. killadd-quadrultom = f_{ω4+1000}(10)

91. megadd-quadrultom = f_{ω4+1000000}(10)

92. gigadd-quadrultom = f_{ω4+1000000000}(10)

93. teradd-quadrultom = f_{ω4+10^12}(10)

94. petadd-quadrultom = f_{ω4+10^15}(10)

95. dodecargum-quintultom = f_ω5(12) = f_ω4+12(12)

96. hexadecargum-quintultom = f_ω5(16) = f_ω4+16(16)

97. hectargum-quintultom = f_{ω5}(100)

98. millargum-quintultom = f_ω5(1000) = f_ω5+1000(1000)

99. zeraddomargum-quintultom = f_{ω5}(f_{ω}(10))

100. bultomargum-quintultom = f_{ω5}(f_{ω2}(10))

101. trultomargum-quintultom = f_{ω5}(f_{ω3}(10))

102. quadrultomargum-quintultom = f_{ω5}(f_{ω4}(10))

103. grand quintultom = f_{ω5}(f_{ω5}(10))

104. trargum-unadd-quintultom = f_{ω5+1}(3)

105. pentargum-unadd-quintultom = f_{ω5+1}(5)

106. unadd-quintultom = f_{ω5+1}(10)

107. hectargum-unadd-quintultom = f_{ω5+1}(100)

108. zeraddomargum-unadd-quintultom = f_ω5+1(f_ω(10))

109. bultomargum-unadd-quintultom = f_ω5+1(f_ω2(10))

110. trultomargum-unadd-quintultom = f_ω5+1(f_ω3(10))

111. quadrultomargum-unadd-quintultom = f_ω5+1(f_ω4(10))

112. quintultomargum-unadd-quintultom = f_ω5+1(f_ω5(10))

113. grand unadd-quintultom = f_ω5+1(f_ω5+1(10))

114. trargum-badd-quintultom = f_{ω5+2}(3)

115. pentargum-badd-quintultom = f_{ω5+2}(5)

116. badd-quintultom = f_{ω5+2}(10)

117. hectargum-badd-quintultom = f_{ω5+2}(100)

118. zeraddomargum-badd-quintultom = f_ω5+2(f_ω(10))

119. bultomargum-badd-quintultom = f_ω5+2(f_ω2(10))

120. trultomargum-badd-quintultom = f_ω5+2(f_ω3(10))

121. quadrultomargum-badd-quintultom = f_ω5+2(f_ω4(10))

122. quintultomargum-badd-quintultom = f_ω5+2(f_ω5(10))

123. grand badd-quintultom = f_ω5+2(f_ω5+2(10))

124. trargum-tradd-quintultom = f_{ω5+3}(3) = f_{ω6}(3)

125. tetrargum-tradd-quintultom = f_{ω5+3}(4)

126. tradd-quintultom = f_{ω5+3}(10)

127. hectargum-tradd-quintultom = f_{ω5+3}(100)

128. zeraddomargum-tradd-quintultom = f_ω5+3(f_ω(10))

129. quintultomargum-tradd-quintultom = f_ω5+3(f_ω5(10))

130. grand tradd-quintultom = f_ω5+3(f_ω5+3(10))

131. tetrargum-quadradd-quintultom = f_{ω5+4}(4) = f_{ω6}(4)

132. quadradd-quintultom = f_{ω5+4}(10)

133. hectargum-quadradd-quintultom = f_{ω5+4}(100)

134. zeraddomargum-quadradd-quintultom = f_ω5+4(f_ω(10))

135. quintultomargum-quadradd-quintultom = f_ω5+4(f_ω5(10))

136. grand quadradd-quadrultom = f_ω5+4(f_ω5+4(10))

137. pentargum-quintadd-quintultom = f_{ω5+5}(5) = f_{ω6}(5)

138. quintadd-quintultom = f_{ω5+5}(10)

139. hectargum-quintadd-quintultom = f_{ω5+5}(100)

140. zeraddomargum-quintadd-quintultom = f_ω5+5(f_ω(10))

141. quintultomargum-quintadd-quintultom = f_ω5+5(f_ω5(10))

142. grand quintadd-quadrultom = f_ω5+5(f_ω5+5(10))

143. hexargum-sextadd-quintultom = f_{ω5+6}(6) = f_{ω6}(6) = f_{ω^2}(6)

144. sextadd-quintultom = f_{ω5+6}(10)

145. hectargum-sextadd-quintultom = f_{ω5+6}(100)

146. zeraddomargum-sextadd-quintultom = f_ω5+6(f_ω(10))

147. quintultomargum-sextadd-quintultom = f_ω5+6(f_ω5(10))

148. grand sextadd-quadrultom = f_ω5+6(f_ω5+6(10))

149. septadd-quintultom = f_{ω5+7}(10)

150. hectargum-septadd-quintultom = f_{ω5+7}(100)

151. zeraddomargum-septadd-quintultom = f_ω5+7(f_ω(10))

152. quintultomargum-septadd-quintultom = f_ω5+7(f_ω5(10))

153. grand septadd-quadrultom = f_ω5+7(f_ω5+7(10))

154. octadd-quintultom = f_{ω5+8}(10)

155. hectargum-octadd-quintultom = f_{ω5+8}(100)

156. zeraddomargum-octadd-quintultom = f_ω5+8(f_ω(10))

157. quintultomargum-octadd-quintultom = f_ω5+8(f_ω5(10))

158. grand octadd-quadrultom = f_ω5+8(f_ω5+8(10))

159. nonadd-quintultom = f_{ω5+9}(10)

160. hectargum-nonadd-quintultom = f_{ω5+9}(100)

161. zeraddomargum-nonadd-quintultom = f_ω5+9(f_ω(10))

162. quintultomargum-nonadd-quintultom = f_ω5+9(f_ω5(10))

163. grand nonadd-quadrultom = f_ω5+9(f_ω5+9(10))

164. dekadd-quintultom = f_{ω5+10}(10)

165. hectargum-dekadd-quintultom = f_{ω5+10}(100)

166. zeraddomargum-dekadd-quintultom = f_ω5+10(f_ω(10))

167. quintultomargum-dekadd-quintultom = f_ω5+10(f_ω5(10))

168. grand dekadd-quadrultom = f_ω5+10(f_ω5+10(10))

169. ununadd-quintultom = f_{ω5+11}(10)

170. bunadd-quintultom = f_{ω5+12}(10)

171. trunadd-quintultom = f_{ω5+13}(10)

172. quadrunadd-quintultom = f_{ω5+14}(10)

173. quintunadd-quintultom = f_{ω5+15}(10)

174. sextunadd-quintultom = f_{ω5+16}(10)

175. septunadd-quintultom = f_{ω5+17}(10)

176. octunadd-quintultom = f_{ω5+18}(10)

177. nonunadd-quintultom = f_{ω5+19}(10)

178. vigadd-quintultom = f_{ω5+20}(10)

179. hectadd-quintultom = f_{ω5+100}(10)

180. killadd-quintultom = f_{ω5+1000}(10)

181. megadd-quintultom = f_{ω5+1000000}(10)

182. gigadd-quintultom = f_{ω5+1000000000}(10)

183. teradd-quintultom = f_{ω5+10^12}(10)

184. petadd-quintultom = f_{ω5+10^15}(10)

185. dodecargum-sextultom = f_ω6(12) = f_ω5+12(12)

186. hexadecargum-sextultom = f_ω5(16) = f_ω5+16(16)

187. hectargum-sextultom = f_{ω6}(100)

188. millargum-sextultom = f_ω6(1000) = f_ω5+1000(1000)

189. zeraddomargum-sextultom = f_{ω6}(f_{ω}(10))

190. bultomargum-sextultom = f_{ω6}(f_{ω2}(10))

191. trultomargum-sextultom = f_{ω6}(f_{ω3}(10))

192. quadrultomargum-sextultom = f_{ω6}(f_{ω4}(10))

193. quintultomargum-sextultom = f_{ω6}(f_{ω5}(10))

194. grand sextultom = f_{ω6}(f_{ω6}(10))

195. trargum-unadd-sextultom = f_{ω6+1}(3)

196. pentargum-unadd-sextultom = f_{ω6+1}(5)

197. unadd-sextultom = f_{ω6+1}(10)

198. hectargum-unadd-sextultom = f_{ω6+1}(100)

199. zeraddomargum-unadd-sextultom = f_ω6+1(f_ω(10))

200. bultomargum-unadd-sextultom = f_ω6+1(f_ω2(10))

201. trultomargum-unadd-sextultom = f_ω6+1(f_ω3(10))

202. quadrultomargum-unadd-sextultom = f_ω6+1(f_ω4(10))

203. quintultomargum-unadd-sextultom = f_ω6+1(f_ω5(10))

204. sextultomargum-unadd-sextultom = f_ω6+1(f_ω6(10))

205. grand unadd-sextultom = f_ω6+1(f_ω6+1(10))

206. trargum-badd-quintultom = f_{ω6+2}(3)

207. pentargum-badd-quintultom = f_{ω4+2}(5)

208. badd-sextultom = f_{ω6+2}(10)

209. hectargum-badd-sextultom = f_{ω6+2}(100)

210. zeraddomargum-badd-sextultom = f_ω6+2(f_ω(10))

211. bultomargum-badd-sextultom = f_ω6+2(f_ω2(10))

212. trultomargum-badd-sextultom = f_ω6+2(f_ω3(10))

213. quadrultomargum-badd-sextultom = f_ω6+2(f_ω4(10))

214. quintultomargum-badd-sextultom = f_ω6+2(f_ω5(10))

215. sextultomargum-badd-sextultom = f_ω6+2(f_ω6(10))

216. grand badd-sextultom = f_ω6+2(f_ω6+2(10))

217. trargum-tradd-sextultom = f_{ω6+3}(3) = f_{ω7}(3)

218. tetrargum-tradd-sextultom = f_{ω6+3}(4)

219. pentargum-tradd-sextultom = f_{ω6+3}(5)

220. tradd-sextultom = f_{ω6+3}(10)

221. hectargum-tradd-sextultom = f_{ω6+3}(100)

222. zeraddomargum-tradd-sextultom = f_ω6+3(f_ω(10))

223. sextultomargum-tradd-sextultom = f_ω6+3(f_ω6(10))

224. grand tradd-quintultom = f_ω6+3(f_ω6+3(10))

225. tetrargum-quadradd-sextultom = f_{ω6+4}(4) = f_{ω7}(4)

226. quadradd-sextultom = f_{ω6+4}(10)

227. hectargum-quadradd-sextultom = f_{ω6+4}(100)

228. zeraddomargum-quadradd-sextultom = f_ω6+4(f_ω(10))

229. quintultomargum-quadradd-sextultom = f_ω6+4(f_ω6(10))

230. grand quadradd-sextultom = f_ω6+4(f_ω6+4(10))

231. pentargum-quintadd-sextultom= f_{ω6+5}(5) = f_{ω7}(5)

232. quintadd-sextultom = f_{ω6+5}(10)

233. hectargum-quintadd-sextultom = f_{ω6+5}(100)

234. zeraddomargum-quintadd-sextultom = f_ω6+5(f_ω(10))

235. quintultomargum-quintadd-sextultom = f_ω6+5(f_ω6(10))

236. grand quintadd-sextultom = f_ω6+5(f_ω6+5(10))

237. sextadd-sextultom = f_{ω6+6}(10)

238. hectargum-sextadd-sextultom = f_{ω6+6}(100)

239. zeraddomargum-sextadd-sextultom = f_ω6+6(f_ω(10))

240. quintultomargum-sextadd-sextultom = f_ω6+6(f_ω6(10))

241. grand sextadd-sextultom = f_ω6+6(f_ω6+6(10))

242. heptargum-septadd-sextultom = f_{ω6+7}(7) = f_{ω7}(7) = f_{ω^2}(7)

243. septadd-sextultom = f_{ω6+7}(10)

244. hectargum-septadd-sextultom = f_{ω6+7}(100)

245. zeraddomargum-septadd-sextultom = f_ω6+7(f_ω(10))

246. quintultomargum-septadd-sextultom = f_ω6+7(f_ω6(10))

247. grand septadd-sextultom = f_ω6+7(f_ω6+7(10))

248. octadd-sextultom = f_{ω6+8}(10)

249. hectargum-octadd-sextultom = f_{ω6+8}(100)

250. zeraddomargum-octadd-sextultom = f_ω6+8(f_ω(10))

251. quintultomargum-octadd-sextultom = f_ω6+8(f_ω5(10))

252. grand octadd-sextultom = f_ω6+8(f_ω6+8(10))

253. nonadd-sextultom = f_{ω6+9}(10)

254. zeraddomargum-nonadd-sextultom = f_ω6+9(f_ω(10))

255. quintultomargum-nonadd-sextultom = f_ω6+9(f_ω6(10))

256. grand nonadd-sextultom = f_ω6+9(f_ω6+9(10))

257. dekadd-sextultom = f_{ω6+10}(10)

258. hectargum-dekadd-sextultom = f_{ω6+10}(100)

259. zeraddomargum-dekadd-sextultom = f_ω6+10(f_ω(10))

260. quintultomargum-dekadd-sextultom = f_ω6+10(f_ω6(10))

261. grand dekadd-sextultom = f_ω6+10(f_ω6+10(10))

262. ununadd-sextultom = f_{ω6+11}(10)

263. bunadd-sextultom = f_{ω6+12}(10)

264. trunadd-sextultom = f_{ω6+13}(10)

265. quadrunadd-sextultom = f_{ω6+14}(10)

266. quintunadd-sextultom = f_{ω6+15}(10)

267. sextunadd-sextultom = f_{ω6+16}(10)

268. septunadd-sextultom = f_{ω6+17}(10)

269. octunadd-sextultom = f_{ω6+18}(10)

270. nonunadd-sextultom = f_{ω6+19}(10)

271. vigadd-sextultom = f_{ω6+20}(10)

272. hectadd-sextultom = f_{ω6+100}(10)

273. killadd-sextultom = f_{ω6+1000}(10)

274. megadd-sextultom = f_{ω6+1000000}(10)

275. gigadd-sextultom = f_{ω6+1000000000}(10)***

(ω7 - ω8)

1. unadd-septultom f_{ω7+1}(10)

2. badd-septultom f_{ω7+2}(10)

3. tradd-septultom f_{ω7+3}(10)

4. quadradd-septultom f_{ω7+4}(10)

5. quintadd-septultom f_{ω7+5}(10)

6. sextadd-septultom f_{ω7+6}(10)

7. septadd-septultom f_{ω7+7}(10)

8. octadd-septultom f_{ω7+8}(10)

9. nonadd-septultom f_{ω7+9}(10)

10. dekadd-septultom f_{ω7+10}(10)

11. ununadd-septultom f_{ω7+11}(10)

12. bunadd-septultom f_{ω7+12}(10)

13. trunadd-septultom f_{ω7+13}(10)

14. quadrunadd-septultom f_{ω7+14}(10)

15. quintunadd-septultom f_{ω7+15}(10)

16. sextunadd-septultom f_{ω7+16}(10)

17. septunadd-septultom f_{ω7+17}(10)

18. octunadd-septultom f_{ω7+18}(10)

19. nonunadd-septultom f_{ω7+19}(10)

20. vigadd-septultom f_{ω7+20}(10)

(total so far (up to ***): 853)