The guppy regiment is a series of 504 numbers ranging from small numbers to tetrational growth rate defined using Hyper-E notation.[1] The numbers were coined by Sbiis Saibian.
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List of numbers in the regiment[]
Name of number | Hyper-E Notation (definition) | Standard notation/Numerical value | Fast-growing hierarchy | Hardy hierarchy | Slow-growing hierarchy |
---|---|---|---|---|---|
Googol-minutia-speck | E(-110) | 10-110 | f2(357)-1 | Hω2(357)-1 | \({g_{\omega^{\omega^2+\omega}}(10)}^{-1}\) |
Googol-minutia | E(-100) | 10-100 | f2(324)-1 | Hω2(324)-1 | \({g_{\omega^{\omega^2}}(10)}^{-1}\) |
Ogol-minutia | E(-80) | 10-80 | f2(258)-1 | Hω2(258)-1 | \({g_{\omega^{\omega\times8}}(10)}^{-1}\) |
Gogol-minutia | E(-50) | 10-50 | f2(159)-1 | Hω2(159)-1 | \({g_{\omega^{\omega\times5}}(10)}^{-1}\) |
Goby-minutia | E(-35) | 10-35 | f2(109)-1 | Hω2(109)-1 | \({g_{\omega^{\omega\times3+5}}(10)}^{-1}\) |
Minnow-minutia | E(-25) | 10-25 | f2(77)-1 | Hω2(77)-1 | \({g_{\omega^{\omega\times2+5}}(10)}^{-1}\) |
Guppy-minutia | E(-20) | 10-20 | f2(61)-1) | Hω2(61)-1 | \({g_{\omega^{\omega\times2}}(10)}^{-1}\) |
Eyelash mite-speck | 2E(-6) | 0.000002 | f2(15)-1 | Hω2(15)-1 | \({g_{\omega^5\times5}(10)}^{-1}\) |
Dust mite-speck | 5E(-6) | 0.000005 | f2(14)-1 | Hω2(14)-1 | \({g_{\omega^5\times2}(10)}^{-1}\) |
Cheese mite-speck | 8E(-6) | 0.000008 | f2(13)-1 | Hω2(13)-1 | \({g_{\omega^5}(10)}^{-1}\) |
Clover mite-speck | 2E(-5) | 0.00002 | f2(12)-1 | Hω2(12)-1 | \({g_{\omega^4\times5}(10)}^{-1}\) |
Eyelash mite-crumb | 2E(-1) | 0.2 | \(f_0(4)^{-1}\) | H1(4)-1 | \({g_{\omega}(4)^{-1}}\) |
Dust mite-crumb | 5E(-1) | 0.5 | \(f_0(1)^{-1}\) | Hω(1)-1 | \({g_{\omega}(1)^{-1}}\) |
Cheese mite-crumb | 8E(-1) | 0.8 | \(f_0(9)^{-0.09}\) | H0(10)-0.09 | \({g_{\omega}(10)^{-0.09}}\) |
Clover mite-crumb | 2E0 | 2 | \(f_0(1)\) | Hω(1) | \({g_{\omega}(2)}\) |
Monologue | E1#1 | 10 | \(f_1(5)\) | Hω(5) | \({g_{\omega}(10)}\) |
Binary-eyelash mite | 2×24 | 32 | \(f_1(16)\) | Hω(16) | \({g_{\omega}(32)}\) |
Binary-clover mite | 2×25 | 64 | \(f_1(32)\) | Hω(32) | \({g_{\omega}(64)}\) |
Binary-dust mite | 5×24 | 80 | \(f_1(40)\) | Hω(40) | \({g_{\omega}(80)}\) |
Binary-cheese mite, binary-pipsqueak | 8×24 = 27 | 128 | f2(5) | Hω2(5) | \(g_{\omega^2+\omega\times3}(10)\) |
Ternary-eyelash mite | 2×34 | 162 | f2(5) | Hω2(5) | \(g_{\omega^2+\omega\times6}(10)\) |
Ternary-dust mite | 5×34 | 405 | f2(6) | Hω2(6) | \(g_{\omega^2\times4}(10)\) |
Ternary-clover mite | 2×35 | 486 | f2(6) | Hω2(6) | \(g_{\omega^2\times5}(10)\) |
Ternary-cheese mite | 8×34 | 648 | f2(6) | Hω2(6) | \(g_{\omega^2\times6}(10)\) |
Binary-guppyspeck | 210 | 1,024 | f2(7) | Hω2(7) | \(g_{\omega^3}(10)\) |
Eyelash mite-chunk | 2E3 | 2,000 | f2(8) | Hω2(8) | \(g_{\omega^3\times2}(10)\) |
Ternary-pipsqueak | 37 | 2,187 | f2(8) | Hω2(8) | \(g_{\omega^3\times2}(10)\) |
Dust mite-chunk | 5E3 | 5,000 | f2(9) | Hω2(9) | \(g_{\omega^3\times5}(10)\) |
Binary-squeaker | 5×210 | 5,120 | f2(9) | Hω2(9) | \(g_{\omega^3\times5+\omega^2}(10)\) |
Cheese mite-chunk | 8E3 | 8,000 | f2(10) | Hω2(10) | \(g_{\omega^3\times8}(10)\) |
Octal-eyelash mite | 2×84 | 8,192 | f2(10) | Hω2(10) | \(g_{\omega^3\times8+\omega^2\times2}(10)\) |
Eyelash mite, Clover mite-chunk | 2E4 | 20,000 | f2(11) | Hω2(11) | \(g_{\omega^4\times2}(10)\) |
Octal-dust mite | 5×84 | 20,480 | f2(11) | Hω2(11) | \(g_{\omega^4\times2}(10)\) |
Octal-cheese mite, Binary-small fry, Binary-guppycrumb, Binary-minnowspeck | 8×84 = 215 | 32,768 | f2(11) | Hω2(11) | \(g_{\omega^4\times3}(10)\) |
Dust mite | 5E4 | 50,000 | f2(12) | Hω2(12) | \(g_{\omega^4\times5}(10)\) |
Ternary-guppyspeck | 310 | 59,049 | f2(12) | Hω2(12) | \(g_{\omega^4\times6}(10)\) |
Octal-clover mite | 2×85 | 65,536 | f2(12) | Hω2(12) | \(g_{\omega^4\times6+\omega^3\times6}(10)\) |
Cheese mite | 8E4 | 80,000 | f2(13) | Hω2(13) | \(g_{\omega^4\times8}(10)\) |
Clover mite, Eyelash mite-bunch | 2E5 | 200,000 | f2(14) | Hω2(14) | \(g_{\omega^5\times2}(10)\) |
Ternary-squeaker | 5×310 | 295,245 | f2(14) | Hω2(14) | \(g_{\omega^5\times3}(10)\) |
Dust mite-bunch | 5E5 | 500,000 | f2(15) | Hω2(15) | \(g_{\omega^5\times5}(10)\) |
Binary-guppychunk | 219 | 524,288 | f2(15) | Hω2(15) | \(g_{\omega^5\times5+\omega^4\times2}(10)\) |
Cheese mite-bunch | 8E5 | 800,000 | f2(16) | Hω2(16) | \(g_{\omega^5\times8}(10)\) |
Guppybit, Binary-minnowcrumb | 220 | 1,048,576 | f2(16) | Hω2(16) | \(g_{\omega^6}(10)\) |
Clover mite-bunch | 2E6 | 2,000,000 | f2(17) | Hω2(17) | \(g_{\omega^6\times2}(10)\) |
Octal-pipsqueak | 87 = 221 | 2,097,152 | f2(17) | Hω2(17) | \(g_{\omega^6\times2+\omega^5}(10)\) |
Pipsqueak | E7 | 10,000,000 | f2(19) | Hω2(19) | \(g_{\omega^7}(10)\) |
Ternary-small fry, Ternary-guppycrumb, Ternary-minnowspeck | 315 | 14,348,907 | f2(19) | Hω2(19) | \(g_{\omega^7+\omega^6\times4}(10)\) |
Binary-minnowchunk | 224 | 16,777,216 | f2(20) | Hω2(20) | \(g_{\omega^7+\omega^6\times7}(10)\) |
Minnowbit, Binary-gobyspeck | 225 | 33,554,432 | f2(21) | Hω2(21) | \(g_{\omega^7\times3+\omega^6\times3}(10)\) |
Binary-gobycrumb, Octal-guppyspeck | 230 = 810 | 1,073,741,824 | f2(25) | Hω2(25) | \(g_{\omega^9}(10)\) |
Ternary-guppychunk | 319 | 1,162,261,467 | f2(25) | Hω2(25) | \(g_{\omega^9+\omega^8}(10)\) |
Eyelash mite-crowd | 2E9 | 2,000,000,000 | f2(26) | Hω2(26) | \(g_{\omega^9\times2}(10)\) |
Ternary-guppy, Ternary-minnowcrumb | 320 | 3,486,784,401 | f2(27) | Hω2(27) | \(g_{\omega^9\times3}(10)\) |
Dust mite-crowd | 5E9 | 5,000,000,000 | f2(27) | Hω2(27) | \(g_{\omega^9\times5}(10)\) |
Octal-squeaker | 5×810 | 5,368,709,120 | f2(27) | Hω2(27) | \(g_{\omega^9\times5+\omega^8\times4}(10)\) |
Cheese mite-crowd | 8E9 | 8,000,000,000 | f2(28) | Hω2(28) | \(g_{\omega^9\times8}(10)\) |
Dialogue, Guppyspeck | 1010 | 10,000,000,000 | f2(28) | Hω2(28) | \(g_{\omega^\omega}(10)\) |
Binary-gobychunk | 234 | 17,179,869,184 | f2(29) | Hω2(29) | \(g_{\omega^\omega+\omega^9\times7}(10)\) |
Clover mite-crowd | 2E10 | 20,000,000,000 | f2(29) | Hω2(29) | \(g_{\omega^\omega\times2}(10)\) |
Gobybit | 235 | 34,359,738,368 | f2(30) | Hω2(30) | \(g_{\omega^\omega\times3}(10)\) |
Little squeaker | 5E10 | 50,000,000,000 | f2(31) | Hω2(31) | \(g_{\omega^\omega\times5}(10)\) |
Ternary-minnowchunk | 324 | 282,429,536,481 | f2(33) | Hω2(33) | \(g_{\omega^{\omega+1}\times3}(10)\) |
Ternary-minnow, Ternary-gobyspeck | 325 | 847,288,609,443 | f2(34) | Hω2(34) | \(g_{\omega^{\omega+1}\times8}(10)\) |
Binary-gogolspeck, Quaternary-guppy | 240 | 1,099,511,627,776 | f2(35) | Hω2(35) | \(g_{\omega^{\omega+2}+\omega^{\omega+1}}(10)\) |
Octal-small fry, Octal-guppycrumb, Octal-minnowspeck, Binary-gogolcrumb | 815 = 245 | 35,184,372,088,832 | f2(40) | Hω2(40) | \(g_{\omega^{\omega+3}\times4}(10)\) |
Quinary-guppy | 520 | 95,367,431,640,625 | f2(41) | Hω2(41) | \(g_{\omega^{\omega+4}}(10)\) |
Eyelash mite-swarm | 2E14 | 200,000,000,000,000 | f2(42) | Hω2(42) | \(g_{\omega^{\omega+4}\times2}(10)\) |
Ternary-gobycrumb | 330 | 205,891,132,094,649 | f2(42) | Hω2(42) | \(g_{\omega^{\omega+4}\times2+\omega^{\omega+2}\times6}(10)\) |
Dust mite-swarm | 5E14 | 500,000,000,000,000 | f2(43) | Hω2(43) | \(g_{\omega^{\omega+4}\times5}(10)\) |
Binary-gogolchunk | 249 | 562,949,953,421,312 | f2(44) | Hω2(44) | \(g_{\omega^{\omega+4}\times6}(10)\) |
Cheese mite-swarm | 8E14 | 800,000,000,000,000 | f2(44) | Hω2(44) | \(g_{\omega^{\omega+4}\times8}(10)\) |
Small fry, Guppycrumb, Minnowspeck | E15 | 1,000,000,000,000,000 | f2(44) | Hω2(44) | \(g_{\omega^{\omega+5}}(10)\) |
Gogolbit | 250 | 1,125,899,906,842,624 | f2(45) | Hω2(45) | \(g_{\omega^{\omega+5}+\omega^{\omega+4}}(10)\) |
Clover mite-swarm | 2E15 | 2,000,000,000,000,000 | f2(45) | Hω2(45) | \(g_{\omega^{\omega+5}\times2}(10)\) |
Ternary-gobychunk | 334 | 16,677,181,699,666,569 | f2(48) | Hω2(48) | \(g_{\omega^{\omega+6}\times2}(10)\) |
Ternary-goby | 335 | 50,031,545,098,999,707 | f2(50) | Hω2(50) | \(g_{\omega^{\omega+6}\times5}(10)\) |
Octal-guppychunk | 819 = 257 | 144,115,188,075,855,872 | f2(51) | Hω2(51) | \(g_{\omega^{\omega+7}}(10)\) |
Guppybyte, Octal-minnowcrumb | 820 = 260 | 1,152,921,504,606,846,976 | f2(55) | Hω2(55) | \(g_{\omega^{\omega+8}}(10)\) |
Guppychunk | 1019 | 10,000,000,000,000,000,000 | f2(57) | Hω2(57) | \(g_{\omega^{\omega+9}}(10)\) |
Ternary-gogolspeck | 340 | 12,157,665,459,056,928,801 | f2(57) | Hω2(57) | \(g_{\omega^{\omega+9}+\omega^{\omega+8}\times2}(10)\) |
Binary-prawn | 265 | 36,893,488,147,419,103,232 | f2(59) | Hω2(59) | \(g_{\omega^{\omega+9}\times4}(10)\) |
Guppy, Minnowcrumb | E20 | 1020 | f2(60) | Hω2(60) | \(g_{\omega^{\omega\times2}}(10)\) |
Binary-ogolspeck | 270 | ~1.180592*1021 | f2(64) | Hω2(64) | \(g_{\omega^{\omega\times2+1}}(10)\) |
Ternary-gogolcrumb | 345 | ~2.954312*1021 | f2(65) | Hω2(65) | \(g_{\omega^{\omega\times2+1}\times3}(10)\) |
Duodecimal-guppy | 1220 | ~3.833760*1021 | f2(66) | Hω2(66) | \(g_{\omega^{\omega\times2+1}\times4}(10)\) |
Octal-minnowchunk | 824 = 272 | ~4.722366*1021 | f2(66) | Hω2(66) | \(g_{\omega^{\omega\times2+1}\times5}(10)\) |
Ternary-gogolchunk | 349 | ~2.392293*1023 | f2(71) | Hω2(71) | \(g_{\omega^{\omega\times2+3}\times2}(10)\) |
Minnowbyte, Binary-lightweight, Octal-gobyspeck, Binary-ogolcrumb | 825 = 275 | ~3.777893*1023 | f2(72) | Hω2(72) | \(g_{\omega^{\omega\times2+3}\times3}(10)\) |
Binary-ogolchunk | 279 | ~6.044629*1023 | f2(73) | Hω2(73) | \(g_{\omega^{\omega\times2+3}\times6}(10)\) |
Ternary-gogol | 350 | ~7.178980*1023 | f2(73) | Hω2(73) | \(g_{\omega^{\omega\times2+3}\times7}(10)\) |
Minnowchunk | 1024 | 1024 | f2(73) | Hω2(73) | \(g_{\omega^{\omega\times2+4}}(10)\) |
Ogolbit, Hexadecimal-guppy | 280 = 1620 | ~1.208926*1024 | f2(74) | Hω2(74) | \(g_{\omega^{\omega\times2+4}}(10)\) |
Minnow, Gobyspeck | E25 | 1025 | f2(77) | Hω2(77) | \(g_{\omega^{\omega\times2+5}}(10)\) |
Binary-twerpuloid | 285 | ~3.868562*1025 | f2(79) | Hω2(79) | \(g_{\omega^{\omega\times2+5}\times4}(10)\) |
Vigesimal-guppy | 2020 | 1.048576*1026 | f2(80) | Hω2(80) | \(g_{\omega^{\omega\times2+6}}(10)\) |
Binary-googolspeck, Octal-gobycrumb | 290 = 830 | ~1.237940*1027 | f2(84) | Hω2(84) | \(g_{\omega^{\omega\times2+7}}(10)\) |
Binary-googolcrumb | 295 | ~3.961408*1028 | f2(88) | Hω2(88) | \(g_{\omega^{\omega\times2+7}}(10)\) |
Binary-googolchunk | 299 | ~6.338253*1029 | f2(92) | Hω2(92) | \(g_{\omega^{\omega\times2+9}\times6}(10)\) |
Gobycrumb | 1030 | 1030 | f2(93) | Hω2(93) | \(g_{\omega^{\omega\times3}}(10)\) |
Googolbit, Quaternary-gogol, Binary-guppyding | 2100 | ~1.267651*1030 | f2(93) | Hω2(93) | \(g_{\omega^{\omega\times3}}(10)\) |
Octal-gobychunk | 834 = 2102 | ~5.070602*1030 | f2(95) | Hω2(95) | \(g_{\omega^{\omega\times3}\times5}(10)\) |
Ternary-prawn | 365 | ~1.030105*1031 | f2(96) | Hω2(96) | \(g_{\omega^{\omega\times3+1}}(10)\) |
Gobybyte | 835 = 2105 | ~4.056482*1031 | f2(98) | Hω2(98) | \(g_{\omega^{\omega\times3+1}\times4}(10)\) |
Ternary-ogolspeck | 370 | ~2.503156*1033 | f2(104) | Hω2(104) | \(g_{\omega^{\omega\times3+3}\times3}(10)\) |
Gobychunk | 1034 | 1034 | f2(107) | Hω2(107) | \(g_{\omega^{\omega\times3+4}}(10)\) |
Quinary-gogol | 550 | ~8.881784*1034 | f2(109) | Hω2(109) | \(g_{\omega^{\omega\times3+9}}(10)\) |
Goby | E35 | 1035 | f2(109) | Hω2(109) | \(g_{\omega^{\omega\times3+5}}(10)\) |
Sexagesimal-guppy | 6020 | ~3.656158*1035 | f2(111) | Hω2(111) | \(g_{\omega^{\omega\times3+5}\times4}(10)\) |
Ternary-lightweight, Ternary-ogolcrumb | 375 | ~6.082668*1035 | f2(112) | Hω2(112) | \(g_{\omega^{\omega\times3+5}\times6}(10)\) |
Octal-gogolspeck | 840 = 2120 | ~1.329228*1036 | f2(113) | Hω2(113) | \(g_{\omega^{\omega\times3+6}}(10)\) |
Ternary-ogolchunk | 379 | ~4.926961*1037 | f2(118) | Hω2(118) | \(g_{\omega^{\omega\times3+7}\times5}(10)\) |
Ternary-ogol | 380 | ~1.478088*1038 | f2(120) | Hω2(120) | \(g_{\omega^{\omega\times3+8}}(10)\) |
Gogolspeck | 1040 | 1040 | f2(126) | Hω2(126) | \(g_{\omega^{\omega\times4}}(10)\) |
Ternary-twerpuloid | 385 | ~3.591756*1040 | f2(128) | Hω2(128) | \(g_{\omega^{\omega\times4}\times4}(10)\) |
Octal-gogolcrumb | 845 = 2135 | ~4.355614*1040 | f2(128) | Hω2(128) | \(g_{\omega^{\omega\times4}\times4}(10)\) |
Ternary-googolspeck | 390 | ~8.727964*1042 | f2(135) | Hω2(135) | \(g_{\omega^{\omega\times4+1}\times9}(10)\) |
Octal-gogolchunk | 849 = 2147 | ~1.784060*1044 | f2(140) | Hω2(140) | \(g_{\omega^{\omega\times4+4}\times2}(10)\) |
Gogolcrumb | 1045 | 1045 | f2(142) | Hω2(142) | \(g_{\omega^{\omega\times4+5}}(10)\) |
Gogolbyte | 850 = 2150 | ~1.427248*1045 | f2(143) | Hω2(143) | \(g_{\omega^{\omega\times4+5}}(10)\) |
Ternary-googolcrumb | 395 | ~2.120895*1045 | f2(143) | Hω2(143) | \(g_{\omega^{\omega\times4+5}\times2}(10)\) |
Ternary-googolchunk | 399 | ~1.717925*1047 | f2(150) | Hω2(150) | \(g_{\omega^{\omega\times4+7}\times2}(10)\) |
Ternary-googol | 3100 | ~5.153775*1047 | f2(151) | Hω2(151) | \(g_{\omega^{\omega\times4+7}\times5}(10)\) |
Quaternary-ogol | 480 = 2160 | ~1.461502*1048 | f2(153) | Hω2(153) | \(g_{\omega^{\omega\times4+7}\times2}(10)\) |
Gogolchunk | 1049 | 1049 | f2(155) | Hω2(155) | \(g_{\omega^{\omega\times4+9}}(10)\) |
Gogol | E50 | 1050 | f2(159) | Hω2(159) | \(g_{\omega^{\omega\times5}}(10)\) |
Duodecimal-gogol | 1250 | ~9.100438*1053 | f2(172) | Hω2(172) | \(g_{\omega^{\omega\times5+3}\times9}(10)\) |
Quinary-ogol | 580 | ~8.271806*1055 | f2(178) | Hω2(178) | \(g_{\omega^{\omega\times5+5}\times8}(10)\) |
Octal-prawn | 865 = 2195 | ~5.021681*1058 | f2(187) | Hω2(187) | \(g_{\omega^{\omega\times5+8}\times5}(8)\) |
Quaternary-googol, Hexadecimal-gogol, Binary-guppychime | 4100 = 1650 = 2200 | ~1.606938*1060 | f2(192) | Hω2(192) | \(g_{\omega^{\omega\times6}\times2}(8)\) |
Octal-ogolspeck | 870 = 2210 | ~1.645505*1063 | f2(202) | Hω2(202) | \(g_{\omega^{\omega\times6+3}\times2}(10)\) |
Jumbo shrimp | E65 | 1065 | f2(208) | Hω2(208) | \(g_{\omega^{\omega\times6+5}}(10)\) |
Vigesimal-gogol | 2050 | ~1.125900*1065 | f2(208) | Hω2(208) | \(g_{\omega^{\omega\times6+5}}(10)\) |
Octal-lightweight, Octal-ogolcrumb | 875 = 2225 | ~5.391989*1067 | f2(217) | Hω2(217) | \(g_{\omega^{\omega\times6+7}\times5}(10)\) |
Quinary-googol | 5100 | ~7.888609*1069 | f2(224) | Hω2(224) | \(g_{\omega^{\omega\times6+9}\times8}(10)\) |
Ogolspeck | 1070 | 1070 | f2(225) | Hω2(225) | \(g_{\omega^{\omega\times7}}(10)\) |
Octal-ogolchunk | 879 = 2237 | ~2.208559*1071 | f2(229) | Hω2(229) | \(g_{\omega^{\omega\times7+1}\times2}(10)\) |
Ogolbyte | 880 = 2240 | ~1.766847*1072 | f2(232) | Hω2(232) | \(g_{\omega^{\omega\times7+2}\times2}(10)\) |
Lightweight, Ogolcrumb | E75 | 1075 | f2(241) | Hω2(241) | \(g_{\omega^{\omega\times7+5}}(10)\) |
Binary-gogolding | 2250 | ~1.809251*1075 | f2(242) | Hω2(242) | \(g_{\omega^{\omega\times7+5}\times2}(10)\) |
Octal-twerpuloid | 885 = 2255 | ~5.789604*1076 | f2(247) | Hω2(247) | \(g_{\omega^{\omega\times7+6}\times6}(10)\) |
Ogolchunk | 1079 | 1079 | f2(254) | Hω2(254) | \(g_{\omega^{\omega\times7+9}}(10)\) |
Ogol | E80 | 1080 | f2(258) | Hω2(258) | \(g_{\omega^{\omega\times8}}(10)\) |
Octal-googolspeck | 890 = 2270 | ~1.897137*1081 | f2(262) | Hω2(262) | \(g_{\omega^{\omega\times8+1}\times2}(10)\) |
Tiny twerpuloid | E85 | 1085 | f2(274) | Hω2(274) | \(g_{\omega^{\omega\times8+5}}(10)\) |
Octal-googolcrumb | 895 = 2285 | ~6.216540*1085 | f2(277) | Hω2(277) | \(g_{\omega^{\omega\times8+5}\times6}(10)\) |
Duodecimal-ogol | 1280 | ~2.160228*1086 | f2(279) | Hω2(279) | \(g_{\omega^{\omega\times8+6}\times2}(10)\) |
Sexagesimal-gogol | 6050 | ~8.082813*1088 | f2(287) | Hω2(287) | \(g_{\omega^{\omega\times8+8}\times8}(10)\) |
Octal-googolchunk | 899 = 2297 | ~2.546295*1089 | f2(289) | Hω2(289) | \(g_{\omega^{\omega\times8+9}\times3}(10)\) |
Googolspeck | E90 | 1090 | f2(291) | Hω2(291) | \(g_{\omega^{\omega\times9}}(10)\) |
Googolbyte, Octal-guppyding | 8100 = 2300 | ~2.037036*1090 | f2(292) | Hω2(292) | \(g_{\omega^{\omega\times8+9}\times2}(10)\) |
Googolcrumb | E95 | 1095 | f2(307) | Hω2(307) | \(g_{\omega^{\omega\times9+5}}(10)\) |
Hexadecimal-ogol | 1680 = 2320 | ~2.135987*1096 | f2(312) | Hω2(312) | \(g_{\omega^{\omega\times9+6}\times2}(10)\) |
Googolchunk | E99 | 1099 | f2(320) | Hω2(320) | \(g_{\omega^{\omega\times9+9}}(10)\) |
Guppyding (Googol) | E100 | 10100 | f2(324) | Hω2(324) | \(g_{\omega^{\omega^2}}(10)\) |
Googolbunch | E101 | 10101 | f2(327) | Hω2(327) | \(g_{\omega^{\omega^2+1}}(10)\) |
Vigesimal-ogol | 2080 | ~1.208926*10104 | f2(337) | Hω2(337) | \(g_{\omega^{\omega^2+4}}(10)\) |
Googolcrowd | E105 | 10105 | f2(340) | Hω2(340) | \(g_{\omega^{\omega^2+5}}(10)\) |
Duodecimal-googol | 12100 | ~8.281797*10107 | f2(350) | Hω2(350) | \(g_{\omega^{\omega^2+7}\times8}(10)\) |
Googolswarm | E110 | 10110 | f2(357) | Hω2(357) | \(g_{\omega^{\omega^2+\omega}}(10)\) |
Hexadecimal-googol | 16100 | ~2.582250*10120 | f2(391) | Hω2(391) | \(g_{\omega^{\omega^2+\omega\times2}\times3}(10)\) |
Vigesimal-googol | 20100 | ~1.267651*10130 | f2(423) | Hω2(423) | \(g_{\omega^{\omega^2+\omega\times3}}(10)\) |
Sexagesimal-ogol | 6080 | ~1.786899*10142 | f2(464) | Hω2(464) | \(g_{\omega^{\omega^2+\omega\times4+2}\times2}(10)\) |
Binary-googolding, Binary-gogolchime | 2500 | ~3.273391*10150 | f2(491) | Hω2(491) | \(g_{\omega^{\omega^2+\omega\times5}\times3}(10)\) |
Sexagesimal-googol | 60100 | ~6.533186*10177 | f2(581) | Hω2(581) | \(g_{\omega^{\omega^2+\omega\times7+7}\times6}(10)\) |
Octal-guppychime | 8200 = 2600 | ~4.149516*10180 | f2(591) | Hω2(591) | \(g_{\omega^{\omega^2+\omega\times8}\times4}(10)\) |
Guppychime | E200 | 10200 | f2(655) | Hω2(655) | \(g_{\omega^{\omega^2\times2}}(10)\) |
Octal-gogolding | 8250 = 2750 | ~5.922387*10225 | f2(740) | Hω2(740) | \(g_{\omega^{\omega^2\times2+\omega\times2+5}\times6}(10)\) |
Gogolding | E250 | 10250 | f2(821) | Hω2(821) | \(g_{\omega^{\omega^2\times2+\omega\times5}}(10)\) |
Ecetonspeck | E293 | 10293 | f2(963) | Hω2(963) | \(g_{\omega^{\omega^2\times2+\omega\times9+3}}(10)\) |
Ecetoncrumb | E298 | 10298 | f2(980) | Hω2(980) | \(g_{\omega^{\omega^2\times2+\omega\times9+8}}(10)\) |
Binary-googolchime | 21,000 | ~1.071509*10301 | f2(990) | Hω2(990) | \(g_{\omega^{\omega^2\times3+1}}(10)\) |
Ecetonchunk | E302 | 10302 | f2(993) | Hω2(993) | \(g_{\omega^{\omega^2\times3+2}}(10)\) |
Ecetonbunch | E304 | 10304 | f2(1,000) | Hω2(1000) | \(g_{\omega^{\omega^2\times3+4}}(10)\) |
Ecetoncrowd | E308 | 10308 | f2(1,013) | Hω2(1013) | \(g_{\omega^{\omega^2\times3+8}}(10)\) |
Ecetonswarm | E313 | 10313 | f2(1,030) | Hω2(1030) | \(g_{\omega^{\omega^2\times3+\omega+3}}(10)\) |
Ogolding | E400 | 10400 | f2(1,318) | Hω2(1318) | \(g_{\omega^{\omega^2\times4}}(10)\) |
Octal-googolding, Octal-gogolchime | 8500 = 21,500 | ~3.507466*10451 | f2(1,489) | Hω2(1489) | \(g_{\omega^{\omega^2\times4+\omega\times5+1}\times4}(10)\) |
Gogolchime, Googolding | E500 | 10500 | f2(1,650) | Hω2(1650) | \(g_{\omega^{\omega^2\times5}}(10)\) |
Ogolchime | E800 | 10800 | f22(8) | Hω2*2(8) | \(g_{\omega^{\omega^2\times8}}(10)\) |
Octal-googolchime | 81,000 = 23,000 | ~1.230232*10903 | f22(8) | Hω2*2(8) | \(g_{\omega^{\omega^2\times9+\omega\times6+3}}(10)\) |
Googolchime, Guppybell | E1,000 | 101,000 | f22(8) | Hω2*2(8) | \(g_{\omega^{\omega^3}}(10)\) |
Ecetonding | E1,515 | 101,515 | f22(9) | Hω2*2(9) | \(g_{\omega^{\omega^3+\omega^2\times5+\omega+5}}(10)\) |
Guppytoll | E2,000 | 102,000 | f22(9) | Hω2*2(9) | \(g_{\omega^{\omega^3\times2}}(10)\) |
Gogolbell | E2,500 | 102,500 | f22(9) | Hω2*2(9) | \(g_{\omega^{\omega^3\times2+\omega^2\times5}}(10)\) |
Ecetonchime | E3,030 | 103,030 | f22(9) | Hω2*2(9) | \(g_{\omega^{\omega^3\times3+\omega\times3}}(10)\) |
Ogolbell | E4,000 | 104,000 | f22(10) | Hω2*2(10) | \(g_{\omega^{\omega^3\times4}}(19)\) |
Googolbell, Gogoltoll | E5,000 | 105,000 | f22(10) | Hω2*2(10) | \(g_{\omega^{\omega^3\times5}}(10)\) |
Ogoltoll | E8,000 | 108,000 | f22(11) | Hω2*2(11) | \(g_{\omega^{\omega^3\times8}}(10)\) |
Googoltoll | E10,000 | 1010,000 | f22(11) | Hω2*2(11) | \(g_{\omega^{\omega^4}}(10)\) |
Ecetonbell | E15,150 | 1015,150 | f22(12) | Hω2*2(12) | \(g_{\omega^{\omega^4+\omega^3\times5+\omega^2+\omega+5}}(10)\) |
Guppygong | E20,000 | 1020,000 | f22(12) | Hω2*2(12) | \(g_{\omega^{\omega^4\times2}}(10)\) |
Ecetontoll | E30,300 | 1030,300 | f22(12) | Hω2*2(12) | \(g_{\omega^{\omega^4\times3+\omega^2\times3}}(10)\) |
Gogolgong | E50,000 | 1050,000 | f22(13) | Hω2*2(13) | \(g_{\omega^{\omega^4\times5}}(10)\) |
Ogolgong | E80,000 | 1080,000 | f22(14) | Hω2*2(14) | \(g_{\omega^{\omega^4\times8}}(10)\) |
Googolgong | E100,000 | 10100,000 | f22(14) | Hω2*2(14) | \(g_{\omega^{\omega^5}}(10)\) |
Ecetongong | E303,000 | 10303,000 | f22(15) | Hω2*2(15) | \(g_{\omega^{\omega^5\times3+\omega^3\times3}}(10)\) |
Milliplexion | E6#2 | 10106 | f22(17) | Hω2*2(17) | \(g_{\omega^{\omega^6}}(10)\) |
Guppybong | E20,000,000 | 102*107 | f22(21) | Hω2*2(21) | \(g_{\omega^{\omega^7\times2}}(10)\) |
Gogolbong | E50,000,000 | 105*107 | f22(22) | Hω2*2(22) | \(g_{\omega^{\omega^7\times5}}(10)\) |
Ogolbong | E80,000,000 | 108*107 | f22(23) | Hω2*2(23) | \(g_{\omega^{\omega^7\times8}}(10)\) |
Googolbong | E100,000,000 | 10108 | f22(23) | Hω2*2(23) | \(g_{\omega^{\omega^8}}(10)\) |
Ecetonbong | E303,000,000 | 103.03*108 | f22(25) | Hω2*2(25) | \(g_{\omega^{\omega^8\times3+\omega^6\times3}}(10)\) |
Billiplexion | E9#2 | 10109 | f22(26) | Hω2*2(26) | \(g_{\omega^{\omega^9}}(10)\) |
Trialogue | E1#3 | 101010 | f22(30) | Hω2*2(30) | \(g_{\omega^{\omega^\omega}}(10)\) |
Guppythrong | E20,000,000,000 | 102*1010 | f22(30) | Hω2*2(30) | \(g_{\omega^{\omega^\omega\times2}}(10)\) |
Gogolthrong | E50,000,000,000 | 105*1010 | f22(32) | Hω2*2(32) | \(g_{\omega^{\omega^\omega\times5}}(10)\) |
Ogolthrong | E80,000,000,000 | 108*1010 | f22(32) | Hω2*2(32) | \(g_{\omega^{\omega^\omega\times8}}(10)\) |
Googolthrong | E100,000,000,000 | 101011 | f22(33) | Hω2*2(33) | \(g_{\omega^{\omega^{\omega+1}}}(10)\) |
Ecetonthrong | E303,000,000,000 | 103.03*1011 | f22(34) | Hω2*2(34) | \(g_{\omega^{\omega^{\omega+1}\times3+\omega^9\times3}}(10)\) |
Trilliplexion | E12#2 | 101012 | f22(36) | Hω2*2(36) | \(g_{\omega^{\omega^{\omega+2}}}(10)\) |
Guppygandingan | E20,000,000,000,000 | 102*1013 | f22(40) | Hω2*2(40) | \(g_{\omega^{\omega^{\omega+3}\times2}}(10)\) |
Gogolgandingan | E50,000,000,000,000 | 105*1013 | f22(41) | Hω2*2(41) | \(g_{\omega^{\omega^{\omega+3}\times5}}(10)\) |
Ogolgandingan | E80,000,000,000,000 | 108*1013 | f22(42) | Hω2*2(42) | \(g_{\omega^{\omega^{\omega+3}\times8}}(10)\) |
Googolgandingan,Googolquadrigong | E100,000,000,000,000 | 101014 | f22(42) | Hω2*2(42) | \(g_{\omega^{\omega^{\omega+4}}}(10)\) |
Ecetongandingan | E303,000,000,000,000 | 103.03*1014 | f22(44) | Hω2*2(44) | \(g_{\omega^{\omega^{\omega+4}\times3+\omega^{\omega+2}\times3}}(10)\) |
Googolquintigong | EE17 | 101017 | f22(52) | Hω2*2(52) | \(g_{\omega^{\omega^{\omega+7}}}(10)\) |
Guppyplex, Googolsextigong | EE20 | 101020 | f22(62) | Hω2*2(62) | \(g_{\omega^{\omega^{\omega\times2}}}(10)\) |
Googolseptigong | EE23 | 101023 | f22(71) | Hω2*2(71) | \(g_{\omega^{\omega^{\omega\times2+3}}}(10)\) |
Googoloctigong | EE26 | 101026 | f22(81) | Hω2*2(81) | \(g_{\omega^{\omega^{\omega\times2+6}}}(10)\) |
Googolnonigong | EE29 | 101029 | f22(91) | Hω2*2(91) | \(g_{\omega^{\omega^{\omega\times2+9}}}(10)\) |
Googolplexibit | E(2)100#2 | ≈ 103.816009*1029 | f22(93) | Hω2*2(93) | |
Googoldecigong | EE32 | 101032 | f22(101) | Hω2*2(101) | \(g_{\omega^{\omega^{\omega\times3+2}}}(10)\) |
Googol-undecigong | EE35 | 101035 | f22(111) | Hω2*2(111) | \(g_{\omega^{\omega^{\omega\times3+5}}}(10)\) |
Googol-duodecigong | EE38 | 101038 | f22(121) | Hω2*2(121) | \(g_{\omega^{\omega^{\omega\times3+8}}}(10)\) |
Googol-tredecigong | EE41 | 101041 | f22(130) | Hω2*2(130) | \(g_{\omega^{\omega^{\omega\times4+1}}}(10)\) |
Googol-quattuordecigong | EE44 | 101044 | f22(140) | Hω2*2(140) | \(g_{\omega^{\omega^{\omega\times4+4}}}(10)\) |
Googol-quindecigong | EE47 | 101047 | f22(150) | Hω2*2(150) | \(g_{\omega^{\omega^{\omega\times4+7}}}(10)\) |
Gogolplex, Googol-sexdecigong | EE50 | 101050 | f22(160) | Hω2*2(160) | \(g_{\omega^{\omega^{\omega\times5}}}(10)\) |
Googol-septendecigong | EE53 | 101053 | f22(170) | Hω2*2(170) | \(g_{\omega^{\omega^{\omega\times5+3}}}(10)\) |
Googol-octodecigong | EE56 | 101056 | f22(180) | Hω2*2(180) | \(g_{\omega^{\omega^{\omega\times5+6}}}(10)\) |
Googol-novemdecigong | EE59 | 101059 | f22(190) | Hω2*2(190) | \(g_{\omega^{\omega^{\omega\times5+9}}}(10)\) |
Googolvigintigong | EE62 | 101062 | f22(200) | Hω2*2(200) | \(g_{\omega^{\omega^{\omega\times6+2}}}(10)\) |
Googoltrigintigong | EE92 | 101092 | f22(300) | Hω2*2(300) | \(g_{\omega^{\omega^{\omega\times9+2}}}(10)\) |
Googolquadragintigong | EE122 | 1010122 | f22(399) | Hω2*2(399) | \(g_{\omega^{\omega^{\omega^2+\omega\times2+2}}}(10)\) |
Googolquinquagintigong | EE152 | 1010152 | f22(497) | Hω2*2(497) | \(g_{\omega^{\omega^{\omega^2+\omega\times5+2}}}(10)\) |
Googolsexagintigong | EE182 | 1010182 | f22(597) | Hω2*2(597) | \(g_{\omega^{\omega^{\omega^2+\omega\times8+2}}}(10)\) |
Googolseptuagintigong | EE212 | 1010212 | f22(696) | Hω2*2(696) | \(g_{\omega^{\omega^{\omega^2\times2+\omega+2}}}(10)\) |
Googoloctogintigong | EE242 | 1010242 | f22(796) | Hω2*2(796) | \(g_{\omega^{\omega^{\omega^2\times2+\omega\times4+2}}}(10)\) |
Googolnonigintigong | EE272 | 1010272 | f22(895) | Hω2*2(895) | \(g_{\omega^{\omega^{\omega^2\times2+\omega\times7+2}}}(10)\) |
Googolcentigong | EE302 | 1010302 | f22(994) | Hω2*2(994) | \(g_{\omega^{\omega^{\omega^2\times3+2}}}(10)\) |
Googolmilligong | EE3002 | 10103002 | f22(9960) | Hω2*2(9960) | \(g_{\omega^{\omega^{\omega^3\times3+2}}}(10)\) |
Milliduplexion | E6#3 | 10101,000,000 | f23(17) | Hω2*3(17) | \(g_{\omega^{\omega^{\omega^6}}}(10)\) |
Googolmilli-milligong | EE3,000,002 | 10103,000,002 | f23(19) | Hω2*3(19) | \(g_{\omega^{\omega^{\omega^6\times3+2}}}(10)\) |
Billiduplexion | E9#3 | 1010109 | f23(25) | Hω2*3(25) | \(g_{\omega^{\omega^{\omega^9}}}(10)\) |
Tetralogue | E1#4 | 10101010 | f23(28) | Hω2*3(28) | \(g_{\omega^{\omega^{\omega^\omega}}}(10)\) |
Trilliduplexion | E12#3 | 10101012 | f23(35) | Hω2*3(35) | \(g_{\omega^{\omega^{\omega^{\omega+2}}}}(10)\) |
Guppyduplex | EEE20 | 10101020 | f23(62) | Hω2*3(62) | \(g_{\omega^{\omega^{\omega^{\omega\times2}}}}(10)\) |
Googolduplexibit | E(2)100#3 | ≈ 10103.816009*1029 | f23(93) | Hω2*3(93) | \(g_{\omega^{\omega^{\omega^{\omega\times3}}}}(10)\) |
Gogolduplex | E50#3 | 10101050 | f23(159) | Hω2*3(159) | \(g_{\omega^{\omega^{\omega^{\omega\times5}}}}(10)\) |
Millitriplexion | E6#4 | 101010106 | f24(17) | Hω2*4(17) | \(g_{\omega^{\omega^{\omega^{\omega^6}}}}(10)\) |
Billitriplexion | E9#4 | 101010109 | f24(23) | Hω2*4(23) | \(g_{\omega^{\omega^{\omega^{\omega^9}}}}(10)\) |
Pentalogue | E1#5 | 1010101010 | f24(30) | Hω2*4(30) | \(g_{\omega^{\omega^{\omega^{\omega^\omega}}}}(10)\) |
Trillitriplexion | E12#4 | 1010101012 | f24(36) | Hω2*4(36) | \(g_{\omega^{\omega^{\omega^{\omega^{\omega+2}}}}}(10)\) |
Guppytriplex | EEEE20 | 1010101020 | f24(62) | Hω2*4(62) | \(g_{\omega^{\omega^{\omega^{\omega^{\omega\times2}}}}}(10)\) |
Googoltriplexibit | E(2)100#4 | ≈ 1010103.816009*1029 | f24(93) | Hω2*4(93) | \(g_{\omega^{\omega^{\omega^{\omega^{\omega\times3}}}}}(10)\) |
Gogoltriplex | E50#4 | 1010101050 | f24(160) | Hω2*4(160) | \(g_{\omega^{\omega^{\omega^{\omega^{\omega\times5}}}}}(10)\) |
Hexalogue | E1#6 | 101010101010 | f25(30) | Hω2*5(30) | \(g_{\omega^{\omega^{\omega^{\omega^{\omega^\omega}}}}}(10)\) |
Guppyquadriplex | EEEEE20 | 101010101020 | f25(63) | Hω2*5(63) | \(g_{\omega^{\omega^{\omega^{\omega^{\omega^{\omega\times2}}}}}}(10)\) |
Googolquadriplexibit | E(2)100#5 | ≈ 101010103.816009*1029 | f25(93) | Hω2*5(93) | \(g_{\omega^{\omega^{\omega^{\omega^{\omega^{\omega\times3}}}}}}(10)\) |
Heptalogue | E1#7 | 10↑↑7 | f26(30) | Hω2*6(30) | \(g_{\omega\uparrow\uparrow7}(10)\) |
Guppyquintiplex | EEEEEE20 | 10↑10↑10↑10↑10↑10↑20 | f26(63) | Hω2*6(63) | \(g_{\omega\uparrow\uparrow7}(10)\) |
Googolquintiplexibit | E(2)100#6 | 2↑2↑2↑2↑2↑2↑100 | f26(93) | Hω2*6(93) | \(g_{\omega\uparrow\uparrow7}(10)\) |
Octalogue | E1#8 | 10↑↑8 | f27(30) | Hω2*7(30) | \(g_{\omega\uparrow\uparrow8}(10)\) |
Guppysextiplex | E20#7 | 10↑10↑10↑10↑10↑10↑10↑20 | f27(63) | Hω2*7(63) | \(g_{\omega\uparrow\uparrow8}(10)\) |
Googolsextiplexibit | E(2)100#7 | 2↑2↑2↑2↑2↑2↑2↑100 | f27(93) | Hω2*7(93) | \(g_{\omega\uparrow\uparrow8}(10)\) |
Ennalogue | E1#9 | 10↑↑9 | f28(30) | Hω2*8(30) | \(g_{\omega\uparrow\uparrow9}(10)\) |
Guppyseptiplex | E20#8 | 10↑10↑10↑10↑10↑10↑10↑10↑20 | f28(63) | Hω2*8(63) | \(g_{\omega\uparrow\uparrow9}(10)\) |
Googolseptiplexibit | E(2)100#8 | 2↑2↑2↑2↑2↑2↑2↑2↑100 | f28(93) | Hω2*8(93) | \(g_{\omega\uparrow\uparrow9}(10)\) |
Dekalogue | E1#10 | 10↑↑10 | f29(30) | Hω2*9(30) | \(g_{\varepsilon_0}(10)\) |
Guppyoctiplex | E20#9 | 10↑10↑10↑10↑10↑10↑10↑10↑10↑20 | f29(63) | Hω2*9(63) | \(g_{(\omega\uparrow)^{9}\uparrow20}(10)\) |
Googoloctiplexibit | E(2)100#9 | 2↑2↑2↑2↑2↑2↑2↑2↑2↑100 | f29(93) | Hω2*9(93) | \(g_{(\omega\uparrow)^{9}\uparrow100}(2)\) |
Endekalogue | E1#11 | 10↑↑11 | f210(30) | Hω2*10(30) | \(g_{\omega\uparrow\uparrow11}(10)\) |
Guppynoniplex | E20#10 | 10↑10↑10↑10↑10↑10↑10↑10↑10↑10↑20 | f210(63) | Hω2*10(63) | \(g_{(\omega\uparrow)^{10}\uparrow20}(10)\) |
Googolnoniplexibit | E(2)100#10 | 2↑2↑2↑2↑2↑2↑2↑2↑2↑2↑100 | f210(93) | Hω2*10(93) | \(g_{(\omega\uparrow)^{10}\uparrow100}(2)\) |
Dodekalogue | E1#12 | 10↑↑12 | f211(30) | Hω2*11(30) | \(g_{\omega\uparrow\uparrow12}(10)\) |
Guppydeciplex | E20#11 | 10↑10↑10↑10↑10↑10↑10↑10↑10↑10↑10↑20 | f211(63) | Hω2*11(63) | \(g_{(\omega\uparrow)^{11}\uparrow20}(10)\) |
Googoldeciplexibit | E(2)100#11 | 2↑2↑2↑2↑2↑2↑2↑2↑2↑2↑2↑100 | f211(93) | Hω2*11(93) | \(g_{(\omega\uparrow)^{11}\uparrow100}(2)\) |
Triadekalogue | E1#13 | 10↑↑13 | f3(12) | Hω3(12) | \(g_{\omega\uparrow\uparrow13}(10)\) |
Tetradekalogue | E1#14 | 10↑↑14 | f3(13) | Hω3(13) | \(g_{\omega\uparrow\uparrow14}(10)\) |
Pentadekalogue | E1#15 | 10↑↑15 | f3(14) | Hω3(14) | \(g_{\omega\uparrow\uparrow15}(10)\) |
Hexadekalogue | E1#16 | 10↑↑16 | f3(15) | Hω3(15) | \(g_{\omega\uparrow\uparrow16}(10)\) |
Heptadekalogue | E1#17 | 10↑↑17 | f3(16) | Hω3(16) | \(g_{\omega\uparrow\uparrow17}(10)\) |
Octadekalogue | E1#18 | 10↑↑18 | f3(17) | Hω3(17) | \(g_{\omega\uparrow\uparrow18}(10)\) |
Ennadekalogue | E1#19 | 10↑↑19 | f3(18) | Hω3(18) | \(g_{\omega\uparrow\uparrow19}(10)\) |
Icosalogue | E1#20 | 10↑↑20 | f3(19) | Hω3(19) | \(g_{\omega\uparrow\uparrow20}(10)\) |
Guppyvigintiplex | E20#21 | \(\underbrace{10\uparrow10\uparrow\cdots\uparrow10}_{21\ 10\text{'s}}\uparrow20\) | f3(21) | Hω3(21) | \(g_{(\omega\uparrow)^{21}\uparrow20}(10)\) |
Googolvigintiplexibit | E(2)100#21 | \(\underbrace{2\uparrow2\uparrow\cdots\uparrow2}_{21\ 2\text{'s}}\uparrow100\) | f3(21) | Hω3(21) | \(g_{(\omega\uparrow)^{21}\uparrow100}(2)\) |
Triantalogue | E1#30 | 10↑↑30 | f3(29) | Hω3(29) | \(g_{\omega\uparrow\uparrow30}(10)\) |
Guppytrigintiplex | E20#31 | \(\underbrace{10\uparrow10\uparrow\cdots\uparrow10}_{31\ 10\text{'s}}\uparrow20\) | f3(31) | Hω3(31) | \(g_{(\omega\uparrow)^{31}\uparrow20}(10)\) |
Googoltrigintiplexibit | E(2)100#31 | \(\underbrace{2\uparrow2\uparrow\cdots\uparrow2}_{31\ 2\text{'s}}\uparrow100\) | f3(31) | Hω3(31) | \(g_{(\omega\uparrow)^{31}\uparrow100}(2)\) |
Terantalogue | E1#40 | 10↑↑40 | f3(39) | Hω3(39) | \(g_{\omega\uparrow\uparrow40}(10)\) |
Guppyquadragintiplex | E20#41 | \(\underbrace{10\uparrow10\uparrow\cdots\uparrow10}_{41\ 10\text{'s}}\uparrow20\) | f3(41) | Hω3(41) | \(g_{(\omega\uparrow)^{41}\uparrow20}(10)\) |
Googolquadragintiplexibit | E(2)100#41 | \(\underbrace{2\uparrow2\uparrow\cdots\uparrow2}_{41\ 2\text{'s}}\uparrow100\) | f3(41) | Hω3(41) | \(g_{(\omega\uparrow)^{41}\uparrow100}(2)\) |
Penantalogue | E1#50 | 10↑↑50 | f3(49) | Hω3(49) | \(g_{\omega\uparrow\uparrow50}(10)\) |
Guppyquinquagintiplex | E20#51 | \(\underbrace{10\uparrow10\uparrow\cdots\uparrow10}_{51\ 10\text{'s}}\uparrow20\) | f3(51) | Hω3(51) | \(g_{(\omega\uparrow)^{51}\uparrow20}(10)\) |
Googolquinquagintiplexibit | E(2)100#51 | \(\underbrace{2\uparrow2\uparrow\cdots\uparrow2}_{51\ 2\text{'s}}\uparrow100\) | f3(51) | Hω3(51) | \(g_{(\omega\uparrow)^{51}\uparrow100}(2)\) |
Exatalogue | E1#60 | 10↑↑60 | f3(59) | Hω3(59) | \(g_{\omega\uparrow\uparrow60}(10)\) |
Guppysexagintiplex | E20#61 | \(\underbrace{10\uparrow10\uparrow\cdots\uparrow10}_{61\ 10\text{'s}}\uparrow20\) | f3(61) | Hω3(61) | \(g_{(\omega\uparrow)^{61}\uparrow20}(10)\) |
Googolsexagintiplexibit | E(2)100#61 | \(\underbrace{2\uparrow2\uparrow\cdots\uparrow2}_{61\ 2\text{'s}}\uparrow100\) | f3(61) | Hω3(61) | \(g_{(\omega\uparrow)^{61}\uparrow100}(2)\) |
Eptatalogue | E1#70 | 10↑↑70 | f3(69) | Hω3(69) | \(g_{\omega\uparrow\uparrow70}(10)\) |
Guppyseptuagintiplex | E20#71 | \(\underbrace{10\uparrow10\uparrow\cdots\uparrow10}_{71\ 10\text{'s}}\uparrow20\) | f3(71) | Hω3(71) | \(g_{(\omega\uparrow)^{71}\uparrow20}(10)\) |
Googolseptuagintiplexibit | E(2)100#71 | \(\underbrace{2\uparrow2\uparrow\cdots\uparrow2}_{71\ 2\text{'s}}\uparrow100\) | f3(71) | Hω3(71) | \(g_{(\omega\uparrow)^{71}\uparrow100}(2)\) |
Ogdatalogue | E1#80 | 10↑↑80 | f3(79) | Hω3(79) | \(g_{\omega\uparrow\uparrow80}(10)\) |
Guppyoctogintiplex | E20#81 | \(\underbrace{10\uparrow10\uparrow\cdots\uparrow10}_{81\ 10\text{'s}}\uparrow20\) | f3(81) | Hω3(81) | \(g_{(\omega\uparrow)^{81}\uparrow20}(10)\) |
Googoloctogintiplexibit | E(2)100#81 | \(\underbrace{2\uparrow2\uparrow\cdots\uparrow2}_{81\ 2\text{'s}}\uparrow100\) | f3(81) | Hω3(81) | \(g_{(\omega\uparrow)^{81}\uparrow100}(2)\) |
Entatalogue | E1#90 | 10↑↑90 | f3(89) | Hω3(89) | \(g_{\omega\uparrow\uparrow90}(10)\) |
Guppynonagintiplex | E20#91 | \(\underbrace{10\uparrow10\uparrow\cdots\uparrow10}_{91\ 10\text{'s}}\uparrow20\) | f3(91) | Hω3(91) | \(g_{(\omega\uparrow)^{91}\uparrow20}(10)\) |
Googolnonagintiplexibit | E(2)100#91 | \(\underbrace{2\uparrow2\uparrow\cdots\uparrow2}_{91\ 2\text{'s}}\uparrow100\) | f3(91) | Hω3(91) | \(g_{(\omega\uparrow)^{91}\uparrow100}(2)\) |
Hectalogue | E1#100 | 10↑↑100 | f3(99) | Hω3(99) | \(g_{\omega\uparrow\uparrow100}(10)\) |
Guppycentiplex | E20#101 | \(\underbrace{10\uparrow10\uparrow\cdots\uparrow10}_{101\ 10\text{'s}}\uparrow20\) | f3(101) | Hω3(101) | \(g_{(\omega\uparrow)^{101}\uparrow20}(10)\) |
Googolcentiplexibit | E(2)100#101 | \(\underbrace{2\uparrow2\uparrow\cdots\uparrow2}_{101\ 2\text{'s}}\uparrow100\) | f3(101) | Hω3(101) | \(g_{(\omega\uparrow)^{101}\uparrow100}(2)\) |
Chilialogue | E1#1000 | 10↑↑1,000 | f3(999) | Hω3(999) | \(g_{\omega\uparrow\uparrow1000}(10)\) |
Guppymilliplex | E20#1001 | \(\underbrace{10\uparrow10\uparrow\cdots\uparrow10}_{1001\ 10\text{'s}}\uparrow20\) | f3(1001) | Hω3(1001) | \(g_{(\omega\uparrow)^{1001}\uparrow20}(10)\) |
Googolmilliplexibit | E(2)100#1001 | \(\underbrace{2\uparrow2\uparrow\cdots\uparrow2}_{1001\ 2\text{'s}}\uparrow100\) | f3(1001) | Hω3(1001) | \(g_{(\omega\uparrow)^{1001}\uparrow100}(2)\) |
Myrialogue | E1#10,000 | 10↑↑10,000 | f3(9999) | Hω3(999) | \(g_{\omega\uparrow\uparrow10,000}(10)\) |
Chilia-chilialogue | E1#1,000,000 | 10↑↑106 | f3(999,999) | Hω3(999,999) | \(g_{\omega\uparrow\uparrow10^{6}}(10)\) |
Guppymilli-milliplex | E20#1,000,001 | \(\underbrace{10\uparrow10\uparrow\cdots\uparrow10}_{1,000,001\ 10\text{'s}}\uparrow20\) | f3(1,000,001) | Hω3(1,000,001) | \(g_{(\omega\uparrow)^{1,000,001}\uparrow20}(10)\) |
Googolmilli-milliplexibit | E(2)100#1,000,001 | \(\underbrace{2\uparrow2\uparrow\cdots\uparrow2}_{1,000,001\ 2\text{'s}}\uparrow100\) | f3(1,000,001) | Hω3(1,000,001) | \(g_{(\omega\uparrow)^{1,000,001}\uparrow100}(2)\) |
Chilia-myrialogue | E1#10,000,000 | 10↑↑107 | f3(107-1) | Hω3(107-1) | \(g_{\omega\uparrow\uparrow10^{7}}(10)\) |
Myria-myrialogue, Octadalogue | E1#100,000,000 | 10↑↑108 | f3(108-1) | Hω3(108-1) | \(g_{\omega\uparrow\uparrow10^{8}}(10)\) |
Sedeniadalogue | E1#10,000,000,000,000,000 | 10↑↑1016 | f3(1016-1) | Hω3(1016-1) | \(g_{\omega\uparrow\uparrow10^{16}}(10)\) |
Sources[]
- ↑ Sbiis Saibian, Hyper-E Numbers - Large Numbers
Hyper-E regiments: Guppy regiment · Grangol regiment · Greagol regiment · Gigangol regiment · Gorgegol regiment · Gulgol regiment · Gaspgol regiment · Ginorgol regiment · Gargantuul regiment · Googondol regiment
Extended Hyper-E regiments: Gugold regiment · Graatagold regiment · Greegold regiment · Grinningold regiment · Golaagold regiment · Gruelohgold regiment · Gaspgold regiment · Ginorgold regiment · Gargantuuld regiment · Googondold regiment · Gugolthra regiment · Throogol regiment · Tetroogol regiment · Pentoogol regiment · Hexoogol regiment · Heptoogol regiment · Ogdoogol regiment · Entoogol regiment · Dektoogol regiment
Cascading-E regiments: Godgahlah regiment · Gridgahlah regiment · Kubikahlah regiment · Quarticahlah regiment · Quinticahlah regiment · Sexticahlah regiment · Septicahlah regiment · Octicahlah regiment · Nonicahlah regiment · Decicahlah regiment · Godgathor regiment · Gralgathor regiment · Thraelgathor regiment · Terinngathor regiment · Pentaelgathor regiment · Hexaelgathor regiment · Heptaelgathor regiment · Octaelgathor regiment · Ennaelgathor regiment · Dekaelgathor regiment · Godtothol regiment · Godtertol regiment · Godtopol regiment · Godhathor regiment · Godheptol regiment · Godoctol regiment · Godentol regiment · Goddekathol regiment
Extended Cascading-E regiments: Tethrathoth regiment · Monster-Giant regiment · Tethriterator regiment · Tethracross regiment · Tethracubor regiment · Tethrateron regiment · Tethrapeton regiment · Tethrahexon regiment · Tethrahepton regiment · Tethra-ogdon regiment · Tethrennon regiment · Tethradekon regiment · Tethratope regiment · Pentacthulhum regiment · Pentacthulcross regiment · Pentacthulcubor regiment · Pentacthulteron regiment · Pentacthulpeton regiment · Pentacthulhexon regiment · Pentacthulhepton regiment · Pentacthul-ogdon regiment · Pentacthulennon regiment · Pentacthuldekon regiment · Pentacthultope regiment · Hexacthulhum super regiment · Heptacthulhum super regiment · Ogdacthulhum super regiment · Ennacthulhum super regiment · Dekacthulhum super regiment
Beyond...: Blasphemorgulus regiment
Redstonepillager's extensions: Extended Gridgahlah regiment · Tethratopothoth regiment · Godsgodgulus regiment · Blasphemorgulus regiment · Blasphemordeugulus regiment · Ominongulus regiment