The guppy regiment is a series of 504 numbers from up 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 (exact) | Standard notation/Numerical value | Fast-growing hierarchy | Hardy hierarchy | Slow-growing hierarchy |
| Googol-minutia-speck | E(-110) | 10-110 | \({f_2(357)}^{-1}\) | \({H_{\omega^2}(357)}^{-1}\) | \({g_{\omega^{\omega^2+\omega}}(10)}^{-1}\) |
| Googol-minutia | E(-100) | 10-100 | \({f_2(324)}^{-1}\) | \({H_{\omega^2}(324)}^{-1}\) | \({g_{\omega^{\omega^2}}(10)}^{-1}\) |
| Ogol-minutia | E(-80) | 10-80 | \({f_2(258)}^{-1}\) | \({H_{\omega^2}(258)}^{-1}\) | \({g_{\omega^{\omega\times8}}(10)}^{-1}\) |
| Gogol-minutia | E(-50) | 10-50 | \({f_2(159)}^{-1}\) | \({H_{\omega^2}(159)}^{-1}\) | \({g_{\omega^{\omega\times5}}(10)}^{-1}\) |
| Goby-minutia | E(-35) | 10-35 | \({f_2(109)}^{-1}\) | \({H_{\omega^2}(109)}^{-1}\) | \({g_{\omega^{\omega\times3+5}}(10)}^{-1}\) |
| Minnow-minutia | E(-25) | 10-25 | \({f_2(77)}^{-1}\) | \({H_{\omega^2}(77)}^{-1}\) | \({g_{\omega^{\omega\times2+5}}(10)}^{-1}\) |
| Guppy-minutia | E(-20) | 10-20 | \({f_2(61)}^{-1}\) | \({H_{\omega^2}(61)}^{-1}\) | \({g_{\omega^{\omega\times2}}(10)}^{-1}\) |
| Eyelash mite-speck | 2E(-6) | 0.000002 | \({f_2(15)}^{-1}\) | \({H_{\omega^2}(15)}^{-1}\) | \({g_{\omega^5\times5}(10)}^{-1}\) |
| Dust mite-speck | 5E(-6) | 0.000005 | \({f_2(14)}^{-1}\) | \({H_{\omega^2}(14)}^{-1}\) | \({g_{\omega^5\times2}(10)}^{-1}\) |
| Cheese mite-speck | 8E(-6) | 0.000008 | \({f_2(13)}^{-1}\) | \({H_{\omega^2}(13)}^{-1}\) | \({g_{\omega^5}(10)}^{-1}\) |
| Clover mite-speck | 2E(-5) | 0.00002 | \({f_2(12)}^{-1}\) | \({H_{\omega^2}(12)}^{-1}\) | \({g_{\omega^4\times5}(10)}^{-1}\) |
| Eyelash mite-crumb | 2E(-1) | 0.2 | 0.2 | ||
| Dust mite-crumb | 5E(-1) | 0.5 | 0.5 | ||
| Cheese mite-crumb | 8E(-1) | 0.8 | 0.8 | ||
| Clover mite-crumb | 2E0 | 2 | 2 | ||
| Monologue | E1#1 | 10 | 10 | ||
| Binary-eyelash mite | 2*2^4 | 32 | 32 | ||
| Binary-clover mite | 2*2^5 | 64 | 64 | ||
| Binary-dust mite | 5*2^4 | 80 | 80 | ||
| Binary-cheese mite, binary-pipsqueak | 8*2^4 | 128 | \(f_2(5)\) | \(H_{\omega^2}(5)\) | \(g_{\omega^2+\omega\times3}(10)\) |
| Ternary-eyelash mite | 2*3^4 | 162 | \(f_2(5)\) | \(H_{\omega^2}(5)\) | \(g_{\omega^2+\omega\times6}(10)\) |
| Ternary-dust mite | 5*3^4 | 405 | \(f_2(6)\) | \(H_{\omega^2}(6)\) | \(g_{\omega^2\times4}(10)\) |
| Ternary-clover mite | 2*3^5 | 486 | \(f_2(6)\) | \(H_{\omega^2}(6)\) | \(g_{\omega^2\times5}(10)\) |
| Ternary-cheese mite | 8*3^4 | 648 | \(f_2(6)\) | \(H_{\omega^2}(6)\) | \(g_{\omega^2\times6}(10)\) |
| Binary-guppyspeck | 2^10 | 1024 | \(f_2(7)\) | \(H_{\omega^2}(7)\) | \(g_{\omega^3}(10)\) |
| Eyelash mite-chunk | 2E3 | 2000 | \(f_2(8)\) | \(H_{\omega^2}(8)\) | \(g_{\omega^3\times2}(10)\) |
| Ternary-pipsqueak | 3^7 | 2187 | \(f_2(8)\) | \(H_{\omega^2}(8)\) | \(g_{\omega^3\times2}(10)\) |
| Dust mite-chunk | 5E3 | 5000 | \(f_2(9)\) | \(H_{\omega^2}(9)\) | \(g_{\omega^3\times5}(10)\) |
| Binary-squeaker | 5*2^10 | 5120 | \(f_2(9)\) | \(H_{\omega^2}(9)\) | \(g_{\omega^3\times5+\omega^2}(10)\) |
| Cheese mite-chunk | 8E3 | 8000 | \(f_2(10)\) | \(H_{\omega^2}(10)\) | \(g_{\omega^3\times8}(10)\) |
| Octal-eyelash mite | 2*8^4 | 8192 | \(f_2(10)\) | \(H_{\omega^2}(10)\) | \(g_{\omega^3\times8+\omega^2\times2}(10)\) |
| Eyelash mite, Clover mite-chunk | 2E4 | 20,000 | \(f_2(11)\) | \(H_{\omega^2}(11)\) | \(g_{\omega^4\times2}(10)\) |
| Octal-dust mite | 5*8^4 | 20,480 | \(f_2(11)\) | \(H_{\omega^2}(11)\) | \(g_{\omega^4\times2}(10)\) |
| Octal-cheese mite, Binary-small fry, Binary-guppycrumb, Binary-minnowspeck | 8*8^4 = 2^15 | 32,768 | \(f_2(11)\) | \(H_{\omega^2}(11)\) | \(g_{\omega^4\times3}(10)\) |
| Dust mite | 5E4 | 50,000 | \(f_2(12)\) | \(H_{\omega^2}(12)\) | \(g_{\omega^4\times5}(10)\) |
| Ternary-guppyspeck | 3^10 | 59,049 | \(f_2(12)\) | \(H_{\omega^2}(12)\) | \(g_{\omega^4\times6}(10)\) |
| Octal-clover mite | 2*8^5 | 65,536 | \(f_2(12)\) | \(H_{\omega^2}(12)\) | \(g_{\omega^4\times6+\omega^3\times6}(10)\) |
| Cheese mite | 8E4 | 80,000 | \(f_2(13)\) | \(H_{\omega^2}(13)\) | \(g_{\omega^4\times8}(10)\) |
| Clover mite, Eyelash mite-bunch | 2E5 | 200,000 | \(f_2(14)\) | \(H_{\omega^2}(14)\) | \(g_{\omega^5\times2}(10)\) |
| Ternary-squeaker | 5*3^10 | 295,245 | \(f_2(14)\) | \(H_{\omega^2}(14)\) | \(g_{\omega^5\times3}(10)\) |
| Dust mite-bunch | 5E5 | 500,000 | \(f_2(15)\) | \(H_{\omega^2}(15)\) | \(g_{\omega^5\times5}(10)\) |
| Binary-guppychunk | 2^19 | 524,288 | \(f_2(15)\) | \(H_{\omega^2}(15)\) | \(g_{\omega^5\times5+\omega^4\times2}(10)\) |
| Cheese mite-bunch | 8E5 | 800,000 | \(f_2(16)\) | \(H_{\omega^2}(16)\) | \(g_{\omega^5\times8}(10)\) |
| Guppybit, Binary-minnowcrumb | 2^20 | 1,048,576 | \(f_2(16)\) | \(H_{\omega^2}(16)\) | \(g_{\omega^6}(10)\) |
| Clover mite-bunch | 2E6 | 2,000,000 | \(f_2(17)\) | \(H_{\omega^2}(17)\) | \(g_{\omega^6\times2}(10)\) |
| Octal-pipsqueak | 8^7=2^21 | 2,097,152 | \(f_2(17)\) | \(H_{\omega^2}(17)\) | \(g_{\omega^6\times2+\omega^5}(10)\) |
| Pipsqueak | E7 | 10,000,000 | \(f_2(19)\) | \(H_{\omega^2}(19)\) | \(g_{\omega^7}(10)\) |
| Ternary-small fry, Ternary-guppycrumb, Ternary-minnowspeck | 3^15 | 14,348,907 | \(f_2(19)\) | \(H_{\omega^2}(19)\) | \(g_{\omega^7+\omega^6\times4}(10)\) |
| Binary-minnowchunk | 2^24 | 16,777,216 | \(f_2(20)\) | \(H_{\omega^2}(20)\) | \(g_{\omega^7+\omega^6\times7}(10)\) |
| Minnowbit, Binary-gobyspeck | 2^25 | 33,554,432 | \(f_2(21)\) | \(H_{\omega^2}(21)\) | \(g_{\omega^7\times3+\omega^6\times3}(10)\) |
| Binary-gobycrumb, Octal-guppyspeck | 2^30 = 8^10 | 1,073,741,824 | \(f_2(25)\) | \(H_{\omega^2}(25)\) | \(g_{\omega^9}(10)\) |
| Ternary-guppychunk | 3^19 | 1,162,261,467 | \(f_2(25)\) | \(H_{\omega^2}(25)\) | \(g_{\omega^9+\omega^8}(10)\) |
| Eyelash mite-crowd | 2E9 | 2,000,000,000 | \(f_2(26)\) | \(H_{\omega^2}(26)\) | \(g_{\omega^9\times2}(10)\) |
| Ternary-guppy, Ternary-minnowcrumb | 3^20 | 3,486,784,401 | \(f_2(27)\) | \(H_{\omega^2}(27)\) | \(g_{\omega^9\times3}(10)\) |
| Dust mite-crowd | 5E9 | 5,000,000,000 | \(f_2(27)\) | \(H_{\omega^2}(27)\) | \(g_{\omega^9\times5}(10)\) |
| Octal-squeaker | 5*8^10 | 5,368,709,120 | \(f_2(27)\) | \(H_{\omega^2}(27)\) | \(g_{\omega^9\times5+\omega^8\times4}(10)\) |
| Cheese mite-crowd | 8E9 | 8,000,000,000 | \(f_2(28)\) | \(H_{\omega^2}(28)\) | \(g_{\omega^9\times8}(10)\) |
| Guppyspeck, Dialogue | 10^10 | 10,000,000,000 | \(f_2(28)\) | \(H_{\omega^2}(28)\) | \(g_{\omega^\omega}(10)\) |
| Binary-gobychunk | 2^34 | 17,179,869,184 | \(f_2(29)\) | \(H_{\omega^2}(29)\) | \(g_{\omega^\omega+\omega^9\times7}(10)\) |
| Clover mite-crowd | 2E10 | 20,000,000,000 | \(f_2(29)\) | \(H_{\omega^2}(29)\) | \(g_{\omega^\omega\times2}(10)\) |
| Gobybit | 2^35 | 34,359,738,368 | \(f_2(30)\) | \(H_{\omega^2}(30)\) | \(g_{\omega^\omega\times3}(10)\) |
| Little squeaker | 5E10 | 50,000,000,000 | \(f_2(31)\) | \(H_{\omega^2}(31)\) | \(g_{\omega^\omega\times5}(10)\) |
| Ternary-minnowchunk | 3^24 | 282,429,536,481 | \(f_2(33)\) | \(H_{\omega^2}(33)\) | \(g_{\omega^{\omega+1}\times3}(10)\) |
| Ternary-minnow, Ternary-gobyspeck | 3^25 | 847,288,609,443 | \(f_2(34)\) | \(H_{\omega^2}(34)\) | \(g_{\omega^{\omega+1}\times8}(10)\) |
| Binary-gogolspeck, Quaternary-guppy | 2^40 | 1,099,511,627,776 | \(f_2(35)\) | \(H_{\omega^2}(35)\) | \(g_{\omega^{\omega+2}+\omega^{\omega+1}}(10)\) |
| Octal-small fry, Octal-guppycrumb, Octal-minnowspeck, Binary-gogolcrumb | 8^15=2^45 | 35,184,372,088,832 | \(f_2(40)\) | \(H_{\omega^2}(40)\) | \(g_{\omega^{\omega+3}\times4}(10)\) |
| Quinary-guppy | 5^20 | 95,367,431,640,625 | \(f_2(41)\) | \(H_{\omega^2}(40)\) | \(g_{\omega^{\omega+4}}(10)\) |
| Eyelash mite-swarm | 2E14 | 200,000,000,000,000 | \(f_2(42)\) | \(H_{\omega^2}(42)\) | \(g_{\omega^{\omega+4}\times2}(10)\) |
| Ternary-gobycrumb | 3^30 | 205,891,132,094,649 | \(f_2(42)\) | \(H_{\omega^2}(42)\) | \(g_{\omega^{\omega+4}\times2+\omega^{\omega+2}\times6}(10)\) |
| Dust mite-swarm | 5E14 | 500,000,000,000,000 | \(f_2(43)\) | \(H_{\omega^2}(43)\) | \(g_{\omega^{\omega+4}\times5}(10)\) |
| Binary-gogolchunk | 2^49 | 562,949,953,421,312 | \(f_2(44)\) | \(H_{\omega^2}(44)\) | \(g_{\omega^{\omega+4}\times6}(10)\) |
| Cheese mite-swarm | 8E14 | 800,000,000,000,000 | \(f_2(44)\) | \(H_{\omega^2}(44)\) | \(g_{\omega^{\omega+4}\times8}(10)\) |
| Small fry, Guppycrumb, Minnowspeck | E15 | 1,000,000,000,000,000 | \(f_2(44)\) | \(H_{\omega^2}(44)\) | \(g_{\omega^{\omega+5}}(10)\) |
| Gogolbit | 2^50 | 1,125,899,906,842,624 | \(f_2(45)\) | \(H_{\omega^2}(45)\) | \(g_{\omega^{\omega+5}+\omega^{\omega+4}}(10)\) |
| Clover mite-swarm | 2E15 | 2,000,000,000,000,000 | \(f_2(45)\) | \(H_{\omega^2}(45)\) | \(g_{\omega^{\omega+5}\times2}(10)\) |
| Ternary-gobychunk | 3^34 | 16,677,181,699,666,569 | \(f_2(48)\) | \(H_{\omega^2}(48)\) | \(g_{\omega^{\omega+6}\times2}(10)\) |
| Ternary-goby | 3^35 | 50,031,545,098,999,707 | \(f_2(50)\) | \(H_{\omega^2}(50)\) | \(g_{\omega^{\omega+6}\times5}(10)\) |
| Octal-guppychunk | 8^19=2^57 | 144,115,188,075,855,872 | \(f_2(51)\) | \(H_{\omega^2}(51)\) | \(g_{\omega^{\omega+7}}(10)\) |
| Guppybyte, Octal-minnowcrumb | 8^20=2^60 | 1,152,921,504,606,846,976 | \(f_2(55)\) | \(H_{\omega^2}(55)\) | \(g_{\omega^{\omega+8}}(10)\) |
| Guppychunk | 10^19 | 10,000,000,000,000,000,000 | \(f_2(57)\) | \(H_{\omega^2}(57)\) | \(g_{\omega^{\omega+9}}(10)\) |
| Ternary-gogolspeck | 3^40 | 12,157,665,459,056,928,801 | \(f_2(57)\) | \(H_{\omega^2}(57)\) | \(g_{\omega^{\omega+9}+\omega^{\omega+8}\times2}(10)\) |
| Binary-prawn | 2^65 | 36,893,488,147,419,103,232 | \(f_2(59)\) | \(H_{\omega^2}(59)\) | \(g_{\omega^{\omega+9}\times4}(10)\) |
| Guppy, Minnowcrumb | E20 | 1020 | \(f_2(60)\) | \(H_{\omega^2}(60)\) | \(g_{\omega^{\omega\times2}}(10)\) |
| Binary-ogolspeck | 2^70 | ~1.180592*1021 | \(f_2(64)\) | \(H_{\omega^2}(64)\) | \(g_{\omega^{\omega\times2+1}}(10)\) |
| Ternary-gogolcrumb | 3^45 | ~2.954312*1021 | \(f_2(65)\) | \(H_{\omega^2}(65)\) | \(g_{\omega^{\omega\times2+1}\times3}(10)\) |
| Duodecimal-guppy | 12^20 | ~3.833760*1021 | \(f_2(66)\) | \(H_{\omega^2}(66)\) | \(g_{\omega^{\omega\times2+1}\times4}(10)\) |
| Octal-minnowchunk | 8^24=2^72 | ~4.722366*1021 | \(f_2(66)\) | \(H_{\omega^2}(66)\) | \(g_{\omega^{\omega\times2+1}\times5}(10)\) |
| Ternary-gogolchunk | 3^49 | ~2.392293*1023 | \(f_2(71)\) | \(H_{\omega^2}(71)\) | \(g_{\omega^{\omega\times2+3}\times2}(10)\) |
| Minnowbyte, Binary-lightweight, Octal-gobyspeck, Binary-ogolcrumb | 8^25=2^75 | ~3.777893*1023 | \(f_2(72)\) | \(H_{\omega^2}(72)\) | \(g_{\omega^{\omega\times2+3}\times3}(10)\) |
| Binary-ogolchunk | 2^79 | ~6.044629*1023 | \(f_2(73)\) | \(H_{\omega^2}(73)\) | \(g_{\omega^{\omega\times2+3}\times6}(10)\) |
| Ternary-gogol | 3^50 | ~7.178980*1023 | \(f_2(73)\) | \(H_{\omega^2}(73)\) | \(g_{\omega^{\omega\times2+3}\times7}(10)\) |
| Minnowchunk | 10^24 | 1024 | \(f_2(73)\) | \(H_{\omega^2}(73)\) | \(g_{\omega^{\omega\times2+4}}(10)\) |
| Ogolbit, Hexadecimal-guppy | 2^80=16^20 | ~1.208926*1024 | \(f_2(74)\) | \(H_{\omega^2}(74)\) | \(g_{\omega^{\omega\times2+4}}(10)\) |
| Minnow, Gobyspeck | E25 | 1025 | \(f_2(77)\) | \(H_{\omega^2}(77)\) | \(g_{\omega^{\omega\times2+5}}(10)\) |
| Binary-twerpuloid | 2^85 | ~3.868562*1025 | \(f_2(79)\) | \(H_{\omega^2}(79)\) | \(g_{\omega^{\omega\times2+5}\times4}(10)\) |
| Vigesimal-guppy | 20^20 | 1.048576*1026 | \(f_2(80)\) | \(H_{\omega^2}(80)\) | \(g_{\omega^{\omega\times2+6}}(10)\) |
| Binary-googolspeck, Octal-gobycrumb | 2^90=8^30 | ~1.237940*1027 | \(f_2(84)\) | \(H_{\omega^2}(84)\) | \(g_{\omega^{\omega\times2+7}}(10)\) |
| Binary-googolcrumb | 2^95 | ~3.961408*1028 | \(f_2(88)\) | \(H_{\omega^2}(88)\) | \(g_{\omega^{\omega\times2+7}}(10)\) |
| Binary-googolchunk | 2^99 | ~6.338253*1029 | \(f_2(92)\) | \(H_{\omega^2}(92)\) | \(g_{\omega^{\omega\times2+9}\times6}(10)\) |
| Gobycrumb | 10^30 | 1030 | \(f_2(93)\) | \(H_{\omega^2}(93)\) | \(g_{\omega^{\omega\times3}}(10)\) |
| Googolbit, Quaternary-gogol, Binary-guppyding | 2^100 | ~1.267651*1030 | \(f_2(93)\) | \(H_{\omega^2}(93)\) | \(g_{\omega^{\omega\times3}}(10)\) |
| Octal-gobychunk | 8^34=2^102 | ~5.070602*1030 | \(f_2(95)\) | \(H_{\omega^2}(95)\) | \(g_{\omega^{\omega\times3}\times5}(10)\) |
| Ternary-prawn | 3^65 | ~1.030105*1031 | \(f_2(96)\) | \(H_{\omega^2}(96)\) | \(g_{\omega^{\omega\times3+1}}(10)\) |
| Gobybyte | 8^35=2^105 | ~4.056482*1031 | \(f_2(98)\) | \(H_{\omega^2}(98)\) | \(g_{\omega^{\omega\times3+1}\times4}(10)\) |
| Ternary-ogolspeck | 3^70 | ~2.503156*1033 | \(f_2(104)\) | \(H_{\omega^2}(104)\) | \(g_{\omega^{\omega\times3+3}\times3}(10)\) |
| Gobychunk | 10^34 | 1034 | \(f_2(107)\) | \(H_{\omega^2}(107)\) | \(g_{\omega^{\omega\times3+4}}(10)\) |
| Quinary-gogol | 5^50 | ~8.881784*1034 | \(f_2(109)\) | \(H_{\omega^2}(109)\) | \(g_{\omega^{\omega\times3+9}}(10)\) |
| Goby | E35 | 1035 | \(f_2(109)\) | \(H_{\omega^2}(109)\) | \(g_{\omega^{\omega\times3+5}}(10)\) |
| Sexagesimal-guppy | 60^20 | ~3.656158*1035 | \(f_2(111)\) | \(H_{\omega^2}(111)\) | \(g_{\omega^{\omega\times3+5}\times4}(10)\) |
| Ternary-ogolcrumb | 3^75 | ~6.082668*1035 | \(f_2(112)\) | \(H_{\omega^2}(112)\) | \(g_{\omega^{\omega\times3+5}\times6}(10)\) |
| Octal-gogolspeck | 8^40=2^120 | ~1.329228*1036 | \(f_2(113)\) | \(H_{\omega^2}(113)\) | \(g_{\omega^{\omega\times3+6}}(10)\) |
| Ternary-ogolchunk | 3^79 | ~4.926961*1037 | \(f_2(118)\) | \(H_{\omega^2}(118)\) | \(g_{\omega^{\omega\times3+7}\times5}(10)\) |
| Ternary-ogol | 3^80 | ~1.478088*1038 | \(f_2(120)\) | \(H_{\omega^2}(120)\) | \(g_{\omega^{\omega\times3+8}}(10)\) |
| Gogolspeck | 10^40 | 1040 | \(f_2(126)\) | \(H_{\omega^2}(126)\) | \(g_{\omega^{\omega\times4}}(10)\) |
| Ternary-twerpuloid | 3^85 | ~3.591756*1040 | \(f_2(128)\) | \(H_{\omega^2}(128)\) | \(g_{\omega^{\omega\times4}\times4}(10)\) |
| Octal-gogolcrumb | 8^45=2^135 | ~4.355614*1040 | \(f_2(128)\) | \(H_{\omega^2}(128)\) | \(g_{\omega^{\omega\times4}\times4}(10)\) |
| Ternary-googolspeck | 3^90 | ~8.727964*1042 | \(f_2(135)\) | \(H_{\omega^2}(135)\) | \(g_{\omega^{\omega\times4+1}\times9}(10)\) |
| Octal-gogolchunk | 8^49=2^147 | ~1.784060*1044 | \(f_2(140)\) | \(H_{\omega^2}(140)\) | \(g_{\omega^{\omega\times4+4}\times2}(10)\) |
| Gogolcrumb | 10^45 | 1045 | \(f_2(142)\) | \(H_{\omega^2}(142)\) | \(g_{\omega^{\omega\times4+5}}(10)\) |
| Gogolbyte | 8^50=2^150 | ~1.427248*1045 | \(f_2(143)\) | \(H_{\omega^2}(143)\) | \(g_{\omega^{\omega\times4+5}}(10)\) |
| Ternary-googolcrumb | 3^95 | ~2.120895*1045 | \(f_2(143)\) | \(H_{\omega^2}(143)\) | \(g_{\omega^{\omega\times4+5}\times2}(10)\) |
| Ternary-googolchunk | 3^99 | ~1.717925*1047 | \(f_2(150)\) | \(H_{\omega^2}(150)\) | \(g_{\omega^{\omega\times4+7}\times2}(10)\) |
| Ternary-googol | 3^100 | ~5.153775*1047 | \(f_2(151)\) | \(H_{\omega^2}(151)\) | \(g_{\omega^{\omega\times4+7}\times5}(10)\) |
| Quaternary-gogol | 4^80=2^160 | ~1.461502*1048 | \(f_2(153)\) | \(H_{\omega^2}(153)\) | \(g_{\omega^{\omega\times4+7}\times2}(10)\) |
| Gogolchunk | 10^49 | 1049 | \(f_2(155)\) | \(H_{\omega^2}(155)\) | \(g_{\omega^{\omega\times4+9}}(10)\) |
| Gogol | E50 | 1050 | \(f_2(159)\) | \(H_{\omega^2}(159)\) | \(g_{\omega^{\omega\times5}}(10)\) |
| Duodecimal-gogol | 12^50 | ~9.100438*1053 | \(f_2(172)\) | \(H_{\omega^2}(172)\) | \(g_{\omega^{\omega\times5+3}\times9}(10)\) |
| Quinary-ogol | 5^80 | ~8.271806*1055 | \(f_2(178)\) | \(H_{\omega^2}(178)\) | \(g_{\omega^{\omega\times5+5}\times8}(10)\) |
| Octal-prawn | 8^65=2^195 | ~5.021681*1058 | \(f_2(187)\) | \(H_{\omega^2}(187)\) | \(g_{\omega^{\omega\times5+8}\times5}(8)\) |
| Quaternary-googol, Hexadecimal-ogol, Binary-guppychime | 4^100=16^50=2^200 | ~1.606938*1060 | \(f_2(192)\) | \(H_{\omega^2}(192)\) | \(g_{\omega^{\omega\times6}\times2}(8)\) |
| Octal-ogolspeck | 8^70=2^210 | ~1.645505*1063 | \(f_2(202)\) | \(H_{\omega^2}(202)\) | \(g_{\omega^{\omega\times6+3}\times2}(10)\) |
| Jumbo shrimp | E65 | 1065 | \(f_2(208)\) | \(H_{\omega^2}(208)\) | \(g_{\omega^{\omega\times6+5}}(10)\) |
| Vigesimal-gogol | 20^50 | ~1.125900*1065 | \(f_2(208)\) | \(H_{\omega^2}(208)\) | \(g_{\omega^{\omega\times6+5}}(10)\) |
| Octal-lightweight, Octal-ogolcrumb | 8^75=2^225 | ~5.391989*1067 | \(f_2(217)\) | \(H_{\omega^2}(217)\) | \(g_{\omega^{\omega\times6+7}\times5}(10)\) |
| Quinary-googol | 5^100 | ~7.888609*1069 | \(f_2(224)\) | \(H_{\omega^2}(224)\) | \(g_{\omega^{\omega\times6+9}\times8}(10)\) |
| Ogolspeck | 10^70 | 1070 | \(f_2(225)\) | \(H_{\omega^2}(225)\) | \(g_{\omega^{\omega\times7}}(10)\) |
| Octal-ogolchunk | 8^79=2^237 | ~2.208559*1071 | \(f_2(229)\) | \(H_{\omega^2}(229)\) | \(g_{\omega^{\omega\times7+1}\times2}(10)\) |
| Ogolbyte | 8^80=2^240 | ~1.766847*1072 | \(f_2(232)\) | \(H_{\omega^2}(232)\) | \(g_{\omega^{\omega\times7+2}\times2}(10)\) |
| Lightweight, Ogolcrumb | E75 | 1075 | \(f_2(241)\) | \(H_{\omega^2}(241)\) | \(g_{\omega^{\omega\times7+5}}(10)\) |
| Binary-gogolding | 2^250 | ~1.809251*1075 | \(f_2(242)\) | \(H_{\omega^2}(242)\) | \(g_{\omega^{\omega\times7+5}\times2}(10)\) |
| Octal-twerpuloid | 8^85=2^255 | ~5.789604*1076 | \(f_2(247)\) | \(H_{\omega^2}(247)\) | \(g_{\omega^{\omega\times7+6}\times6}(10)\) |
| Ogolchunk | 10^79 | 1079 | \(f_2(254)\) | \(H_{\omega^2}(254)\) | \(g_{\omega^{\omega\times7+9}}(10)\) |
| Ogol | E80 | 1080 | \(f_2(258)\) | \(H_{\omega^2}(258)\) | \(g_{\omega^{\omega\times8}}(10)\) |
| Octal-googolspeck | 8^90=2^270 | ~1.897137*1081 | \(f_2(262)\) | \(H_{\omega^2}(262)\) | \(g_{\omega^{\omega\times8+1}\times2}(10)\) |
| Tiny twerpuloid | E85 | 1085 | \(f_2(274)\) | \(H_{\omega^2}(274)\) | \(g_{\omega^{\omega\times8+5}}(10)\) |
| Octal-googolcrumb | 8^95=2^285 | ~6.216540*1085 | \(f_2(277)\) | \(H_{\omega^2}(277)\) | \(g_{\omega^{\omega\times8+5}\times6}(10)\) |
| Duodecimal-ogol | 12^80 | ~2.160228*1086 | \(f_2(279)\) | \(H_{\omega^2}(279)\) | \(g_{\omega^{\omega\times8+6}\times2}(10)\) |
| Sexagesimal-gogol | 60^50 | ~8.082813*1088 | \(f_2(287)\) | \(H_{\omega^2}(287)\) | \(g_{\omega^{\omega\times8+8}\times8}(10)\) |
| Octal-googolchunk | 8^99=2^297 | ~2.546295*1089 | \(f_2(289)\) | \(H_{\omega^2}(289)\) | \(g_{\omega^{\omega\times8+9}\times3}(10)\) |
| Googolspeck | E90 | 1090 | \(f_2(291)\) | \(H_{\omega^2}(291)\) | \(g_{\omega^{\omega\times9}}(10)\) |
| Googolbyte, Octal-guppyding | 8^100=2^300 | ~2.037036*1090 | \(f_2(292)\) | \(H_{\omega^2}(292)\) | \(g_{\omega^{\omega\times8+9}\times2}(10)\) |
| Googolcrumb | E95 | 1095 | \(f_2(307)\) | \(H_{\omega^2}(307)\) | \(g_{\omega^{\omega\times9+5}}(10)\) |
| Hexadecimal-ogol | 16^80=2^320 | ~2.135987*1096 | \(f_2(312)\) | \(H_{\omega^2}(312)\) | \(g_{\omega^{\omega\times9+6}\times2}(10)\) |
| Googolchunk | E99 | 1099 | \(f_2(320)\) | \(H_{\omega^2}(320)\) | \(g_{\omega^{\omega\times9+9}}(10)\) |
| Guppyding | E100 | 10100 | \(f_2(324)\) | \(H_{\omega^2}(324)\) | \(g_{\omega^{\omega^2}}(10)\) |
| Googolbunch | E101 | 10101 | \(f_2(327)\) | \(H_{\omega^2}(327)\) | \(g_{\omega^{\omega^2+1}}(10)\) |
| Vigesimal-ogol | 20^80 | ~1.208926*10104 | \(f_2(337)\) | \(H_{\omega^2}(337)\) | \(g_{\omega^{\omega^2+4}}(10)\) |
| Googolcrowd | E105 | 10105 | \(f_2(340)\) | \(H_{\omega^2}(340)\) | \(g_{\omega^{\omega^2+5}}(10)\) |
| Duodecimal-googol | 12^100 | ~8.281797*10107 | \(f_2(350)\) | \(H_{\omega^2}(350)\) | \(g_{\omega^{\omega^2+7}\times8}(10)\) |
| Googolswarm | E110 | 10110 | \(f_2(357)\) | \(H_{\omega^2}(357)\) | \(g_{\omega^{\omega^2+\omega}}(10)\) |
| Hexadecimal-googol | 16^100 | ~2.582250*10120 | \(f_2(391)\) | \(H_{\omega^2}(391)\) | \(g_{\omega^{\omega^2+\omega\times2}\times3}(10)\) |
| Vigesimal-googol | 20^100 | ~1.267651*10130 | \(f_2(423)\) | \(H_{\omega^2}(423)\) | \(g_{\omega^{\omega^2+\omega\times3}}(10)\) |
| Sexagesimal-ogol | 60^80 | ~1.786899*10142 | \(f_2(464)\) | \(H_{\omega^2}(464)\) | \(g_{\omega^{\omega^2+\omega\times4+2}\times2}(10)\) |
| Binary-googolding, Binary-gogolchime | 2^500 | ~3.273391*10150 | \(f_2(491)\) | \(H_{\omega^2}(491)\) | \(g_{\omega^{\omega^2+\omega\times5}\times3}(10)\) |
| Sexagesimal-googol | 60^100 | ~6.533186*10177 | \(f_2(581)\) | \(H_{\omega^2}(581)\) | \(g_{\omega^{\omega^2+\omega\times7+7}\times6}(10)\) |
| Octal-guppychime | 8^200=2^600 | ~4.149516*10180 | \(f_2(591)\) | \(H_{\omega^2}(591)\) | \(g_{\omega^{\omega^2+\omega\times8}\times4}(10)\) |
| Guppychime | E200 | 10200 | \(f_2(655)\) | \(H_{\omega^2}(655)\) | \(g_{\omega^{\omega^2\times2}}(10)\) |
| Octal-gogolding | 8^250=2^750 | ~5.922387*10225 | \(f_2(740)\) | \(H_{\omega^2}(740)\) | \(g_{\omega^{\omega^2\times2+\omega\times2+5}\times6}(10)\) |
| Gogolding | E250 | 10250 | \(f_2(821)\) | \(H_{\omega^2}(821)\) | \(g_{\omega^{\omega^2\times2+\omega\times5}}(10)\) |
| Ecetonspeck | E293 | 10293 | \(f_2(963)\) | \(H_{\omega^2}(963)\) | \(g_{\omega^{\omega^2\times2+\omega\times9+3}}(10)\) |
| Ecetoncrumb | E298 | 10298 | \(f_2(980)\) | \(H_{\omega^2}(980)\) | \(g_{\omega^{\omega^2\times2+\omega\times9+8}}(10)\) |
| Binary-googolchime | 2^1000 | ~1.071509*10301 | \(f_2(990)\) | \(H_{\omega^2}(990)\) | \(g_{\omega^{\omega^2\times3+1}}(10)\) |
| Ecetonchunk | E302 | 10302 | \(f_2(993)\) | \(H_{\omega^2}(993)\) | \(g_{\omega^{\omega^2\times3+2}}(10)\) |
| Ecetonbunch | E304 | 10304 | \(f_2(1000)\) | \(H_{\omega^2}(1000)\) | \(g_{\omega^{\omega^2\times3+4}}(10)\) |
| Ecetoncrowd | E308 | 10308 | \(f_2(1013)\) | \(H_{\omega^2}(1013)\) | \(g_{\omega^{\omega^2\times3+8}}(10)\) |
| Ecetonswarm | E313 | 10313 | \(f_2(1030)\) | \(H_{\omega^2}(1030)\) | \(g_{\omega^{\omega^2\times3+\omega+3}}(10)\) |
| Ogolding | E400 | 10400 | \(f_2(1318)\) | \(H_{\omega^2}(1318)\) | \(g_{\omega^{\omega^2\times4}}(10)\) |
| Octal-googolding, Octal-gogolchime | 8^500=2^1500 | ~3.507466*10451 | \(f_2(1489)\) | \(H_{\omega^2}(1489)\) | \(g_{\omega^{\omega^2\times4+\omega\times5+1}\times4}(10)\) |
| Gogolchime, Googolding | E500 | 10500 | \(f_2(1650)\) | \(H_{\omega^2}(1650)\) | \(g_{\omega^{\omega^2\times5}}(10)\) |
| Ogolchime | E800 | 10800 | \(f^2_2(8)\) | \(H_{\omega^2\times2}(8)\) | \(g_{\omega^{\omega^2\times8}}(10)\) |
| Octal-googolchime | 8^1000=2^3000 | ~1.230232*10963 | \(f^2_2(8)\) | \(H_{\omega^2\times2}(8)\) | \(g_{\omega^{\omega^2\times9+\omega\times6+3}}(10)\) |
| Googolchime, Guppybell | E1000 | 101000 | \(f^2_2(8)\) | \(H_{\omega^2\times2}(8)\) | \(g_{\omega^{\omega^3}}(10)\) |
| Ecetonding | E1515 | 101515 | \(f^2_2(9)\) | \(H_{\omega^2\times2}(9)\) | \(g_{\omega^{\omega^3+\omega^2\times5+\omega+5}}(10)\) |
| Guppytoll | E2000 | 102000 | \(f^2_2(9)\) | \(H_{\omega^2\times2}(9)\) | \(g_{\omega^{\omega^3\times2}}(10)\) |
| Gogolbell | E2500 | 102500 | \(f^2_2(9)\) | \(H_{\omega^2\times2}(9)\) | \(g_{\omega^{\omega^3\times2+\omega^2\times5}}(10)\) |
| Ecetonchime | E3030 | 103030 | \(f^2_2(9)\) | \(H_{\omega^2\times2}(9)\) | \(g_{\omega^{\omega^3\times3+\omega\times3}}(10)\) |
| Ogolbell | E4000 | 104000 | \(f^2_2(10)\) | \(H_{\omega^2\times2}(10)\) | \(g_{\omega^{\omega^3\times4}}(19)\) |
| Googolbell, Gogoltoll | E5000 | 105000 | \(f^2_2(10)\) | \(H_{\omega^2\times2}(10)\) | \(g_{\omega^{\omega^3\times5}}(10)\) |
| Ogoltoll | E8000 | 108000 | \(f^2_2(11)\) | \(H_{\omega^2\times2}(11)\) | \(g_{\omega^{\omega^3\times8}}(10)\) |
| Googoltoll | E10,000 | 1010,000 | \(f^2_2(11)\) | \(H_{\omega^2\times2}(11)\) | \(g_{\omega^{\omega^4}}(10)\) |
| Ecetonbell | E15,150 | 1015,150 | \(f^2_2(12)\) | \(H_{\omega^2\times2}(12)\) | \(g_{\omega^{\omega^4+\omega^3\times5+\omega^2+\omega+5}}(10)\) |
| Guppygong | E20,000 | 1020,000 | \(f^2_2(12)\) | \(H_{\omega^2\times2}(12)\) | \(g_{\omega^{\omega^4\times2}}(10)\) |
| Ecetontoll | E30,300 | 1030,300 | \(f^2_2(12)\) | \(H_{\omega^2\times2}(12)\) | \(g_{\omega^{\omega^4\times3+\omega^2\times3}}(10)\) |
| Gogolgong | E50,000 | 1050,000 | \(f^2_2(13)\) | \(H_{\omega^2\times2}(13)\) | \(g_{\omega^{\omega^4\times5}}(10)\) |
| Ogolgong | E80,000 | 1080,000 | \(f^2_2(14)\) | \(H_{\omega^2\times2}(14)\) | \(g_{\omega^{\omega^4\times8}}(10)\) |
| Googolgong | E100,000 | 10100,000 | \(f^2_2(14)\) | \(H_{\omega^2\times2}(14)\) | \(g_{\omega^{\omega^5}}(10)\) |
| Ecetongong | E303,000 | 10303,000 | \(f^2_2(15)\) | \(H_{\omega^2\times2}(15)\) | \(g_{\omega^{\omega^5\times3+\omega^3\times3}}(10)\) |
| Milliplexion | E6#2 | \(10^{10^6}\) | \(f^2_2(17)\) | \(H_{\omega^2\times2}(17)\) | \(g_{\omega^{\omega^6}}(10)\) |
| Guppybong | E20,000,000 | \(10^{2\times10^7}\) | \(f^2_2(21)\) | \(H_{\omega^2\times2}(21)\) | \(g_{\omega^{\omega^7\times2}}(10)\) |
| Gogolbong | E50,000,000 | \(10^{5\times10^7}\) | \(f^2_2(22)\) | \(H_{\omega^2\times2}(22)\) | \(g_{\omega^{\omega^7\times5}}(10)\) |
| Ogolbong | E80,000,000 | \(10^{8\times10^7}\) | \(f^2_2(23)\) | \(H_{\omega^2\times2}(23)\) | \(g_{\omega^{\omega^7\times8}}(10)\) |
| Googolbong | E100,000,000 | \(10^{10^8}\) | \(f^2_2(23)\) | \(H_{\omega^2\times2}(23)\) | \(g_{\omega^{\omega^8}}(10)\) |
| Ecetonbong | E303,000,000 | \(10^{3.03\times10^8}\) | \(f^2_2(25)\) | \(H_{\omega^2\times2}(25)\) | \(g_{\omega^{\omega^8\times3+\omega^6\times3}}(10)\) |
| Billiplexion | E9#2 | \(10^{10^9}\) | \(f^2_2(26)\) | \(H_{\omega^2\times2}(26)\) | \(g_{\omega^{\omega^9}}(10)\) |
| Trialogue | E1#3 | \(10^{10^{10}}\) | \(f^2_2(30)\) | \(H_{\omega^2\times2}(30)\) | \(g_{\omega^{\omega^\omega}}(10)\) |
| Guppythrong | E20,000,000,000 | \(10^{2\times10^{10}}\) | \(g_{\omega^{\omega^\omega\times2}}(10)\) | ||
| Gogolthrong | E50,000,000,000 | \(10^{5\times10^{10}}\) | \(g_{\omega^{\omega^\omega\times5}}(10)\) | ||
| Oogolthrong | E80,000,000,000 | \(10^{8\times10^{10}}\) | \(g_{\omega^{\omega^\omega\times8}}(10)\) | ||
| Googolthrong | E100,000,000,000 | \(10^{10^{11}}\) | \(g_{\omega^{\omega^{\omega+1}}}(10)\) | ||
| Ecetonthrong | E303,000,000,000 | \(10^{3.03\times10^{11}}\) | \(g_{\omega^{\omega^{\omega+1}\times3+\omega^9\times3}}(10)\) | ||
| Trilliplexion | E12#2 | \(10^{10^{12}}\) | \(g_{\omega^{\omega^{\omega+2}}}(10)\) | ||
| Guppygandingan | E20,000,000,000,000 | \(10^{2\times10^{13}}\) | \(g_{\omega^{\omega^{\omega+3}\times2}}(10)\) | ||
| Gogolgandingan | E50,000,000,000,000 | \(10^{5\times10^{13}}\) | \(g_{\omega^{\omega^{\omega+3}\times5}}(10)\) | ||
| Ogolgandingan | E80,000,000,000,000 | \(10^{8\times10^{13}}\) | \(g_{\omega^{\omega^{\omega+3}\times8}}(10)\) | ||
| Googolgandingan,Googolquadrigong | E100,000,000,000,000 | \(10^{10^{14}}\) | \(g_{\omega^{\omega^{\omega+4}}}(10)\) | ||
| Ecetongandingan | E303,000,000,000,000 | \(10^{3.03\times10^{14}}\) | \(g_{\omega^{\omega^{\omega+4}\times3+\omega^{\omega+2}\times3}}(10)\) | ||
| Googolquintigong | EE17 | \(10^{10^{17}}\) | \(g_{\omega^{\omega^{\omega+7}}}(10)\) | ||
| Googolsextigong, Guppyplex | EE20 | \(10^{10^{20}}\) | \(g_{\omega^{\omega^{\omega\times2}}}(10)\) | ||
| Googolseptigong | EE23 | \(10^{10^{23}}\) | \(g_{\omega^{\omega^{\omega\times2+3}}}(10)\) | ||
| Googoloctigong | EE26 | \(10^{10^{26}}\) | \(g_{\omega^{\omega^{\omega\times2+6}}}(10)\) | ||
| Googolnonigong | EE29 | \(10^{10^{29}}\) | \(g_{\omega^{\omega^{\omega\times2+9}}}(10)\) | ||
| Googolplexibit | E(2)100#2 | \(\approx 10^{3.816009\times10^{29}}\) | |||
| Googoldecigong | EE32 | \(10^{10^{32}}\) | \(g_{\omega^{\omega^{\omega\times3+2}}}(10)\) | ||
| Googol-undecigong | EE35 | \(10^{10^{35}}\) | \(g_{\omega^{\omega^{\omega\times3+5}}}(10)\) | ||
| Googol-duodecigong | EE38 | \(10^{10^{38}}\) | \(g_{\omega^{\omega^{\omega\times3+8}}}(10)\) | ||
| Googol-tredecigong | EE41 | \(10^{10^{41}}\) | \(g_{\omega^{\omega^{\omega\times4+1}}}(10)\) | ||
| Googol-quattuordecigong | EE44 | \(10^{10^{44}}\) | \(g_{\omega^{\omega^{\omega\times4+4}}}(10)\) | ||
| Googol-quindecigong | EE47 | \(10^{10^{47}}\) | \(g_{\omega^{\omega^{\omega\times4+7}}}(10)\) | ||
| Googol-sexdecigong, Gogolduplex | EE50 | \(10^{10^{50}}\) | \(g_{\omega^{\omega^{\omega\times5}}}(10)\) | ||
| Googol-septendecigong | EE53 | \(10^{10^{53}}\) | \(g_{\omega^{\omega^{\omega\times5+3}}}(10)\) | ||
| Googol-octodecigong | EE56 | \(10^{10^{56}}\) | \(g_{\omega^{\omega^{\omega\times5+6}}}(10)\) | ||
| Googol-novemdecigong | EE59 | \(10^{10^{59}}\) | \(g_{\omega^{\omega^{\omega\times5+9}}}(10)\) | ||
| Googolvigintigong | EE62 | \(10^{10^{62}}\) | \(g_{\omega^{\omega^{\omega\times6+2}}}(10)\) | ||
| Googoltrigintigong | EE92 | \(10^{10^{92}}\) | \(g_{\omega^{\omega^{\omega\times9+2}}}(10)\) | ||
| Googolquadragintigong | EE122 | \(10^{10^{122}}\) | \(g_{\omega^{\omega^{\omega^2+\omega\times2+2}}}(10)\) | ||
| Googolquinquagintigong | EE152 | \(10^{10^{152}}\) | \(g_{\omega^{\omega^{\omega^2+\omega\times5+2}}}(10)\) | ||
| Googolsexagintigong | EE182 | \(10^{10^{182}}\) | \(g_{\omega^{\omega^{\omega^2+\omega\times8+2}}}(10)\) | ||
| Googolseptuagintigong | EE212 | \(10^{10^{212}}\) | \(g_{\omega^{\omega^{\omega^2\times2+\omega+2}}}(10)\) | ||
| Googoloctogintigong | EE242 | \(10^{10^{242}}\) | \(g_{\omega^{\omega^{\omega^2\times2+\omega\times4+2}}}(10)\) | ||
| Googolnonigintigong | EE272 | \(10^{10^{272}}\) | \(g_{\omega^{\omega^{\omega^2\times2+\omega\times7+2}}}(10)\) | ||
| Googolcentigong | EE302 | \(10^{10^{302}}\) | \(g_{\omega^{\omega^{\omega^2\times3+2}}}(10)\) | ||
| Googolmilligong | EE3002 | \(10^{10^{3002}}\) | \(g_{\omega^{\omega^{\omega^3\times3+2}}}(10)\) | ||
| Milliduplexion | E6#3 | \(10^{10^{1,000,000}}\) | \(g_{\omega^{\omega^{\omega^6}}}(10)\) | ||
| Googolmilli-milligong | EE3,000,002 | \(10^{10^{3,000,002}}\) | \(g_{\omega^{\omega^{\omega^6\times3+2}}}(10)\) | ||
| Billiduplexion | E9#3 | \(10^{10^{10^9}}\) | \(g_{\omega^{\omega^{\omega^9}}}(10)\) | ||
| Tetralogue | E1#4 | \(10^{10^{10^{10}}}\) | \(g_{\omega^{\omega^{\omega^\omega}}}(10)\) | ||
| Trilliduplexion | E12#3 | \(10^{10^{10^{12}}}\) | \(g_{\omega^{\omega^{\omega^{\omega+2}}}}(10)\) | ||
| Guppyduplex | EEE20 | \(10^{10^{10^{20}}}\) | \(g_{\omega^{\omega^{\omega^{\omega\times2}}}}(10)\) | ||
| Googolduplexibit | E(2)100#3 | \(\approx10^{10^{3.816009\times10^{29}}}\) | \(g_{\omega^{\omega^{\omega^{\omega\times3}}}}(10)\) | ||
| Gogolduplex | E50#3 | \(10^{10^{10^{50}}}\) | \(g_{\omega^{\omega^{\omega^{\omega\times5}}}}(10)\) | ||
| Millitriplexion | E6#4 | \(10^{10^{10^{10^6}}}\) | \(g_{\omega^{\omega^{\omega^{\omega^6}}}}(10)\) | ||
| Billitriplexion | E9#4 | \(10^{10^{10^{10^9}}}\) | \(g_{\omega^{\omega^{\omega^{\omega^9}}}}(10)\) | ||
| Pentalogue | E1#5 | \(10^{10^{10^{10^{10}}}}\) | \(g_{\omega^{\omega^{\omega^{\omega^\omega}}}}(10)\) | ||
| Trillitriplexion | E12#4 | \(10^{10^{10^{10^{12}}}}\) | \(g_{\omega^{\omega^{\omega^{\omega^{\omega+2}}}}}(10)\) | ||
| Guppytriplex | EEEE20 | \(10^{10^{10^{10^{20}}}}\) | \(g_{\omega^{\omega^{\omega^{\omega^{\omega\times2}}}}}(10)\) | ||
| Googoltriplexibit | E(2)100#4 | \(\approx10^{10^{10^{3.816009\times10^{29}}}}\) | \(g_{\omega^{\omega^{\omega^{\omega^{\omega\times3}}}}}(10)\) | ||
| Gogoltriplex | E50#4 | \(10^{10^{10^{10^{50}}}}\) | \(g_{\omega^{\omega^{\omega^{\omega^{\omega\times5}}}}}(10)\) | ||
| Hexalogue | E1#6 | \(10^{10^{10^{10^{10^{10}}}}}\) | \(g_{\omega^{\omega^{\omega^{\omega^{\omega^\omega}}}}}(10)\) | ||
| Guppyquadriplex | EEEEE20 | \(10^{10^{10^{10^{10^{20}}}}}\) | \(g_{\omega^{\omega^{\omega^{\omega^{\omega^{\omega\times2}}}}}}(10)\) | ||
| Googolquadriplexibit | E(2)100#5 | \(\approx10^{10^{10^{10^{3.816009\times10^{29}}}}}\) | \(g_{\omega^{\omega^{\omega^{\omega^{\omega^{\omega\times3}}}}}}(10)\) | ||
| Heptalogue | E1#7 | \(10\uparrow\uparrow7\) | \(g_{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^\omega}}}}}}(10)\) | ||
| Guppyquintiplex | EEEEEE20 | \(g_{\omega\uparrow\uparrow7}(10)\) | |||
| Googolquintiplexibit | E(2)100#6 | ||||
| Octalogue | E1#8 | \(10\uparrow\uparrow8\) | |||
| Guppysextiplex | E20#7 | \(g_{\omega\uparrow\uparrow8}(10)\) | |||
| Googolsextiplexibit | E(2)100#7 | ||||
| Ennalogue | E1#9 | \(10\uparrow\uparrow9\) | |||
| Guppyseptiplex | E20#8 | \(g_{\omega\uparrow\uparrow9}(10)\) | |||
| Googolseptiplexibit | E(2)100#8 | ||||
| Dekalogue | E1#10 | \(10\uparrow\uparrow10\) | |||
| Guppyoctiplex | E20#9 | \(g_{\varepsilon_0}(10)\) | |||
| Googoloctiplexibit | E(2)100#9 | ||||
| Endekalogue | E1#1 | \(10\uparrow\uparrow11\) | |||
| Guppynoniplex | E20#10 | \(g_{\varepsilon_0^{\varepsilon_0}}(10)\) | |||
| Googolnoniplexibit | E(2)100#10 | ||||
| Dodekalogue | E1#12 | \(10\uparrow\uparrow12\) | |||
| Guppydeciplex | E20#11 | \(g_{\varepsilon_0\uparrow\uparrow3}(10)\) | |||
| Googoldeciplexibit | E(2)100#11 | ||||
| Triadekalogue | E1#13 | \(10\uparrow\uparrow13\) | |||
| Tetradekalogue | E1#14 | \(10\uparrow\uparrow14\) | |||
| Pentadekalogue | E1#15 | \(10\uparrow\uparrow15\) | |||
| Hexadekalogue | E1#16 | \(10\uparrow\uparrow16\) | |||
| Heptadekalogue | E1#17 | \(10\uparrow\uparrow17\) | |||
| Octadekalogue | E1#18 | \(10\uparrow\uparrow18\) | |||
| Ennadekalogue | E1#19 | \(10\uparrow\uparrow19\) | |||
| Icosalogue | E1#20 | \(10\uparrow\uparrow20\) | |||
| Guppyvigintiplex | E20#21 | \(g_{\varepsilon_1\uparrow\uparrow3}(10)\) | |||
| Googolvigintiplexibit | E(2)100#21 | ||||
| Triantalogue | E1#30 | \(10\uparrow\uparrow30\) | |||
| Guppytrigintiplex | E20#31 | \(g_{\varepsilon_2\uparrow\uparrow3}(10)\) | |||
| Googolrtigintiplexibit | E(2)100#31 | ||||
| Terantalogue | E1#40 | \(10\uparrow\uparrow40\) | |||
| Guppyquadragintiplex | E20#41 | \(g_{\varepsilon_3\uparrow\uparrow3}(10)\) | |||
| Googolquadragintiplexibit | E(2)100#41 | ||||
| Penantalogue | E1#50 | \(10\uparrow\uparrow50\) | |||
| Guppyquinquagintiplex | E20#51 | \(g_{\varepsilon_4\uparrow\uparrow3}(10)\) | |||
| Googolquinquagintiplexibit | E(2)100#51 | ||||
| Exatalogue | E1#60 | \(10\uparrow\uparrow60\) | |||
| Guppysexagintiplex | E20#61 | \(g_{\varepsilon_5\uparrow\uparrow3}(10)\) | |||
| Googolsexagintiplexibit | E(2)100#61 | ||||
| Eptatalogue | E1#70 | \(10\uparrow\uparrow70\) | |||
| Guppyseptuagintiplex | E20#71 | \(g_{\varepsilon_6\uparrow\uparrow3}(10)\) | |||
| Googolseptuagintiplexibit | E(2)100#71 | ||||
| Ogdatalogue | E1#80 | \(10\uparrow\uparrow80\) | |||
| Guppyoctogintiplex | E20#81 | \(g_{\varepsilon_7\uparrow\uparrow3}(10)\) | |||
| Googoloctogintiplexibit | E(2)100#81 | ||||
| Entataogue | E1#90 | \(10\uparrow\uparrow90\) | |||
| Guppynovagintiplex | E20#91 | \(g_{\varepsilon_8\uparrow\uparrow3}(10)\) | |||
| Googolnovagintiplexibit | E(2)100#91 | ||||
| Hectalogue | E1#100 | \(10\uparrow\uparrow100\) | |||
| Guppycentiplex | E20#101 | \(g_{\varepsilon_9\uparrow\uparrow3}(10)\) | |||
| Googolcentiplexibit | E(2)100#101 | ||||
| Chilialogue | E1#1000 | \(10\uparrow\uparrow1000\) | |||
| Guppymilliplex | E20#1001 | \(g_{\varepsilon_{\omega^2}\uparrow\uparrow3}(10)\) | |||
| Googolmilliplexibit | E(2)100#1001 | ||||
| Myrialogue | E1#10,000 | \(10\uparrow\uparrow10,000\) | |||
| Chilia-chilialogue | E1#1,000,000 | \(10\uparrow\uparrow10^6\) | |||
| Guppymilli-milliplex | E20#1,000,001 | \(g_{\varepsilon_{\omega^5}\uparrow\uparrow3}(10)\) | |||
| Googolmilli-milliiplexibit | E(2)100#1,000,001 | ||||
| Chilia-myrialogue | E1#10,000,000 | \(10\uparrow\uparrow10^7\) | |||
| Myria-myrialogue, Octadalogue | E1#100,000,000 | \(10\uparrow\uparrow10^8\) | |||
| Sedeniadalogue | E1#10,000,000,000,000,000 | \(10\uparrow\uparrow10^{16}\) | |||
Sources
- ↑ Sbiis Saibian, Hyper-E Numbers - Large Numbers
Saibian's regiments
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