Tribute to Pitt07

By scoptile :: Friday February 24th, 2012

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You can help by expanding it with reliably sourced entries. This is a list of articles about numbers (not about numerals). Contents [hide] 1 Rational numbers 1.1 Natural numbers 1.2 Powers of ten (scientific notation) 1.3 Integers 1.3.1 Notable integers 1.3.2 Named integers 1.4 Prime numbers 1.5 Perfect numbers 1.6 Cardinal numbers 1.6.1 Small numbers 1.6.2 English names for powers of 10 1.6.3 Proposed systematic names for powers of 10 1.6.3.1 Myriad system 1.6.3.2 SI-derived 1.7 Fractional numbers 2 Irrational and suspected irrational numbers 2.1 Algebraic numbers 2.2 Transcendental numbers 2.2.1 Suspected transcendentals 2.3 Numbers not known with high precision 3 Hypercomplex numbers 3.1 Algebraic complex numbers 3.2 Other hypercomplex numbers 4 Transfinite numbers 5 Numbers representing measured quantities 6 Numbers representing scientific quantities 7 Numbers without specific values 8 See also 9 Notes 10 Further reading 11 External links [edit] Rational numbers Main article: Rational number [edit] Natural numbers Main article: Natural number 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 220 230 240 250 260 270 280 290 300 400 500 600 700 800 900 1000 2000 3000 4000 5000 6000 7000 8000 9000 10000 20000 30000 40000 50000 60000 70000 80000 90000 100k–1M 1M–10M 10M–100M 100M–1G 1G–10G 10G–100G 100G–1000G Larger numbers [edit] Powers of ten (scientific notation) Main article: Orders of magnitude (numbers) [edit] Integers Main article: Integer [edit] Notable integers Other numbers that are notable for their mathematical properties or cultural meanings include: −40, the equal point in the Fahrenheit and Celsius scales. −1 0, a number which quantifies a count or an amount of null size. 1 2, the smallest prime number and the only even prime. 6, the smallest perfect number. 42, "the Answer to the Ultimate Question of Life, the Universe, and Everything" according to the Hitchhikers Guide to the Galaxy 255, 28−1 496, a perfect number. 786, regarded as sacred in the Muslim Abjad numerology. 1729, a taxicab number; the smallest positive integer that can be written as the sum of two positive cubes in two different ways 65535, 216-1, the maximum number that a 16-bit unsigned integer can reach. 142857, the smallest base 10 cyclic number. 2147483647, 231−1, the maximum number that a 32-bit signed integer can reach. 9814072356, the largest perfect power that contains no repeated digits in base ten. [edit] Named integers Googol and googolplex Graham's number Moser's number Shannon number Hardy–Ramanujan number Skewes' number Number of the Beast Leviathan number Kaprekar's constant [edit] Prime numbers Main article: Prime numbers A prime number is a positive integer which has exactly two divisors: one and itself. The first 100 prime numbers: 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97 101 103 107 109 113 127 131 137 139 149 151 157 163 167 173 179 181 191 193 197 199 211 223 227 229 233 239 241 251 257 263 269 271 277 281 283 293 307 311 313 317 331 337 347 349 353 359 367 373 379 383 389 397 401 409 419 421 431 433 439 443 449 457 461 463 467 479 487 491 499 503 509 521 523 541 [edit] Perfect numbers Main article: Perfect number A perfect number is an integer that is the sum of its positive proper divisors (all divisors except itself). The first 10 perfect numbers: 1 6 2 28 3 496 4 8 128 5 33 550 336 6 8 589 869 056 7 137 438 691 328 8 2 305 843 008 139 952 128 9 2 658 455 991 569 831 744 654 692 615 953 842 176 10 191 561 942 608 236 107 294 793 378 084 303 638 130 997 321 548 169 216 [edit] Cardinal numbers Main article: cardinal number In the following tables, [and] indicates that the word and is used in some dialects (such as British English), and omitted in other dialects (such as American English). [edit] Small numbers This table demonstrates the standard English construction of small cardinal numbers up to one hundred million—names for which all variants of English agree. Value Name Alternate names, and names for sets of the given size 0 Zero aught, cipher, cypher, goose egg, love, nada, naught, nil, none, nought, nowt, null, ought, oh, squat, zed, zilch, zip 1 One ace, individual, single, singleton, unary, unit, unity 2 Two binary, brace, couple, couplet, distich, deuce, double, doubleton, duad, duality, duet, duo, dyad, pair, span, twain, twosome, yoke 3 Three deuce-ace, leash, set, tercet, ternary, ternion, terzetto, threesome, tierce, trey, triad, trine, trinity, trio, triplet, troika, hat-trick 4 Four foursome, quadruplet, quatern, quaternary, quaternion, quaternity, quartet, tetrad 5 Five cinque, fin, fivesome, pentad, quint, quintet, quintuplet 6 Six half dozen, hexad, sestet, bleeptet, bleeptuplet, sise 7 Seven heptad, septet, septuple 8 Eight octad, octave, octet, octonary, octuplet, ogdoad 9 Nine ennead 10 Ten deca, decade 11 Eleven onze, ounze, ounce 12 Twelve dozen 13 Thirteen baker's dozen, long dozen[1] 14 Fourteen 15 Fifteen 16 Sixteen 17 Seventeen 18 Eighteen 19 Nineteen 20 Twenty score 21 Twenty-one long score[1] 22 Twenty-two Deuce-deuce 23 Twenty-three 24 Twenty-four two dozen 25 Twenty-five 26 Twenty-six 27 Twenty-seven 28 Twenty-eight 29 Twenty-nine 30 Thirty 31 Thirty-one 40 Forty 50 Fifty half-century 60 Sixty three-score 70 Seventy three-score and ten 80 Eighty four-score 87 Eighty-seven four-score and seven 90 Ninety 100 One hundred centred, century, ton, short hundred 101 One hundred [and] one 110 One hundred [and] ten 111 One hundred [and] eleven 120 One hundred [and] twenty long hundred,[1] great hundred, (obsolete) hundred 121 One hundred [and] twenty-one 144 One hundred [and] forty-four gross, dozen dozen, small gross 169 One hundred [and] sixty-nine baker's gross[citation needed] 200 Two hundred 300 Three hundred 666 Six Hundred [and] sixty-six Number of the Beast 1 000 One thousand chiliad, grand, G, thou, yard, kilo, k 1 001 One thousand [and] one 1 010 One thousand [and] ten 1 011 One thousand [and] eleven 1 024 One thousand [and] twenty-four kibi or kilo in computing, see binary prefix (kilo is shortened to K, Kibi to Ki) 1 100 One thousand one hundred Eleven hundred 1 101 One thousand one hundred [and] one 1 728 One thousand seven hundred [and] twenty-eight great gross, long gross, dozen gross 2 000 Two thousand 10 000 Ten thousand myriad, wan (China) 100 000 One hundred thousand lakh 500 000 Five hundred thousand crore (Iranian) 1 000 000 One million Mega, meg, mil, (often shortened to M) 1 048 576 One million forty-eight thousand five hundred [and] seventy-six Mibi or Mega in computing, see binary prefix (Mega is shortened to M, Mibi to Mi) 10 000 000 Ten million crore (Bhartia) 100 000 000 One hundred million yi (China) [edit] English names for powers of 10 This table compares the English names of cardinal numbers according to various American, British, and Continental European conventions. See English numerals or names of large numbers for more information on naming numbers. Short scale Long scale Power Value American British (Nicolas Chuquet) Continental European (Jacques Peletier du Mans) of a thousand of a million 100 One 1000−1 1 10000000 101 Ten 102 Hundred 103 Thousand 10000 1 10000000.5 106 Million 10001 1 10000001 109 Billion Thousand million Milliard 10002 1 10000001.5 1012 Trillion Billion 10003 1 10000002 1015 Quadrillion Thousand billion Billiard 10004 1 10000002.5 1018 Quintillion Trillion 10005 1 10000003 1021 bleeptillion Thousand trillion Trilliard 10006 1 10000003.5 1024 Septillion Quadrillion 10007 1 10000004 1027 Octillion Thousand quadrillion Quadrilliard 10008 1 10000004.5 1030 Nonillion Quintillion 10009 1 10000005 1033 Decillion Thousand quintillion Quintilliard 100010 1 10000005.5 1036 Undecillion bleeptillion 100011 1 10000006 1039 Duodecillion Thousand bleeptillion bleeptilliard 100012 1 10000006.5 1042 Tredecillion Septillion 100013 1 10000007 1045 Quattuordecillion Thousand septillion Septilliard 100014 1 10000007.5 1048 Quindecillion Octillion 100015 1 10000008 1051 bleepdecillion Thousand octillion Octilliard 100016 1 10000008.5 1054 Septendecillion Nonillion 100017 1 10000009 1057 Octodecillion Thousand nonillion Nonilliard 100018 1 10000009.5 1060 Novemdecillion Decillion 100019 1 100000010 1063 Vigintillion Thousand decillion Decilliard 100020 1 100000010.5 1066 Unvigintillion Undecillion 100021 1 100000011 1069 Duovigintillion Thousand undecillion Undecilliard 100022 1 100000011.5 1072 Trevigintillion Duodecillion 100023 1 100000012 1075 Quattuorvigintillion ... ... 100024 1 100000012.5 ... ... ... ... ... 1093 Trigintillion Thousand quindecillion Quindecilliard 100030 1 100000015.5 ... ... ... ... ... 10120 Novemtrigintillion Vigintillion 100039 1 100000020 10123 Quadragintillion Thousand vigintillion Vigintilliard 100040 1 100000020.5 ... ... ... ... ... 10153 Quinquagintillion Thousand quinvigintillion Quinvigintilliard 100050 1 100000025.5 ... ... ... ... ... 10180 Novemquinquagintillion Trigintillion 100059 1 100000030 10183 bleepagintillion Thousand trigintillion Trigintilliard 100060 1 100000030.5 ... ... ... ... ... 10213 Septuagintillion Thousand quintrigintillion Quintrigintilliard 100070 1 100000035.5 ... ... ... ... ... 10240 Novemseptuagintillion Quadragintillion 100079 1 100000040 10243 Octogintillion Thousand quadragintillion Quadragintilliard 100080 1 100000040.5 ... ... ... ... ... 10273 Nonagintillion Thousand quinquadragintillion Quinquadragintilliard 100090 1 100000045.5 ... ... ... ... ... 10300 Novemnonagintillion Quinquagintillion 100099 1 100000050 10303 Centillion Thousand quinquagintillion Quinquagintilliard 1000100 1 100000050.5 ... ... ... ... 10360 bleepagintillion 1000119 1 100000060 10420 Septuagintillion 1000139 1 100000070 10480 Octogintillion 1000159 1 100000080 10540 Nonagintillion 1000179 1 100000090 10600 Centillion 1000199 1 1000000100 10603 Ducentillion Thousand Centillion Centilliard 1000200 1 1000000100.5 There is no consistent and widely accepted way to extend cardinals beyond centillion (centilliard). [edit] Proposed systematic names for powers of 10 It has been suggested that this article or section be merged with Names of large numbers. (Discuss) Proposed since May 2009. [edit] Myriad system Proposed by Donald E. Knuth: Value Name Notation 100 One 1 101 Ten 10 102 Hundred 100 103 Ten hundred 1000 104 Myriad 1,0000 105 Ten myriad 10,0000 106 Hundred myriad 100,0000 107 Ten hundred myriad 1000,0000 108 Myllion 1;0000,0000 1012 Myriad myllion 1,0000;0000,0000 1016 Byllion 1:0000,0000;0000,0000 1024 Myllion byllion 1;0000,0000:0000,0000;0000,0000 1032 Tryllion 1'0000,0000;0000,0000:0000,0000;0000,0000 1064 Quadryllion 1'0000,0000;0000,0000:0000,0000;0000,0000'0000,0000;0000,0000:0000,0000;0000,0000 10128 Quintyllion 10256 bleeptyllion 10512 Septyllion 101024 Octyllion 102048 Nonyllion 104096 Decyllion 108192 Undecyllion 1016,384 Duodecyllion 1032,768 Tredecyllion 1065,536 Quattuordecyllion 10131,072 Quindecyllion 10262,144 bleepdecyllion 10524,288 Septendecyllion 101,048,576 Octodecyllion 102,097,152 Novemdecyllion 104,194,304 Vigintyllion 108,388,608 Cafarolion 1016,777,216 Saralion {10}^{,! 4 cdot 2^{40}} Quadragintyllion {10}^{,! 4 cdot 2^{50}} Quinquagintyllion {10}^{,! 4 cdot 2^{60}} bleepagintyllion {10}^{,! 4 cdot 2^{70}} Septuagintyllion {10}^{,! 4 cdot 2^{80}} Octogintyllion {10}^{,! 4 cdot 2^{90}} Nonagintyllion {10}^{,! 4 cdot 2^{100}} Centyllion {10}^{,! 4 cdot 2^{1000}} Millyllion {10}^{,! 4 cdot 2^{10000}} Myryllion [edit] SI-derived Value 1000m SI prefix Name Binary prefix 1024m=210m Value 1 000 10001 k Kilo Ki 10241 1 024 1 000 000 10002 M Mega Mi 10242 1 048 576 1 000 000 000 10003 G Giga Gi 10243 1 073 741 824 1 000 000 000 000 10004 T Tera Ti 10244 1 099 511 627 776 1 000 000 000 000 000 10005 P Peta Pi 10245 1 125 899 906 842 624 1 000 000 000 000 000 000 10006 E Exa Ei 10246 1 152 921 504 606 846 976 1 000 000 000 000 000 000 000 10007 Z Zetta Zi 10247 1 180 591 620 717 411 303 424 1 000 000 000 000 000 000 000 000 10008 Y Yotta Yi 10248 1 208 925 819 614 629 174 706 176 [edit] Fractional numbers Main article: Fraction (mathematics) This is a table of English names for positive rational numbers less than or equal to 1. It also lists alternative names, but there is no widespread convention for the names of extremely small positive numbers. Keep in mind that rational numbers like 0.12 can be represented in infinitely many ways, e.g. zero-point-one-two (0.12), twelve percent (12%), three twenty-fifths left({3 over 25}right), nine seventy-fifths left({9 over 75} right), six fiftieths left({6 over 50}right), twelve hundredths left({12 over 100}right), twenty-four two-hundredths left({24 over 200}right), etc. Value Fraction Common names Alternative names 1 1 over 1 One 0.999... 0.9 9 over 10 Nine tenths, [zero] point nine 0.8 4 over 5 Four fifths, eight tenths, [zero] point eight 0.7 7 over 10 Seven tenths, [zero] point seven 0.6 3 over 5 Three fifths, six tenths, [zero] point six 0.5 1 over 2 One half, five tenths, [zero] point five 0.4 2 over 5 Two fifths, four tenths, [zero] point four 0.3 (333 333)... 1 over 3 One third 0.3 3 over 10 Three tenths, [zero] point three 0.25 1 over 4 One quarter, one fourth, twenty-five hundredths, [zero] point two five 0.2 1 over 5 One fifth, two tenths, [zero] point two 0.16 (666 666)... 1 over 6 One sixth 0.142 857 (142 857)... 1 over 7 One seventh 0.125 1 over 8 One eighth, one-hundred-[and-]twenty-five thousandths, [zero] point one two five 0.1 (111 111)... 1 over 9 One ninth 0.1 1 over 10 One tenth, [zero] point one One perdecime, one perdime 0.090 (909 090)... 1 over 11 One eleventh 0.09 9 over 100 Nine hundredths, [zero] point zero nine 0.083 (333 333)... 1 over 12 One twelfth 0.08 2 over 25 Two twenty-fifths, eight hundredths, [zero] point zero eight 0.0625 1 over 16 One sixteenth, six-hundred-[and-]twenty-five ten-thousandths, [zero] point zero six two five 0.05 1 over 20 One twentieth, [zero] point zero five 0.047 619 (047 619)... 1 over 21 One twenty-first 0.045 (454 545)... 1 over 22 One twenty-second 0.043 478 260 869 565 217 3913 (043 478)... 1 over 23 One twenty-third 0.03 (333 333)... 1 over 30 One thirtieth 0.016 (666 666)... 1 over 60 One sixtieth One minute 0.012345679 (012345679)... 1 over 81 One eighty-first 0.01 1 over 100 One hundredth, [zero] point zero one One percent 0.001 1 over 1000 One thousandth, [zero] point zero zero one One permille 0.000 27 (777 777)... 1 over 3600 One thirty-six hundredth One second 0.000 1 1 over 10000 One ten-thousandth, [zero] point zero zero zero one One myriadth, one permyria, one permyriad, one basis point 0.000 01 1 over 10^5 One hundred-thousandth One lakhth, one perlakh 0.000 001 1 over 10^6 One millionth One perion, one ppm 0.000 000 1 1 over 10^7 One ten-millionth One crorth, one percrore 0.000 000 01 1 over 10^8 One hundred-millionth One awkth, one perawk 0.000 000 001 1 over 10^9 One billionth (in some dialects) One ppb 0 0 over 1 Zero [edit] Irrational and suspected irrational numbers Main article: irrational number [edit] Algebraic numbers Main article: Algebraic number Expression Approximate value Notes frac{sqrt{3}}{4} 0.433 012 701 892 219 323 381 861 585 376 Area of a triangle with sides of length one and half its height. {sqrt{5} - 1} over 2 0.618 033 988 749 894 848 204 586 834 366 Golden ratio conjugate Phi,, reciprocal of and one less than the golden ratio. sqrt[12]{2} 1.059 463 094 359 295 264 561 825 294 946 Twelfth root of two. Proportion between the frequencies of adjacent semitones in the equal temperament scale. frac{3 sqrt{2}}{4} 1.060 660 171 779 821 286 601 266 543 157 The size of the cube that satisfies Prince Rupert's cube. sqrt[3]{2} 1.259 921 049 894 873 164 767 210 607 278 Cube root of two. Length of the edge of a cube with volume two. See doubling the cube for the significance of this number. n/a 1.303 577 269 034 296 391 257 099 112 153 Conway's constant, defined as the unique positive real root of a certain polynomial of degree 71. sqrt[3]{frac{1}{2} frac{1}{6}sqrt{frac{23}{3}}} sqrt[3]{frac{1}{2}-frac{1}{6}sqrt{frac{23}{3}}} 1.324 717 957 244 746 025 960 908 854 478 Plastic number, the unique real root of the cubic equation x^3=x 1, . sqrt{2} 1.414 213 562 373 095 048 801 688 724 210 sqrt{2} = 2 sin 45^circ = 2 cos 45^circ Square root of two a.k.a. Pythagoras' constant. Ratio of diagonal to side length in a square. Proportion between the sides of paper sizes in the ISO 216 series (originally DIN 476 series). frac{sqrt{17}-1}{2} 1.561 552 812 808 830 274 910 704 927 987 The Triangular root of 2. {sqrt{5} 1} over 2 1.618 033 988 749 894 848 204 586 834 366 Golden ratio left(phiright), the larger of the two real roots of x^2=x 1, . sqrt{3} 1.732 050 807 568 877 293 527 446 341 506 sqrt{3} = 2 sin 60^circ = 2 cos 30^circ Square root of three a.k.a. the measure of the fish. Length of the space diagonal of a cube with edge length 1. Length of the diagonal of a 1 times sqrt{2} rectangle. Altitude of an equilateral triangle with side length 2. Twice the altitude of an equilateral triangle with side length 1. Altitude of a regular hexagon with side length 1 and diagonal length 2. frac{1 sqrt[3]{19 3sqrt{33}} sqrt[3]{19-3sqrt{33}}}{3} 1.839 286 755 214 161 132 551 852 564 653 The Tribonacci constant. Used in the formula for the volume of the snub cube and properties of some of it's dual polyhedrons. It satisfies the equation x x−3 = 2. sqrt{5} 2.236 067 977 499 789 696 409 173 668 731 Square root of five. Length of the diagonal of a 1 times 2 rectangle. Length of the diagonal of a sqrt{2} times sqrt{3} rectangle. Length of the space diagonal of a 1 times sqrt{2} times sqrt{2} rectangular box. sqrt{2} 1 2.414 213 562 373 095 048 801 688 724 210 Silver ratio left(delta_Sright), the larger of the two real roots of x^2=2x 1, . sqrt{6} 2.449 489 742 783 178 098 197 284 074 706 sqrt{2} cdot sqrt{3} = area of a sqrt{2} times sqrt{3} rectangle. Length of the space diagonal of a 1 times 1 times 2 rectangular box. Length of the diagonal of a 1 times sqrt{5} rectangle. Length of the diagonal of a 2 times sqrt{2} rectangle. Length of the diagonal of a square with side length sqrt{3}. sqrt{7} 2.645 751 311 064 590 590 501 615 753 639 Length of the space diagonal of a 1 times 2 times sqrt{2} rectangular box. Length of the diagonal of a 1 times sqrt{6} rectangle. Length of the diagonal of a 2 times sqrt{3} rectangle. Length of the diagonal of a sqrt{2} times sqrt{5} rectangle. sqrt{8} 2.828 427 124 746 190 097 603 377 448 419 2 sqrt{2} Volume of a cube with edge length sqrt{2}. Length of the diagonal of a square with side length 2. Length of the diagonal of a 1 times sqrt{7} rectangle. Length of the diagonal of a sqrt{2} times sqrt{6} rectangle. Length of the diagonal of a sqrt{3} times sqrt{5} rectangle. sqrt{10} 3.162 277 660 168 379 331 998 893 544 433 sqrt{2} cdot sqrt{5} = area of a sqrt{2} times sqrt{5} rectangle. Length of the diagonal of a 1 times 3 rectangle. Length of the diagonal of a 2 times sqrt{6} rectangle. Length of the diagonal of a sqrt{3} times sqrt{7} rectangle. Length of the diagonal of a square with side length sqrt{5}. sqrt{11} 3.316 624 790 355 399 849 114 932 736 671 Length of the space diagonal of a 1 times 1 times 3 rectangular box. Length of the diagonal of a 1 times sqrt{10} rectangle. Length of the diagonal of a 2 times sqrt{7} rectangle. Length of the diagonal of a 3 times sqrt{2} rectangle. Length of the diagonal of a sqrt{3} times sqrt{8} rectangle. Length of the diagonal of a sqrt{5} times sqrt{6} rectangle. sqrt{12} 3.464 101 615 137 754 587 054 892 683 012 2 sqrt{3} Length of the space diagonal of a cube with edge length 2. Length of the diagonal of a 1 times sqrt{11} rectangle. Length of the diagonal of a 2 times sqrt{8} rectangle. Length of the diagonal of a 3 times sqrt{3} rectangle. Length of the diagonal of a sqrt{2} times sqrt{10} rectangle. Length of the diagonal of a sqrt{5} times sqrt{7} rectangle. Length of the diagonal of a square with side length sqrt{6}. [edit] Transcendental numbers Main article: Transcendental number (−1)i = e−π = 0.0432139183... Liouville constant: c = 0.110001000000000000000001000... Champernowne constant: C10 = 0.12345678910111213141516... ii = √(e−π) = 0.207879576... Copeland–Erdős constant: 0.235711131719232931374143... The logarithm of 2 to base 10, used to find the number of digits in a power of 2: 0.301029995663981...[2] The inverse of π: 0.318309886183790671537767526745028724068919291480...[3] The inverse of e: 0.367879441171442321595523770161460867445811131031...[4] Prouhet–Thue–Morse constant: τ = 0.412454033640... Omega constant: Ω = 0.5671432904097838729999686622... Cahen's constant: c = 0.64341054629... ln 2: 0.693147180559945309417232121458... π/√18 = 0.7404... the maximum density of sphere packing in three dimensional Euclidean space according to the Kepler conjecture[5] Gauss's constant: G = 0.8346268... π/√12 = 0.9086..., the fraction of the plane covered in circle packing[6] ei e-i = 2cos(1) = 1.08060461... π4/90 = ζ(4) = 1.082323...[7] Khinchin–Lévy constant: 1.1865691104...[1] √2s: 1.559610469... [8] Favard constant: K1 = 1.57079633... log2 3: 1.584962501..., in fact, the logarithm of any positive integer to any integer base greater than one is either rational or transcendental. √2√2: 1.6325269... Komornik–Loreti constant: q = 1.787231650... Universal parabolic constant: P2 = 2.29558714939... Gelfond–Schneider constant: 2.665144143... Euler's number: e = 2.718281828459045235360287471353... Pi: π = 3.141592653589793238462643383279... Van der Pauw's constant: pi/ln(2) = 4.53236014182719380962...[9] i√i : 4.81047738..., √eπ Tau, or 2π: τ = 6.283185307179586..., The ratio of the circumference to a radius, and the number of radians in a complete circle[10] Gelfond's constant: 23.14069263277925... Ramanujan's constant: e(π√163) = 262537412640768743.99999999999925... [edit] Suspected transcendentals -2W (½) = -0.703467422498391652049818601859902130..., the real solution to exp(x) = x2. Z(1): -0.736305462867317734677899828925614672... Heath-Brown–Moroz constant: C = 0.001317641... Kepler–Bouwkamp constant: 0.1149420448... MRB constant: 0.187859... Meissel–Mertens constant: M = 0.2614972128476427837554268386086958590516... Bernstein's constant: β = 0.2801694990... Strongly carefree constant: 0.286747... Gauss–Kuzmin–Wirsing constant: λ1 = 0.3036630029...[2] Hafner–Sarnak–McCurley constant: 0.3532363719... Artin's constant: 0.3739558136... Prime constant: ρ = 0.414682509851111660248109622... Carefree constant: 0.428249... The Logarithm of e to base 10: 0.434294481903251827651128918916605082294397005803...[11] S(1): 0.438259147390354766076756696625152... F(1): 0.538079506912768419136387420407556... Stephens' constant: 0.575959... Euler–Mascheroni constant: γ = 0.577215664901532860606512090082... Golomb–bleepman constant: λ = 0.62432998854355087099293638310083724... Twin prime constant: C2 = 0.660161815846869573927812110014... Feller-Tornier constant: 0.661317... Laplace limit: ε = 0.6627434193...[3] Taniguchi's constant: 0.678234... Continued Fraction Constant: C = 0.697774657964007982006790592551...[12] Embree–Trefethen constant: β* = 0.70258... Sarnak's constant: 0.723648... Landau–Ramanujan constant: 0.76422365358922066299069873125... C(1): 0.77989340037682282947420641365... ζ(3)−1 = 0.831907..., the probability that three random numbers have no common factor.[13] Brun's constant for prime quadruplets: B2 = 0.8705883800... Quadratic class number constant: 0.881513... Catalan's constant: G = 0.915965594177219015054603514932384110774... Viswanath's constant: σ(1) = 1.13198824... ζ(3) = 1.202056903159594285399738161511449990764986292..., also known as Apéry's constant, known to be irrational, but not known whether or not it is transcendental.[14] Vardi's constant: E = 1.264084735305... Glaisher–Kinkelin constant: A = 1.28242712... Mills' constant: A = 1.30637788386308069046... Totient summatory constant: 1.339784... Ramanujan–Soldner constant: μ = 1.451369234883381050283968485892027449493… Backhouse's constant: 1.456074948... Lieb's square ice constant: 1.5396007... Erdős–Borwein constant: E = 1.606695152415291763... Somos' quadratic recurrence constant: σ = 1.661687949633594121296... Niven's constant: c = 1.705211... Brun's constant: B2 = 1.902160583104... Landau's totient constant: 1.943596... exp(-W 0(-ln(3⅓))) = 2.47805268028830..., the smaller solution to 3x = x3 and what, when put to the root of itself, is equal to 3 put to the root of itself. [15] Second Feigenbaum constant: α = 2.5029... Sierpiński's constant: K = 2.5849817595792532170658936... Barban's constant: 2.596536... Khinchin's constant: K0 = 2.685452001...[4] Fransén–Robinson constant: F = 2.8077702420... Murata's constant: 2.826419... Lévy's constant: γ = 3.275822918721811159787681882... Reciprocal Fibonacci constant: ψ = 3.359885666243177553172011302918927179688905133731... First Feigenbaum constant: δ = 4.6692... [edit] Numbers not known with high precision Landau's constant: 0.4330 < B < 0.472 Bloch's constant: 0.4332 < B < 0.4719 Landau's constant: 0.5 < L < 0.544 Landau's constant: 0.5 < A < 0.7853 Grothendieck constant: 1.67 < k < 1.79 [edit] Hypercomplex numbers Main article: Hypercomplex number [edit] Algebraic complex numbers Imaginary unit: i = sqrt{-1} nth roots of unity: xi^k_n = cosleft(2pi tfrac{k}{n}right) isinleft(2pi tfrac{k}{n}right) [edit] Other hypercomplex numbers The quaternions The octonions The sedenions The dual numbers (with an infinitesimal) [edit] Transfinite numbers Main article: Transfinite number Infinity in general: infty Aleph-null: aleph_0 Aleph-one: aleph_1 Beth-one: (beth_1) is the cardinality of the continuum: 2^{aleph_0} [edit] Numbers representing measured quantities Pair: 2 (the base of the binary numeral system) Dozen: 12 (the base of the duodecimal numeral system) Baker's dozen: 13 Score: 20 (the base of the vigesimal numeral system) Gross: 144 (= 122) Great gross: 1728 (= 123) [edit] Numbers representing scientific quantities Avogadro constant: NA = 6.0221417930... ×1023 mol−1 Electronvolt: eV = 1.60217648740... ×10–19 J Electron relative atomic mass: Ar(e) = 0.0005485799094323... Fine structure constant: α = 0.007297352537650... Molar mass constant: Mu = 0.001 kg/mol Planck constant: h = 6.6260689633... ×10–34 Js Rydberg constant: R∞ = 10973731.56852773... m−1 Speed of light in vacuum: c = 299792458 m/s Stefan-Boltzmann constant: σ = 5.670400×10−8 W • m−2 • K−4 [edit] Numbers without specific values Main article: Indefinite and fictitious numbers [edit] See also English-language numerals Floating point Fraction (mathematics) Integer sequence Interesting number paradox Large numbers List of numbers in various languages List of prime numbers Mathematical constant Names of large numbers Names of small numbers Negative number Number prefix Numeral (linguistics) Orders of magnitude (numbers) Ordinal number The Penguin Dictionary of Curious and Interesting Numbers SI prefix Small number Surreal number Table of prime factors [edit] Notes ^ a b c The shipmaster's assistant, and commercial digest ^ "The Penguin Dictionary of Curious and Interesting Numbers" by David Wells, page 27. ^ "The Penguin Dictionary of Curious and Interesting Numbers" by David Wells, page 27. ^ "The Penguin Dictionary of Curious and Interesting Numbers" by David Wells, page 27. ^ "The Penguin Dictionary of Curious and Interesting Numbers" by David Wells, page 29. ^ "The Penguin Dictionary of Curious and Interesting Numbers" by David Wells, page 30. ^ "The Penguin Dictionary of Curious and Interesting Numbers" by David Wells, page 33. ^ http://www.qbyte.org/puzzles/p029s.html ^ http://oeis.org/A163973/internal ^ "The Penguin Dictionary of Curious and Interesting Numbers" by David Wells, page 69 ^ "The Penguin Dictionary of Curious and Interesting Numbers" by David Wells, page 27. ^ http://mathworld.wolfram.com/ContinuedFractionConstant.html ^ "The Penguin Dictionary of Curious and Interesting Numbers" by David Wells, page 29. ^ "The Penguin Dictionary of Curious and Interesting Numbers" by David Wells, page 33 ^ http://oeis.org/A166928 [edit] Further reading Kingdom of Infinite Number: A Field Guide by Bryan Bunch, W.H. Freeman & Company, 2001. ISBN 0-7167-4447-3 [edit] External links The Database of Number Correlations: 1 to 2000 What's Special About This Number? A Zoology of Numbers: from 0 to 500 See how to write big numbers The MegaPenny Project – Visualizing big numbers About big numbers Robert P. Munafo's Large Numbers page Different notations for big numbers – by Susan Stepney Names for Large Numbers, in How Many? A Dictionary of Units of Measurement by Russ Rowlett What's Special About This Number? (from 0 to 9999) View page ratings Rate this page What's this? Trustworthy Objective Complete Well-written I am highly knowledgeable about this topic (optional) Categories: Number-related lists Mathematical tables Numeral systems Log in / create account Article Talk Read Edit View history Main page Contents Featured content Current events Random article Donate to Wikipedia Interaction Help About Wikipedia Community portal Recent changes Contact Wikipedia Toolbox Print/export Languages العربية བོད་ཡིག Български Česky Deutsch Español Esperanto فارسی Français 한국어 Bahasa Indonesia Nederlands 日本語 O'zbek Português Русский Slovenčina Slovenščina Svenska Tagalog தமிழ் Українська Yorùbá 中文 This page was last modified on 25 February 2012 at 15:50. Text is available under the Creative Commons Attribution-ShareAlike License; additional terms may apply. See Terms of use for details. I copied numbers 1 - 1000 and an entire Wikipedia Page!!!!!!!!!!!!!!!!!!!!!!!! Chinese Dutch English French German Italian Japanese Portuguese Russian Spanish 1 yī een one un eins uno ichi um один, одна, одно uno 2 èr, liǎng twee two deux zwei due ni dois два, две dos 3 sān drie three trois drei tre san três три tres 4 sì vier four quatre vier quattro yon quatro четыре cuatro 5 wǔ vijf five cinq fünf cinque go cinco пять cinco 6 liù zes six six sechs sei roku seis шесть seis 7 qī zeven seven sept sieben sette nana sete семь siete 8 bā acht eight huit acht otto hachi oito восемь ocho 9 jiǔ negen nine neuf neun nove kyuu nove девять nueve 10 shí tien ten dix zehn dieci juu dez десять diez Chinese Dutch English French German Italian Japanese Portuguese Russian Spanish 11 shíyī elf eleven onze elf undici juu ichi onze одиннадцать once 12 shíèr twaalf twelve douze zwölf dodici juu ni doze двенадцать doce 13 shísān dertien thirteen treize dreizehn tredici juu san treze тринадцать trece 14 shísì veertien fourteen quatorze vierzehn quattordici juu yon catorze четырнадцать catorce 15 shíwǔ vijftien fifteen quinze fünfzehn quindici juu go quinze пятнадцать quince 16 shíliù zestien sixteen seize sechzehn sedici juu roku dezasseis шестнадцать dieciséis 17 shíqī zeventien seventeen dix-sept siebzehn diciassette juu nana dezassete семнадцать diecisiete 18 shíbā achttien eighteen dix-huit achtzehn diciotto juu hachi dezoito восемнадцать dieciocho 19 shíjiǔ negentien nineteen dix-neuf neunzehn diciannove juu kyuu dezanove девятнадцать diecinueve 20 èrshí twintig twenty vingt zwanzig venti ni juu vinte двадцать veinte Chinese Dutch English French German Italian Japanese Portuguese Russian Spanish 21 èrshíyī eenentwintig twenty-one vingt-et-un einundzwanzig ventuno ni juu ichi vinte e um двадцать один veintiuno 22 èrshíèr tweeëntwintig twenty-two vingt-deux zweiundzwanzig ventidue ni juu ni vinte e dois двадцать два veintidós 30 sānshí dertig thirty trente dreißig trenta san juu trinta тридцать treinta 40 sìshí veertig forty quarante vierzig quaranta yon juu quarenta сорок cuarenta 50 wǔshí vijftig fifty cinquante fünfzig cinquanta go juu cinquenta пятьдесят cincuenta 60 liùshí zestig sixty soixante sechzig sessanta roku juu sessanta шестьдесят sesenta 70 qīshí zeventig seventy soixante-dix siebzig settanta nana juu setenta семьдесят setenta 80 bāshí tachtig eighty quatre-vingts achtzig ottanta hachi juu oitenta восемьдесят ochenta 90 jiǔshí negentig ninety quatre-vingt-dix neunzig novanta kyuu juu noventa девяносто noventa 100 yībǎi honderd hundred cent hundert cento hyaku cem сто cien/ciento Chinese Dutch English French German Italian Japanese Portuguese Russian Spanish 200 èrbǎi tweehonderd two hundred deux cents zweihundert duecento ni hyaku duzentos двести doscientos 300 sānbǎi driehonderd three hundred trois cents dreihundert trecento sanbyaku trezentos триста trescientos 400 sìbǎi vierhonderd four hundred quatre cents vierhundert quattrocento yon hyaku quatrocentos четыреста cuatrocientos 500 wǔbǎi vijfhonderd five hundred cinq cents fünfhundert cinquecento go hyaku quinhentos пятьсот quinientos 600 liùbǎi zeshonderd six hundred six cents sechshundert seicento roppyaku seiscentos шестьсот seiscientos 700 qībǎi zevenhonderd seven hundred sept cents siebenhundert settecento nana hyaku setecentos семьсот setecientos 800 bābǎi achthonderd eight hundred huit cents achthundert ottocento happyaku oitocentos восемьсот ochocientos 900 jiǔbǎi negenhonderd nine hundred neuf cents neunhundert novecento kyuu hyaku novecentos девятьсот novecientos 1000 yīqiān duizend thousand mille tausend mille sen mil тысяча mil 2000 liǎngqiān tweeduizend two thousand deux mille zweitausend duemila ni sen dois mil две тысячи dos mil 1009 1013 1019 1021 1031 1033 1039 1049 1051 1061 1063 1069 1087 1091 1093 1097 1103 1109 1117 1123 1129 1151 1153 1163 1171 1181 1187 1193 1201 1213 1217 1223 1229 1231 1237 1249 1259 1277 1279 1283 1289 1291 1297 1301 1303 1307 1319 1321 1327 1361 1367 1373 1381 1399 1409 1423 1427 1429 1433 1439 1447 1451 1453 1459 1471 1481 1483 1487 1489 1493 1499 1511 1523 1531 1543 1549 1553 1559 1567 1571 1579 1583 1597 1601 1607 1609 1613 1619 1621 1627 1637 1657 1663 1667 1669 1693 1697 1699 1709 1721 1723 1733 1741 1747 1753 1759 1777 1783 1787 1789 1801 1811 1823 1831 1847 1861 1867 1871 1873 1877 1879 1889 1901 1907 1913 1931 1933 1949 1951 1973 1979 1987 1993 1997 1999 Prime Numbers from 2000 to 3000 2003 2011 2017 2027 2029 2039 2053 2063 2069 2081 2083 2087 2089 2099 2111 2113 2129 2131 2137 2141 2143 2153 2161 2179 2203 2207 2213 2221 2237 2239 2243 2251 2267 2269 2273 2281 2287 2293 2297 2309 2311 2333 2339 2341 2347 2351 2357 2371 2377 2381 2383 2389 2393 2399 2411 2417 2423 2437 2441 2447 2459 2467 2473 2477 2503 2521 2531 2539 2543 2549 2551 2557 2579 2591 2593 2609 2617 2621 2633 2647 2657 2659 2663 2671 2677 2683 2687 2689 2693 2699 2707 2711 2713 2719 2729 2731 2741 2749 2753 2767 2777 2789 2791 2797 2801 2803 2819 2833 2837 2843 2851 2857 2861 2879 2887 2897 2903 2909 2917 2927 2939 2953 2957 2963 2969 2971 2999 Prime Numbers from 3000 to 4000 3001 3011 3019 3023 3037 3041 3049 3061 3067 3079 3083 3089 3109 3119 3121 3137 3163 3167 3169 3181 3187 3191 3203 3209 3217 3221 3229 3251 3253 3257 3259 3271 3299 3301 3307 3313 3319 3323 3329 3331 3343 3347 3359 3361 3371 3373 3389 3391 3407 3413 3433 3449 3457 3461 3463 3467 3469 3491 3499 3511 3517 3527 3529 3533 3539 3541 3547 3557 3559 3571 3581 3583 3593 3607 3613 3617 3623 3631 3637 3643 3659 3671 3673 3677 3691 3697 3701 3709 3719 3727 3733 3739 3761 3767 3769 3779 3793 3797 3803 3821 3823 3833 3847 3851 3853 3863 3877 3881 3889 3907 3911 3917 3919 3923 3929 3931 3943 3947 3967 3989 Prime Numbers from 4000 to 5000 4001 4003 4007 4013 4019 4021 4027 4049 4051 4057 4073 4079 4091 4093 4099 4111 4127 4129 4133 4139 4153 4157 4159 4177 4201 4211 4217 4219 4229 4231 4241 4243 4253 4259 4261 4271 4273 4283 4289 4297 4327 4337 4339 4349 4357 4363 4373 4391 4397 4409 4421 4423 4441 4447 4451 4457 4463 4481 4483 4493 4507 4513 4517 4519 4523 4547 4549 4561 4567 4583 4591 4597 4603 4621 4637 4639 4643 4649 4651 4657 4663 4673 4679 4691 4703 4721 4723 4729 4733 4751 4759 4783 4787 4789 4793 4799 4801 4813 4817 4831 4861 4871 4877 4889 4903 4909 4919 4931 4933 4937 4943 4951 4957 4967 4969 4973 4987 4993 4999 Prime Numbers from 5000 to 6000 5003 5009 5011 5021 5023 5039 5051 5059 5077 5081 5087 5099 5101 5107 5113 5119 5147 5153 5167 5171 5179 5189 5197 5209 5227 5231 5233 5237 5261 5273 5279 5281 5297 5303 5309 5323 5333 5347 5351 5381 5387 5393 5399 5407 5413 5417 5419 5431 5437 5441 5443 5449 5471 5477 5479 5483 5501 5503 5507 5519 5521 5527 5531 5557 5563 5569 5573 5581 5591 5623 5639 5641 5647 5651 5653 5657 5659 5669 5683 5689 5693 5701 5711 5717 5737 5741 5743 5749 5779 5783 5791 5801 5807 5813 5821 5827 5839 5843 5849 5851 5857 5861 5867 5869 5879 5881 5897 5903 5923 5927 5939 5953 5981 5987 Prime Numbers from 6000 to 7000 6007 6011 6029 6037 6043 6047 6053 6067 6073 6079 6089 6091 6101 6113 6121 6131 6133 6143 6151 6163 6173 6197 6199 6203 6211 6217 6221 6229 6247 6257 6263 6269 6271 6277 6287 6299 6301 6311 6317 6323 6329 6337 6343 6353 6359 6361 6367 6373 6379 6389 6397 6421 6427 6449 6451 6469 6473 6481 6491 6521 6529 6547 6551 6553 6563 6569 6571 6577 6581 6599 6607 6619 6637 6653 6659 6661 6673 6679 6689 6691 6701 6703 6709 6719 6733 6737 6761 6763 6779 6781 6791 6793 6803 6823 6827 6829 6833 6841 6857 6863 6869 6871 6883 6899 6907 6911 6917 6947 6949 6959 6961 6967 6971 6977 6983 6991 6997 Prime Numbers from 7000 to 8000 7001 7013 7019 7027 7039 7043 7057 7069 7079 7103 7109 7121 7127 7129 7151 7159 7177 7187 7193 7207 7211 7213 7219 7229 7237 7243 7247 7253 7283 7297 7307 7309 7321 7331 7333 7349 7351 7369 7393 7411 7417 7433 7451 7457 7459 7477 7481 7487 7489 7499 7507 7517 7523 7529 7537 7541 7547 7549 7559 7561 7573 7577 7583 7589 7591 7603 7607 7621 7639 7643 7649 7669 7673 7681 7687 7691 7699 7703 7717 7723 7727 7741 7753 7757 7759 7789 7793 7817 7823 7829 7841 7853 7867 7873 7877 7879 7883 7901 7907 7919 7927 7933 7937 7949 7951 7963 7993 Prime Numbers from 8000 to 9000 8009 8011 8017 8039 8053 8059 8069 8081 8087 8089 8093 8101 8111 8117 8123 8147 8161 8167 8171 8179 8191 8209 8219 8221 8231 8233 8237 8243 8263 8269 8273 8287 8291 8293 8297 8311 8317 8329 8353 8363 8369 8377 8387 8389 8419 8423 8429 8431 8443 8447 8461 8467 8501 8513 8521 8527 8537 8539 8543 8563 8573 8581 8597 8599 8609 8623 8627 8629 8641 8647 8663 8669 8677 8681 8689 8693 8699 8707 8713 8719 8731 8737 8741 8747 8753 8761 8779 8783 8803 8807 8819 8821 8831 8837 8839 8849 8861 8863 8867 8887 8893 8923 8929 8933 8941 8951 8963 8969 8971 8999 Prime Numbers from 9000 to 10000 9001 9007 9011 9013 9029 9041 9043 9049 9059 9067 9091 9103 9109 9127 9133 9137 9151 9157 9161 9173 9181 9187 9199 9203 9209 9221 9227 9239 9241 9257 9277 9281 9283 9293 9311 9319 9323 9337 9341 9343 9349 9371 9377 9391 9397 9403 9413 9419 9421 9431 9433 9437 9439 9461 9463 9467 9473 9479 9491 9497 9511 9521 9533 9539 9547 9551 9587 9601 9613 9619 9623 9629 9631 9643 9649 9661 9677 9679 9689 9697 9719 9721 9733 9739 9743 9749 9767 9769 9781 9787 9791 9803 9811 9817 9829 9833 9839 9851 9857 9859 9871 9883 9887 9901 9907 9923 9929 9931 9941 9949 9967 9973

 

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