Engel expansion: Difference between revisions

Content added Content deleted
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end
end


setprecision(725)
setprecision(700)


foreach(testEngels, [
foreach(testEngels, [
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"1.414213562373095",
"1.414213562373095",
"7.59375",
"7.59375",
"3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679821480865132823066470938446095505822317253594081284811174502841027019385211",
"3.14159265358979323846264338327950288419716939937510582097494459230781640628620899862803482534211706798214808651328230664709384",
"2.71828182845904523536028747135266249775724709369995957496696762772407663035354759457138217852516642743",
"2.71828182845904523536028747135266249775724709369995957496696762772407663035354759457138217852516642743",
"1.4142135623730950488016887242096980785696718753769480731766797379907324784621070388503875343276415727350138462309122970249248360558507372126441214970999358314132226659275055927558",
"1.414213562373095048801688724209698078569671875376948073176679737990732478462107038850387",
"25.628906",
"25.628906",
])
])
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Back to rational: 7.59375
Back to rational: 7.59375


Number: 3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679821480865132823066470938446095505822317253594081284811174502841027019385211
Number: 3.14159265358979323846264338327950288419716939937510582097494459230781640628620899862803482534211706798214808651328230664709384
Engel expansion: BigInt[1, 1, 1, 8, 8, 17, 19, 300, 1991, 2492, 7236, 10586, 34588, 63403, 70637, 1236467, 5417668, 5515697, 5633167, 7458122, 9637848, 9805775, 41840855, 58408380, 213130873, 424342175, 2717375531, 323878055376, 339280401894, 386771504748]
Engel expansion: BigInt[1, 1, 1, 8, 8, 17, 19, 300, 1991, 2492, 7236, 10586, 34588, 63403, 70637, 1236467, 5417668, 5515697, 5633167, 7458122, 9637848, 9805775, 41840855, 58408380, 213130873, 424342175, 2366457522, 4109464489, 21846713216, 27803071890]
Back to rational: 3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679821480865132823066470938446095505822317253594081284811174502841027019385211000000000000000000000000000000000001
Back to rational: 3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067982148086513282306647093840000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009


Number: 2.71828182845904523536028747135266249775724709369995957496696762772407663035354759457138217852516642743
Number: 2.71828182845904523536028747135266249775724709369995957496696762772407663035354759457138217852516642743
Engel expansion: BigInt[1, 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]
Engel expansion: BigInt[1, 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]
Back to rational: 2.7182818284590452353602874713526624977572470936999595749669676277240766303535475945713821785251664274300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003
Back to rational: 2.718281828459045235360287471352662497757247093699959574966967627724076630353547594571382178525166427430000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002


Number: 1.4142135623730950488016887242096980785696718753769480731766797379907324784621070388503875343276415727350138462309122970249248360558507372126441214970999358314132226659275055927558
Number: 1.414213562373095048801688724209698078569671875376948073176679737990732478462107038850387
Engel expansion: BigInt[1, 3, 5, 5, 16, 18, 78, 102, 120, 144, 251, 363, 1402, 31169, 88630, 184655, 259252, 298770, 4196070, 38538874, 616984563, 1975413038, 7855284583, 34680535992, 47012263568, 82957997141, 1709576125547, 42630379527673, 164312229775505, 404736776022426]
Engel expansion: BigInt[1, 3, 5, 5, 16, 18, 78, 102, 120, 144, 251, 363, 1402, 31169, 88630, 184655, 259252, 298770, 4196070, 38538874, 616984563, 1975413035, 5345718057, 27843871197, 54516286513, 334398528974, 445879679626, 495957494386, 2450869042061, 2629541150527]
Back to rational: 1.4142135623730950488016887242096980785696718753769480731766797379907324784621070388503875343276415727350138462309122970249248360558507372126441214970999358314132226659275055927558000000000000000000000000000000001
Back to rational: 1.414213562373095048801688724209698078569671875376948073176679737990732478462107038850387000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000004


Number: 25.628906
Number: 25.628906