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USEFUL CALCULATOR:
SEQUENCES ADDED TO ULNL:
Andre Joyce's googology
(10^2-1)/3 = 33
integral-megaseptile = (10^6-1)/7 = 142,857
(10^10-1)/11 = 909,090,909
(10^12-1)/13 = 76,923,076,923
integral-dekapetaseptemdecile = (10^16-1)/17 = 588,235,294,117,647
integral-exaundevigintile = (10^18-1)/19
integral-dekazettatrevigintile = (10^22-1)/23
integral-myriayottaundetrigintile = (10^28-1)/29
integral-dekazettayottaseptemquadragintile = (10^46-1)/47
googolplux added
googolpluc added
googolplum added
Alistair Cockburn Numbers
megafugagoogolplex ~E100#(googolplex+1)
megafugagoogol = googol^^googol
megafugagoogol-plexed = 10^googol^^googol
Bowerisms
giggol
tritri
giggolplex
giggolduplex
gaggol
gaggolplex
triakulus
kungulus
kungulusplex
quadrunculus
tridecatrix
humongulus
golapulus
Googological Numbers
Andre Joyce's great googol (1xE1000)
10^21*3^4^3^4 (upper bound for Ballium's Number)
googolplexidexiplex = 10^E100#2#2
googolplexidex^^2
E(1+10^100)#(10^10^100)
E(100+10^100)#(10^10^100)
E(101+10^100)#(10^10^100)
googolplexidexiduplex = 10^10^E100#2#2
googolduplexidex ~ googolnoniplexidex
Mersenne Primes
MP1 = M2 =3
MP2 = M3 =7
MP3 = M5 =31
MP4 = M7 =127
MP5 = M13 =8191
MP6 = M17 =131,071
MP7 = M19 = 524,287
MP8 = M31 = 2,147,483,647
MP9 = M61 = 2,305,843,009,213,693,951 (Pervushin's Number)
MP10 = M89
MP11 = M107
MP12 = M127
MP13 = M521 (Ralph Robinson 1952)
MP14 = M607 (Ralph Robinson 1952)
MP15 = M1279 (Ralph Robinson 1952)
MP16 = M2203 (Ralph Robinson 1952)
MP17 = M2281 (Ralph Robinson 1952)
MP18 = M3217 (Hans Riesel 1957)
MP19 = M4253 (Alexander Hurwitz 1961)
MP20 = M4423 (Alexander Hurwitz 1961)
MP21 = M9689 (Donald B. Gillies 1963)
MP22 = M9941 (Donald B. Gillies 1963)
MP23 = M11,213 (Donald B. Gillies 1963)
MP24 = M19,937 (Bryant Tuckerman 1971)
MP25 = M21,701 (Landon Curt Noll & Laura Nickel 1978)
MP26 = M23,209 (Landon Curt Noll 1979)
MP27 = M44,497 (Harry Lewis Nelson & David Slowinski 1979)
MP28 = M86,243 (David Slowinski 1982)
MP29
MP30
MP31
MP32
MP33
MP34
MP35
MP36
MP37
MP38
MP39
MP40
MP41
MP42
MP43
MP44
MP45
KMP46
KMP47
KMP48 = M57,885,161
KMP49 = M74,207,281
Misc. Numbers
Avogadro's Number (6.02214xE23)
2^2040-1 (TI-89 Exact Mode Limit)
10^1000-10^986 (TI-89 Approx. Mode Limit)
136*2^256 (Eddington Number)
Numerological Numbers
Number of books in Bible (66)
Odd-Abundants
(945)
Perfect Numbers
PN1 = 21*M2 = 2^3-2 = 6
PN2 = 22*M3 = 2^5-2^2 = 28
PN3 = 24*M5 = 2^9-2^4 = 496
PN4 = 26*M7 = 2^13-2^6 = 8128
PN5 = 212*M13 = 2^25-2^12 = 33,550,336
PN6 = 216*M17 = 2^33-2^16 = 8,589,869,056
PN7 = 218*M19 = 2^37-2^18 = 137,438,691,328
PN8
PN9
PN10
PN11
PN12
PN13
PN14
PN15
PN16
PN17
PN18
KPN19
KPN20
KPN21
KPN22
KPN23
KPN24
KPN25
KPN26
KPN27
KPN28
KPN29
KPN30
KPN31
KPN32
KPN33
KPN34
KPN35
KPN36
KPN37
KPN38
KPN39
KPN40
KPN41
KPN42
KPN43
KPN44
KPN45
KPN46
KPN47
KPN48
KPN49
Recording Holding non-mersenne primes
180(M127)^2+1
Tetrational Numbers
1^1^1 (1)
2^2^2 (16)
3^3^3 (Full Decimal expansion available)
4^4^4 (Full Decimal expansion available)
5^5^5 (Full Decimal expansion available)
6^6^6 (Full Decimal expansion available)
7^7^7 (37598...X)
8^8^8 (No Digits available)
9^9^9 (No Digits available)
10^10^10 (No Digits available)
11^11^11 (No Digits available)
12^12^12 (No Digits available)
100^100^100
1^1^1^1 (1)
2^2^2^2 (65,536)
3^3^3^3
4^4^4^4
5^5^5^5
6^6^6^6
7^7^7^7
8^8^8^8
9^9^9^9
10^10^10^10
1^1^1^1^1 (1)
2^2^2^2^2 (2^65,536)
10^^5 (pentalogue)
10^^6 (hexalogue)
10^^7 (heptalogue)
10^^8 (octalogue)
10^^9 (ennalogue)
10^^10 (dekalogue)
10^^11~10^^20
10^^30
10^^40
10^^50
10^^60
10^^70
10^^80
10^^90
10^^100
ExE Numbers
googolchime
googoltoll
googolgong
googolbong
googolthrong
googolgandingan
great googol
Extremely Large Numbers in Professional Literature
TREE(3)