Note: Not actually coined by Jonathan Bowers.
(1) Googol = 10^100
(2) Googolplex = 10^10^100
(3) Googolduplex = 10^10^10^100
(4) Googoltriplex = 10^10^10^10^100
(5) Googolquadraplex = 10^10^10^10^10^100
(6) Googolquinplex = 10^10^10^10^10^10^100
(7) Decker = {10, 10, 2} = 10^^10 = 10^10^10^10^10^10^10^10^10^10 (10 10's)
(8) Giggol = {10, 100, 2} = 10^^100
(9) Mega = 2[5] (circle/pentagon) in Steinhaus-Moser notation (see also Robert Munafo's web page) ~ 2^^259 *Not actually Bowers'
(10) Tritri / supertri = {3, 3, 3} = 3^^^3 = 3^^3^^3 = 3^^3^27 = 3^^7,625,597,484,987
(11) Giggolplex = {10, {10, 100, 2}, 2} = 10^^10^^100
(12) Giggolduplex = {10, {10, {10, 100, 2}, 2}, 2} = 10^^10^^10^100
(13) Gaggol = {10, 100, 3} = 10^^^100
(14) Mega = 2[6] (hexagon) in Steinhaus-Moser notation ~ 2^^^2^259 *Not actually Bowers'
(15) Gaggolplex = {10, {10, 100, 3}, 3} = 10^^^10^^^100
(16) Tritet = {4, 4, 4} = 4^^^^4 = 4^^^4^^^4^^^4
(17) Gaggolduplex = {10, {10, {10, 100, 3}, 3}, 3} = 10^^^10^^^10^^^100
(18) Geegol = {10, 100, 4} = 10^^^^100
(19) Geegolplex = {10, {10, 100, 4}, 4} = 10^^^^10^^^^100
(20) Tripent = {5, 5, 5} = 5^^^^^5
(21) Gigol = {10, 100, 5} = 10^^^^^100
(22) Gigolplex = {10, {10, 100, 5}, 5} = 10^^^^^10^^^^^100
(23) Goggol = {10, 100, 6} = 10^^^^^^100
(24) Goggolplex = {10, {10, 100, 6}, 6} = 10^^^^^^10^^^^^^100
(25) Trisept = {7, 7, 7} = 7^^^^^^^7
(26) Gagol = {10, 100, 7} = 10^^^^^^^100
(27) Gagolplex = {10, {10, 100, 7}, 7} = 10^^^^^^^10^^^^^^^100
(28) Tridecal = {10, 10, 10} = 10 {10} 10 = 10^^^^^^^^^^10 (10 arrows)
(29) Boogol = {10, 10, 100} = 10 {100} 10 = 10^^^^^...^^^^^10 w/ 100 arrows
(30) Moser = M(2,M(2,3)-2) or M(2,Mega-2) in Hyper-Moser notation = 2 inside a mega-gon ~ 2 {mega} 4
(31) Boogolplex = {10, 10, {10, 10, 100}} = 10 {10 {100} 10} 10
(32) Boogolduplex = {10, 10, {10, 10, {10, 10, 100}}} = 10 {10 {10 {100} 10} 10} 10
(33) Boogoltriplex = {10, 10, {10, 10, {10, 10, {10, 10, 100}}}} = 10 {10 {10 {10 {100} 10} 10} 10} 10
(34) Graham's number = G64 where G0 = 4, G1 = 3^^^^3, Gn = 3^^^^...^^^^3 w/ G(n-1) arrows. Graham's number is approximately {3, 65, 1, 2} = 3 {{1}} 65 in BEAF. *Not actually Bowers'
(35) Corporal = {10, 100, 1, 2} = 10 {{1}} 100 = 10 {10 {10 {... 10 {10 {10} 10} 10 ...} 10} 10} 10 w/ 100 10's centered out
(36) Corporalplex = {10, {10, 100, 1, 2}, 1, 2}
(37) Grand tridecal = {10, 10, 10, 2} = 10 {{10}} 10
(38) Biggol = {10, 10, 100, 2} = 10 {{100}} 10 *Actually by Chris Bird
(39) Biggolplex = {10, 10, {10, 10, 100, 2}, 2} = 10 {{10 {{100}} 10}} 10
(40) Biggolduplex = {10, 10, {10, 10, {10, 10, 100, 2}, 2}, 2} = 10 {{10 {{10 {{100}} 10}} 10}} 10
(41) Tetratri = {3, 3, 3, 3} = 3 {{{3}}} 3 ~ GOLLY TELLY it's huge!
(41) Baggol = {10, 10, 100, 3} = 10 {{{100}}} 10
(42) Baggolplex = {10, 10, {10, 10, 100, 3}, 3} = 10 {{{10 {{{100}}} 10}}} 10
(43) Supertet / tetratet = {4, 4, 4, 4} = 4 {{{{4}}}} 4
(44) Beegol = {10, 10, 100, 4} = 10 {{{{100}}}} 10 ~ not to be confused with a dog with the same name
(45) Beegolplex = {10, 10, {10, 10, 100, 4}, 4} = 10 {{{{10 {{{{100}}}} 10}}}}10
(46) Bigol = {10, 10, 100, 5} = 10 {{{{{100}}}}} 10
(47) Boggol = {10, 10, 100, 6} = 10 {{{{{{100}}}}}} 10 ~ boggles the mind doesn't it
(48) Bagol = {10, 10, 100, 7} = 10 {{{{{{{100}}}}}} 10 ~ what ever you do, don't eat this many bagels
(48) General / tetradecal = {10, 10, 10, 10} = 10 {{{{{{{{{{10}}}}}}}}}} 10
(49) Troogol = {10, 10, 10, 100}
(50) Generalplex = {10, 10, 10, {10, 10, 10, 10}}
(51) Troogolplex = {10, 10, 10, {10, 10, 10, 100}}
(52) Troogolduplex = {10, 10, 10, {10, 10, 10, {10, 10, 10, 100}}}
(53) Triggol = {10, 10, 10, 100, 2}
(54) Triggolplex = {10, 10, 10, {10, 10, 10, 100, 2}, 2}
(55) Triggolduplex = {10, 10, 10, {10, 10, 10, {10, 10, 10, 100, 2}, 2}, 2}
(56) Pentatri = {3, 3, 3, 3, 3}
(57) Traggol = {10, 10, 10, 100, 3}
(58) Traggolplex = {10, 10, 10, {10, 10, 10, 100, 3}, 3}
(59) Traggolduplex = {10, 10, 10, {10, 10, 10, {10, 10, 10, 100, 3}, 3}, 3}
(60) Treegol = {10, 10, 10, 100, 4}
(61) Superpent = {5, 5, 5, 5, 5}
(62) Trigol = {10, 10, 10, 100, 5}
(63) Troggol = {10, 10, 10, 100, 6}
(64) Tragol = {10, 10, 10, 100, 7}
(65) Pentadecal = {10, 10, 10, 10, 10}
(66) Quadroogol = {10, 10, 10, 10, 100}
(67) Pentadecalplex = {10, 10, 10, 10, {10, 10, 10, 10, 10}}
(68) Quadroogolplex = {10, 10, 10, 10, {10, 10, 10, 10, 100}}
(69) Quadriggol = {10, 10, 10, 10, 100, 2}
(70) Quadriggolplex = {10, 10, 10, 10, {10, 10, 10, 10, 100, 2}, 2}
(71) Hexatri = {3, 3, 3, 3, 3, 3}
(72) Quadraggol = {10, 10, 10, 10, 100, 3}
(73) Quadreegol = {10, 10, 10, 10, 100, 4}
(74) Quadrigol = {10, 10, 10, 10, 100, 5}
(75) Superhex = {6, 6, 6, 6, 6, 6}
(76) Quadroggol = {10, 10, 10, 10, 100, 6}
(77) Quadragol = {10, 10, 10, 10, 100, 7}
(78) Hexadecal = {10, 10, 10, 10, 10, 10}
(79) Quintoogol = {10, 10, 10, 10, 10, 100}
(80) Hexadecalplex = {10, 10, 10, 10, 10, {10, 10, 10, 10, 10, 10}}
(81) Quintoogolplex = {10, 10, 10, 10, 10, {10, 10, 10, 10, 10, 100}}
(82) Quintiggol = {10, 10, 10, 10, 10, 100, 2}
(83) Heptatri = {3, 3, 3, 3, 3, 3, 3}
(84) Quintaggol = {10, 10, 10, 10, 10, 100, 3}
(85) Quinteegol = {10, 10, 10, 10, 10, 100, 4}
(86) Quintigol = {10, 10, 10, 10, 10, 100, 5}
(87) Supersept = {7, 7, 7, 7, 7, 7, 7}
(88) Heptadecal = {10, 10, 10, 10, 10, 10, 10}
(89) Sextoogol = {10, 10, 10, 10, 10, 10, 100}
(90) Superoct = {8, 8, 8, 8, 8, 8, 8, 8}
(91) Octadecal = {10, 10, 10, 10, 10, 10, 10, 10}
(92) Septoogol = {10, 10, 10, 10, 10, 10, 10, 100}
(93) Superenn = {9, 9, 9, 9, 9, 9, 9, 9, 9}
(94) Ennadecal = {10, 10, 10, 10, 10, 10, 10, 10, 10}
(95) Octoogol = {10, 10, 10, 10, 10, 10, 10, 10, 100}
(96) Iteral / superdecal = {10, 10, 10, 10, 10, 10, 10, 10, 10, 10} = {10, 10 (1) 2}
(97) Wun = {1111!!,11!!!,11!,11!!!!,11!!!,11111!,1,1,1,11!,11} *Salad number
(98) Ultatri = {3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3} (27 3's) = {3, 27 (1) 2}
(99) Goobol = {10, 100 (1) 2} = {10, 10, 10, 10, 10, ..., 10, 10, 10, 10, 10} w/ 100 10's
(100) Dupertri = {3, 3, 2 (1) 2} = {3, {3, 3, 3} (1) 2} = {3, {3, 7625597484987, 2} (1) 2}
(101) Duperdecal / iteralplex = {10, 3, 2 (1) 2} = {10, {10, 10 (1) 2} (1) 2} = {10, {10, 10, 10, 10, 10, 10, 10, 10, 10, 10} (1) 2}
(102) Goobolplex = {10, {10, 100 (1) 2} (1) 2}
(103) Truperdecal = {10, 4, 2 (1) 2} = {10, {10, {10, 10 (1) 2} (1) 2} (1) 2}
(104) Quadruperdecal = {10, 5, 2 (1) 2} = {10, {10, {10, {10, 10 (1) 2} (1) 2} (1) 2} (1) 2}
(105) Gibbol = {10, 100, 2 (1) 2}
(106) Latri = {3, 3, 3 (1) 2} = {3, {3, 3, 2 (1) 2}, 2 (1) 2} = {3, {3, {3, 3, 3} (1) 2}, 2 (1) 2} = {3, {3, {3, 7625597484987, 2} (1) 2}, 2 (1) 2}
(107) Gabbol = {10, 100, 3 (1) 2}
(108) Geebol = {10, 100, 4 (1) 2}
(109) Gibol = {10, 100, 5 (1) 2}
(110) Gobbol = {10, 100, 6 (1) 2}
(111) Gabol = {10, 100, 7 (1) 2}
(112) Boobol = {10, 10, 100 (1) 2}
(113) Bibbol = {10, 10, 100, 2 (1) 2}
(114) Babbol = {10, 10, 100, 3 (1) 2}
(115) Beebol = {10, 10, 100, 4 (1) 2}
(116) Bibol = {10, 10, 100, 5 (1) 2}
(117) Bobbol = {10, 10, 100, 6 (1) 2}
(118) Babol = {10, 10, 100, 7 (1) 2}
(119) Troobol = {10, 10, 10, 100 (1) 2}
(120) Tribbol = {10, 10, 10, 100, 2 (1) 2}
(121) Trabbol = {10, 10, 10, 100, 3 (1) 2}
(122) Quadroobol = {10, 10, 10, 10, 100 (1) 2}
(123) Quadribbol = {10, 10, 10, 10, 100, 2 (1) 2}
(124) Quadrabbol = {10, 10, 10, 10, 100, 3 (1) 2}
(125) Quintoobol = {10, 10, 10, 10, 10, 100 (1) 2}
(126) Gootrol = {10, 100 (1) 3}
(127) Gitrol = {10, 100, 2 (1) 3}
(128) Gatrol = {10, 100, 3 (1) 3}
(129) Geetrol = {10, 100, 4 (1) 3}
(130) Gietrol = {10, 100, 5 (1) 3}
(131) Gotrol = {10, 100, 6 (1) 3}
(132) Gaitrol = {10, 100, 7 (1) 3}
(133) Bootrol = {10, 10, 100 (1) 3}
(134) Trootrol = {10, 10, 10, 100 (1) 3}
(135) Quadrootrol = {10, 10, 10, 10, 100 (1) 3}
(136) Gooquadrol = {10, 100 (1) 4}
(137) Booquadrol = {10, 10, 100 (1) 4}
(138) Quadreequadrol = {10, 10, 10, 10, 100, 4 (1) 4}
(139) Gooquintol = {10, 100 (1) 5}
(140) Emperal = {10, 10 (1) 10}
(141) Gossol = {10, 10 (1) 100}
(142) Emperalplex = {10, 10 (1) {10, 10 (1) 10}}
(143) Gossolplex = {10, 10 (1) {10, 10 (1) 100}}
(144) Gissol = {10, 10 (1) 100, 2}
(145) Gassol = {10, 10 (1) 100, 3}
(146) Geesol = {10, 10 (1) 100, 4}
(147) Geesolplex = {10, 10 (1) {10, 10 (1) 100, 4}, 4}
(148) Gussol = {10, 10 (1) 100, 5}
(149) Hyperal = {10, 10 (1) 10, 10}
(150) Mossol = {10, 10 (1) 10, 100}
(151) Hyperalplex = {10, 10 (1) 10, {10, 10 (1) 10, 10}}
(152) Mossolplex = {10, 10 (1) 10, {10, 10 (1) 10, 100}}
(153) Missol = {10, 10 (1) 10, 100, 2}
(154) Massol = {10, 10 (1) 10, 100, 3}
(155) Meesol = {10, 10 (1) 10, 100, 4}
(156) Mussol = {10, 10 (1) 10, 100, 5}
(157) Bossol = {10, 10 (1) 10, 10, 100}
(158) Bissol = {10, 10 (1) 10, 10, 100, 2}
(159) Bassol = {10, 10 (1) 10, 10, 100, 3}
(160) Beesol = {10, 10 (1) 10, 10, 100, 4}
(161) Bussol = {10, 10 (1) 10, 10, 100, 5}
(162) Trossol = {10, 10 (1) 10, 10, 10, 100}
(163) Trissol = {10, 10 (1) 10, 10, 10, 100, 2}
(164) Trassol = {10, 10 (1) 10, 10, 10, 100, 3}
(165) Treesol = {10, 10 (1) 10, 10, 10, 100, 4}
(166) Trussol = {10, 10 (1) 10, 10, 10, 100, 5}
(167) Quadrossol = {10, 10 (1) 10, 10, 10, 10, 100}
(168) Quintossol = {10, 10 (1) 10, 10, 10, 10, 10, 100}
(169) Diteral = {10, 10 (1)(1) 2} = {10, 10, 10, 10, 10, 10, 10, 10, 10, 10 (1) 10, 10, 10, 10, 10, 10, 10, 10, 10, 10}
(170) Dubol = {10, 100 (1)(1) 2}
(171) Diteralplex = {10, {10, 10 (1)(1) 2} (1)(1) 2}
(172) Dutrol = {10, 100 (1)(1) 3}
(173) Duquadrol = {10, 100 (1)(1) 4}
(174) Dossol = {10, 10 (1)(1) 100}
(175) Dossolplex = {10, 10 (1)(1) {10, 10 (1)(1) 100}}
(176) Dutritri = {3, 3 (2) 2} = {3, 3 (1)(1)(1) 2} = {3, 3, 3 (1) 3, 3, 3 (1) 3, 3, 3}
(177) Dutridecal = {10, 3 (2) 2} = {10, 3 (1)(1)(1) 2} = {10, 10, 10 (1) 10, 10, 10 (1) 10, 10, 10}
(178) Xappol = {10, 10 (2) 2}
(179) Xappolplex = {10, {10, 10 (2) 2} (2) 2}
(180) Grand xappol = {10, 10 (2) 3}
(181) Dimentri = {3, 3 (3) 2} = {3, 3 (2)(2)(2) 2} = {3, 3, 3 (1) 3, 3, 3 (1) 3, 3, 3 (2) 3, 3, 3 (1) 3, 3, 3 (1) 3, 3, 3 (2) 3, 3, 3 (1) 3, 3, 3 (1) 3, 3, 3}
(182) Colossol = {10, 10 (3) 2}
(183) Colossolplex = {10, {10, 10 (3) 2} (3) 2}
(184) Terossol = {10, 10 (4) 2}
(185) Terossolplex = {10, {10, 10 (4) 2} (4) 2}
(186) Petossol = {10, 10 (5) 2}
(187) Petossolplex = {10, {10, 10 (5) 2} (5) 2}
(188) Ectossol = {10, 10 (6) 2}
(189) Ectossolplex = {10, {10, 10 (6) 2} (6) 2}
(190) Zettossol = {10, 10 (7) 2}
(191) Zettossolplex = {10, {10, 10 (7) 2} (7) 2}
(192) Yottossol = {10, 10 (8) 2}
(193) Yottossolplex = {10, {10, 10 (8) 2} (8) 2}
(194) Xennossol = {10, 10 (9) 2}
(195) Xennossolplex = {10, {10, 10 (9) 2} (9) 2}
(196) Dimendecal = {10, 10 (10) 2}
(197) Gongulus = {10, 10 (100) 2}
(198) Gongulusplex = {10, 10 ({10, 10 (100) 2}) 2}
(199) Gongulusduplex = {10, 10 ({10, 10 ({10, 10 (100) 2}) 2}) 2}
(200) Gongulustriplex = {10, 10 ({10, 10 ({10, 10 ({10, 10 (100) 2}) 2}) 2}) 2}
(201) Gongulusquadraplex = {10, 10 ({10, 10 ({10, 10 ({10, 10 ({10, 10 (100) 2}) 2}) 2}) 2}) 2}
(202) Dulatri = {3, 3 (0, 2) 2} = {3, 3 (3, 1) 2}
(203) Gingulus = {10, 100 (0, 2) 2} = {10, 100 (100, 1) 2}
(204) Trilatri = {3, 3 (0, 0, 1) 2} = {3, 3 (0, 3) 2} = {3, 3 (3, 1) 2}
(205) Gangulus = {10, 100 (0, 3) 2} = {10, 100 (100, 2) 2}
(206) Geengulus = {10, 100 (0, 4) 2} = {10, 100 (100, 3) 2}
(207) Gowngulus = {10, 100 (0, 5) 2} = {10, 100 (100, 4) 2}
(208) Gungulus = {10, 100 (0, 6) 2} = {10, 100 (100, 5) 2}
(209) Bongulus = {10, 100 (0, 0, 1) 2} = {10, 100 (0, 100) 2}
(210) Bingulus = {10, 100 (0, 0, 2) 2} = {10, 100 (0, 100, 1) 2}
(211) Trimentri = 3^^3 & 3 = {3, 3 ((1) 1) 2} = {3, 3 (0, 0, 0, 1) 2} = {3, 3 (0, 0, 3) 2} = {3, 3 (0, 3, 2) 2} = {3, 3 (3, 2, 2) 2}
(212) Bangulus = {10, 100 (0, 0, 3) 2} = {10, 100 (0, 100, 2) 2}
(213) Beengulus = {10, 100 (0, 0, 4) 2} = {10, 100 (0, 100, 3) 2}
(214) Trongulus = {10, 100 (0, 0, 0, 1) 2} = {10, 100 (0, 0, 100) 2}
(215) Quadrongulus = {10, 100 (0, 0, 0, 0, 1) 2} = {10, 100 (0, 0, 0, 100) 2}
(216) Goplexulus = {10, 100 ((1) 1) 2} = {10, 100 (0, 0, 0, 0, 0, ..., 0, 0, 0, 0, 0, 1) 2} w/ 100 0's
(217) Goduplexulus = {10, 100 ((0, 1) 1) 2} = {10, 100 ((100) 1) 2}
(218) Gotriplexulus = {10, 100 (((1) 1) 1) 2} = {10, 100 ((0, 0, 0, 0, 0, ..., 0, 0, 0, 0, 0, 1) 1) 2} w/ 100 0's
(219) Goppatoth = 10^^100 & 10 in tetrational arrays = {10, 100 (((((...(((((0, 1) 1) 1) 1) 1) 1 ... 1) 1) 1) 1) 1) 2} w/ 50 pairs of parentheses
(220) Goppatothplex = 10^^goppatoth & 10 = 10^^(10^^100 & 10) & 10 in tetrational arrays
BEAF numbers beyond tetrational arrays are ill-defined.