| 상수
|
수식
|
수치
|
수식값
|
이진수치
|
| 챔퍼나운수
|
∑k=1 to ∞ k/100^k
|
0.0001020304050607080910111213141516171819202122232425262728293031
|
1/9801
|
|
| 프라임제타함수
|
∑k=1 to ∞ (1)/(prime(k))^10
|
0.0009936035744369802178558507001477394163018725452852033205535666
|
PrimeZetaP(10)
|
|
| 챔퍼나운수
|
∑k=1 to ∞ k/1000^k
|
0.0010020030040050060070080090100110120130140150160170180190200210
|
1000/998001
|
|
| 프라임제타함수
|
∑k=1 to ∞ (1)/(prime(k))^9
|
0.0020044675749624506630735851407831175368229203497385785502755917...
|
PrimeZetaP(9)
|
|
| 프라임제타함수
|
∑k=1 to ∞ (1)/(prime(k))^8
|
0.0040614053665178305605234391426830805229771445120717410010326886...
|
PrimeZetaP(8)
|
|
| 프라임제타함수
|
∑k=1 to ∞ (1)/(prime(k))^7
|
0.0082838328561335925351241387294487230891833288853078062446419216
|
PrimeZetaP(7)
|
|
| 챔퍼나운수
|
∑k=1 to 100 (k)/(100^k^2)
|
0.0100000200000000030000000000000400000000000000000500000000000000...
|
|
|
| 프라임제타함수
|
∑k=1 to ∞ (1)/(prime(k))^6
|
0.0170700868506365129541336732660593992095859418745442447331633688...
|
PrimeZetaP(6)
|
|
| 프라임제타함수
|
∑k=1 to ∞ (1)/(prime(k))^5
|
0.0357550174839242571328182425388557111316972767266513316900926748
|
PrimeZetaP(5)
|
|
| 프라임 함수
|
∑k=1 to 200 15/16^(prime(k))
|
0.0622702203699565526817174364041634243120807822051821273030966268
|
손흥민상수
|
0.0ff0f0f000f0f000f0f000f0f000f0f000f0f000f0f000f0f000f0f000f0f..._16
|
| 프라임제타함수
|
∑k=1 to ∞ (1)/(prime(k))^4
|
0.0769931397642468449426192959331578701620410597148431902649380088
|
PrimeZetaP(4)
|
|
| 리우빌게이츠수
|
∑k=1 to 100 (1)/(10^k^2)
|
0.1001000010000001000000001000000000010000000000001000000000000001
|
리우빌게이츠수
|
|
| 피보나치 수열
|
∑k=1 to 100 (((2(Φ+1))^k-(-(2Φ))^k)/((√5 2^k)(10^k^2)))
|
0.1001000020000003000000005000000000080000000000013000000000000021...
|
|
|
| 피보나치 수열
|
∑k=1 to 100 ((1+(√13))^k-(1-(√13))^k)/((10^k^2)(√13 2^k))
|
0.1001000040000007000000019000000000400000000000097000000000000217
|
|
|
| 피보나치 수열
|
∑k=1 to 100 ((1+(√17))^k-(1-(√17))^k)/((10^k^2)(√17 2^k))
|
0.1001000050000009000000029000000000650000000000181000000000000441
|
|
|
| 피보나치 수열
|
∑k=1 to 100 ((1+(√29))^k-(1-(√29))^k)/((10^k^2)(√29 2^k))
|
0.1001000080000015000000071000000001760000000000673000000000001905
|
|
|
| 피보나치 수열
|
∑k=1 to 100 ((1+(√97))^k-(1-(√97))^k)/((10^k^2)(√97 2^k))
|
0.1001000250000049000000649000000018250000000017401000000000061201...
|
|
|
| 챔퍼나운수
|
∑k=1 to 100 (k)/(10^k^2)
|
0.1002000030000004000000005000000000060000000000007000000000000008...
|
|
|
| 리우빌게이츠수
|
∑k=1 to 100 (1)/(10^(1/2(k(k+1))))
|
0.1010010001000010000010000001000000010000000010000000001000000000
|
|
|
| 피보나치 제곱근수열
|
∑k=1 to 200 ((1+√k)^k-(1-√k)^k)/(√k(2^k)(10^(((1/2)(k))(k+1))))
|
0.1010015002500050000106875025375000635625001710000000481269531264...
|
|
|
| 소수챔퍼나운
|
∑k=1 to ∞ (k)/(10^((1/2)k(k+1)))
|
0.1020030004000050000060000007000000080000000090000000010000000000
|
박진영 소수
|
|
| 챔퍼나운수
|
∑k=1 to ∞ (k)/(10^(1/2(k(k+1))))
|
0.1020030004000050000060000007000000080000000090000000010000000000
|
|
|
| 테오도로스 와선
|
∑k=1 to ∞ (k^2)/(10^((1/2)k(k+1)))
|
0.1040090016000250000360000049000000640000000810000000100000000001
|
|
|
| 챔퍼나운수
|
∑k=1 to ∞ k/10^k
|
0.1234567901234567901234567901234567901234567901234567901234567901
|
10/81
|
|
| 프라임제타함수
|
∑k=1 to ∞ (1)/(prime(k))^3
|
0.1747626392994435364231133146657067009754121219261492898886720167
|
PrimeZetaP(3)
|
|
| 삼각함수
|
sin 15=cos75
|
0.2588190451025207623488988376240483283490689013199305138140032073
|
(-1 + √(3))/(2 √(2))
|
|
| 알틴상수
|
∏k=1 to 300 (1-(1/((prime(k))((prime(k))-1))))
|
0.3739779085232390990130354764624605418441652088430114822837450575
|
|
|
| 프라임 함수
|
∑k=1 to 2000 1/2^(prime(k))
|
0.4146825098511116602481096221543077083657742381379169778682454144
|
서경석상수
|
0.01101010001010001010001000001010000010001010000.._2
|
| 프라임제타함수
|
∑k=1 to ∞ (1)/(prime(k))^2
|
0.4522474200410654985065433648322479341732313432398924217364189303...
|
PrimeZetaP(2)
|
|
| 삼각함수
|
sin 30 = cos 60
|
0.5
|
|
|
| 소수형 와선
|
∑k=1 to ∞ ((3k+2)-1/2((-1)^k+1))/(10^((1/2)k(k+1)))
|
0.5070110013000170000190000023000000250000000290000000031000000000
|
|
|
| 스티븐스 상수
|
∏k=1 to 200 (1- (prime(k))/((prime(k))^3-1))
|
0.5760179444251563134833150358506430935654142594792436863050690303
|
|
|
| 오일로마스케로니상수
|
γ
|
0.5772156649015328606065120900824024310421593359399235988057672348
|
감마상수
|
|
| 프라임 자연상수
|
∑k=1 to 300 1/(prime(k))!
|
0.6751984379111143419005616075913572995392767885651326515603410645
|
|
|
| 삼각함수
|
sin 45 = cos 45
|
0.7071067811865475244008443621048490392848359376884740365883398689
|
√2/2
|
|
| 계차수열 원주율
|
∏k=1 to ∞ (k^2+k)/(k^2+k+1/4)
|
0.7853981633974483096156608458198757210492923498437764552437361480
|
π/4
|
|
| 계차수열 원주율
|
∏k=1 to ∞ (k^2+k)/(k^2+k+2/9)
|
0.8061330507707634891529236700631803254595849991523291446977266379
|
(4 π)/(9 √(3))
|
|
| 삼각함수
|
∑k=0 to ∞ (-1)^k/(2k+1)!
|
0.8414709848078965066525023216302989996225630607983710656727517099
|
sin(1)
|
|
| 오메가 상수
|
∑k=1 to 500 ((Ω(k))/k^(k/2))
|
0.8465568197300854203792551273336268512277971091063313092781798375
|
|
|
| 삼각함수
|
sin 60 = cos 30
|
0.8660254037844386467637231707529361834714026269051903140279034897
|
√3/2
|
|
| (1/2)!
|
(1/2)!
|
0.8862269254527580136490837416705725913987747280611935641069038949
|
√(π)/2
|
|
| (1/3)!
|
(1/3)!
|
0.8929795115692492112185643136582258813762297926524337003168094425...
|
Γ(4/3)
|
|
| (1/4)!
|
(1/4)!
|
0.9064024770554770779826712889669180007487919207200163668583444998
|
|
|
| 카탈란상수
|
∑k=0 to ∞ (-1)^k 1/(2k+1)^2
|
0.91596559417721901505460351493238411077414937428167213426649811962
|
C
|
|
| (1/5)!
|
(1/5)!
|
0.9181687423997606106409516551858304006868219996586806035577706272
|
|
|
| (1/6)!
|
(1/6)!
|
0.9277193336300392007083494825346210185664665191454755769361241043
|
|
|
| (1/7)!
|
(1/7)!
|
0.9354375628925463482448704784898566089458764553405907355628812598
|
|
|
| (1/8)!
|
(1/8)!
|
0.9417426998497014880874037301518917030763024485186344926228909872
|
|
|
| (1/9)!
|
(1/9)!
|
0.9469653488021639945015991349377288616398701632580023220591890686
|
|
|
| (1/10)!
|
(1/10)!
|
0.9513507698668731836292487177265402192550578626088377343050000770
|
|
|
| (1/11)!
|
(1/11)!
|
0.9550795323707895628995457109861646076704562978844546020006406437
|
|
|
| (1/9999)!
|
(1/9999)!
|
0.9999422825524066331611194953266599128489382680628831833390118011
|
|
|
| 감마함수
|
(0/1)!
|
1
|
감마함수
|
|
| 감마함수
|
(1/∞)!
|
1
|
감마함수
|
|
| 오차함수
|
erf(∞)
|
1
|
erf 함수
|
|
| 제타함수(15)
|
∑k=1 to ∞ 1/k^15
|
1.0000305882363070204935517285106450625876279487068581775065699328
|
ζ(15)
|
|
| 제타함수(14)
|
∑k=1 to ∞ 1/k^14
|
1.0000612481350587048292585451051353337474816961691545494827552022
|
(2 π^14)/18243225
|
|
| 제타함수(13)
|
∑k=1 to ∞ 1/k^13
|
1.0001227133475784891467518365263573957142751058955098451367026716
|
ζ(13)
|
|
| 제타함수(12)
|
∑k=1 to ∞ 1/k^11
|
1.0002460865533080482986379980477396709604160884580034045330409521
|
(691 π^12)/638512875
|
|
| 제타함수(11)
|
∑k=1 to ∞ 1/k^12
|
1.0002460865533080482986379980477396709604160884580034045330409521
|
(691 π^12)/638512875
|
|
| √√√√√√√√√√√pi
|
√√√√√√√√√√√pi
|
1.0005591063813132589929435778536422404933973576162167552403814608
|
|
|
| 제타함수(10)
|
∑k=1 to ∞ 1/k^10
|
1.0009945751278180853371459589003190170060195315644775172577889946
|
ζ(10)=π^10/93555
|
|
| 제타함수(9)
|
∑k=1 to ∞ 1/k^9
|
1.0020083928260822144178527692324120604856058513948887565485966159
|
ζ(9)
|
|
| 제타함수(8)
|
∑k=1 to ∞ 1/k^8
|
1.0040773561979443393786852385086524652589607906498500203291102026
|
ζ(8)=π^8/9450
|
|
| 제타함수(7)
|
∑k=1 to ∞ 1/k^7
|
1.0083492773819228268397975498497967595998635605652387064172831365...
|
ζ(7)
|
|
| 제타함수(6)
|
∑k=1 to ∞ 1/k^6
|
1.0173430619844491397145179297909205279018174900328535618424086640
|
ζ(6)
|
|
| 제타함수(5)
|
∑k=1 to ∞ 1/k^5
|
1.0369277551433699263313654864570341680570809195019128119741926779
|
ζ(5)
|
|
| 계차수열 원주율
|
∏k=1 to ∞ (k^2)/(k^2-(1/6)^2)
|
1.0471975511965977461542144610931676280657231331250352736583148641...
|
π/3
|
|
| 이진수게이츠수
|
∑k=0 to ∞ 1/16^(1/2(k(k+1)))
|
1.0627442002305542709597597179251070634256864037241327881577743227
|
EllipticTheta(2, 0, 1/4)/sqrt(2)
|
1.10100100010000100000100000010000000100000000100000000010000000000100000000000_16
|
| √√√√e
|
√√√√e
|
1.0644944589178594295633905946428896731007254436493533015193075106
|
|
|
| √√√√pi
|
√√√√pi
|
1.0741671507963690427075346518309402544827239985350550613754924441
|
|
|
| 제타함수(4)
|
∑k=1 to ∞ 1/k^4
|
1.0823232337111381915160036965411679027747509519187269076829762154
|
ζ(4)=π^4/90
|
|
| 박진영상수
|
∑k=0 to ∞ 1/10^(1/2(k(k+1)))
|
1.1010010001000010000010000001000000010000000010000000001000000000
|
(5^(1/8) EllipticTheta(2, 0, 1/sqrt(10)))/2^(7/8)
|
|
| 계차수열 원주율
|
∏k=1 to ∞ (k^2)/(k^2-(1/4)^2)
|
1.1107207345395915617539702475151734246536554223439225557713489017...
|
(π)/(2 √(2))
|
|
| 이진수게이츠수
|
∑k=0 to ∞ 1/9^(1/2(k(k+1)))
|
1.1124847351868191792795836797717806024654851834143203158306941685
|
1/2 3^(1/4) EllipticTheta(2, 0, 1/3)
|
1.10100100010000100000100000010000000100000000100000000010000000000100000000000.._9
|
| 이진수게이츠수
|
∑k=0 to ∞ 1/8^(1/2(k(k+1)))
|
1.1269569406286166214333291885797766544236120630014631950005378499
|
EllipticTheta(2, 0, 1/(2 sqrt(2)))/2^(5/8)
|
1.10100100010000100000100000010000000100000000100000000010000000000100000000000._8
|
| √√√e
|
√√√e
|
1.1331484530668263168290072278117938725655031317451816259128200360
|
|
|
| 이진수게이츠수
|
∑k=0 to ∞ 1/7^(1/2(k(k+1)))
|
1.1457810981522827138883241531915369271687453768539679334421200704
|
1/2 7^(1/8) EllipticTheta(2, 0, 1/sqrt(7))
|
1.101001000100001000001000000100000001000000001000000000100000000001000000000001._7
|
| 프라임 함수
|
∑k=1 to 200 1/(prime(k))^(k/2)
|
1.1532958323418605023123330009137844792071376030772984507062372450
|
|
|
| √√√pi
|
√√√pi
|
1.1538350678499894305409652131498819001773888798708246208741503287
|
|
|
| 이진수게이츠수
|
∑k=0 to ∞ 1/6^(1/2(k(k+1)))
|
1.1713177463071023968741972682825946670576971460747418615599257131
|
(3^(1/8) EllipticTheta(2, 0, 1/sqrt(6)))/2^(7/8)
|
1.10100100010000100000100000010000000100000000100000000010000000000100000000000_6
|
| 쌍곡함수(자연상수)
|
∑k=0 to ∞ 1/(2k+1)!
|
1.1752011936438014568823818505956008151557179813340958702295654130
|
sinh(1)
|
|
| 제타함수(3)
|
∑k=1 to ∞ 1/k^3
|
1.2020569031595942853997381615114499907649862923404988817922715553
|
ζ(3)
|
|
| 제타함수(3)
|
∑k=1 to ∞ 1/k^3
|
1.2020569031595942853997381615114499907649862923404988817922715553
|
ζ(3)
|
|
| 이진수게이츠수
|
∑k=0 to ∞ 1/5^(1/2(k(k+1)))
|
1.2080641024327700971788436143195119203756917117756833733970696616
|
1/2 5^(1/8) EllipticTheta(2, 0, 1/sqrt(5))
|
1.10100100010000100000100000010000000100000000100000000010000000000100000000000._5
|
| 계차수열 원주율
|
∏k=1 to ∞ (k^2)/(k^2-(1/3)^2)
|
1.2091995761561452337293855050947704881893774987284937170465899569
|
(2 π)/(3 √(3))
|
|
| 이진수게이츠수
|
∑k=0 to ∞ 1/4^(1/2(k(k+1)))
|
1.2658700952308663684189213145435434274642654463996387168200533418
|
EllipticTheta(2, 0, 1/2)/2^(3/4)
|
1.10100100010000100000100000010000000100000000100000000010000000000100000000000_4
|
| √√e
|
√√e
|
1.2840254166877414840734205680624364583362808652814630892175072968
|
|
|
| √√pi
|
√√pi
|
1.3313353638003897127975349179502808533093662238181042584537074828
|
|
|
| 이진수게이츠수
|
∑k=0 to ∞ 1/3^(1/2(k(k+1)))
|
1.3717591173580238155812956978716182542687293087045142461214710149
|
1/2 3^(1/8) EllipticTheta(2, 0, 1/sqrt(3))
|
1.10100100010000100000100000010000000100000000100000000010000000000100000000000_3
|
| 쌍곡함수(자연상수)
|
∑k=0 to ∞ 1/(2k)!
|
1.5430806348152437784779056207570616826015291123658637047374022147
|
cosh(1)
|
|
| 황금비 상수
|
φ
|
1.6180339887498948482045868343656381177203091798057628621354486227
|
1/2 (1 + √(5))
|
|
| 이진수게이츠수
|
∑k=0 to ∞ 1/2^(1/2(k(k+1)))
|
1.6416325606551538662938427702254294342260615379567397478046516223...
|
(ϑ_2(0, 1/sqrt(2)))/2^(7/8)
|
1.10100100010000100000100000010000000100000000100000000010000000000100000000000_2
|
| 제타함수(2)
|
∑k=1 to ∞ 1/k^2
|
1.6449340668482264364724151666460251892189499012067984377355582293...
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π^2/6
|
|
| 계차수열 원주율
|
∏k=1 to ∞ (prime(k))^2/ ((prime(k))^2-1)
|
1.6449340668482264364724151666460251892189499012067984377355582293...
|
π^2/6
|
|
| √e
|
√e
|
1.6487212707001281468486507878141635716537761007101480115750793116
|
|
|
| (-(1/2))!
|
(-(1/2))!
|
1.7724538509055160272981674833411451827975494561223871282138077898
|
√(π)
|
|
| √pi
|
√pi
|
1.7724538509055160272981674833411451827975494561223871282138077898
|
|
|
| 란다우 토션트 상수
|
∏k=1 to 300 (1+ 1/((prime(k))((prime(k))-1)))
|
1.9434816076507694083492855001280394129281019775671750504992633986
|
|
|
| 바반 상수
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∏k=1 to 150 (1+(3 (prime(k))^2 -1)/((prime(k))((prime(k))+1)((prime(k))^2-1)))
|
2.5953873666423147630700201890156913931562591705526623961091454911
|
|
|
| 테일러 급수
|
∑k=0 to ∞ 1/k!
|
2.7182818284590452353602874713526624977572470936999595749669676277
|
자연상수
|
|
| 무라타 상수
|
∏p=1 to 300 (1+1/(((prime(p))-1)^2))
|
2.8262529655503272122567456712776844105939894517322440391912805467
|
|
|
| π^e
|
∏k=0 to ∞ pi^(1/k!)
|
22.459157718361045473427152204543735027589315133996692249203002554
|
π^e
|
|
| 겔폰트 상수
|
(-1)^(-i)
|
23.140692632779269005729086367948547380266106242600211993445046409
|
|
|
| 계차수열 원주율
|
∏k=1 to ∞ (k^2)/(k^2-(3/4)^2)
|
3.3321622036187746852619107425455202739609662670317676673140467052
|
(3 π)/(2 √(2))
|
|
| 용현정 상수
|
∑k=0 to ∞ (pi)^(k/2)/((k/2)Γ(k/2))
|
45.999326089382855366274053182700197552864796183587413295777030213
|
e^π + e^π erf(√(π))
|
|
| 계차수열 원주율
|
∏k=1 to ∞ (k^2)/(k^2-(5/6)^2)
|
5.2359877559829887307710723054658381403286156656251763682915743205
|
(5 π)/3
|
|
| 라마누잔 상수
|
∑k=1 to ∞ (k)/(e^(2*pi*k) -1)
|
0.0018779308936928327244457258235380761580517552315525544797498306
|
(-3 + π)/(24 π)
|
|
| 주현준 상수
|
lim n->∞ ((2)^(4n+1) (n!)^4)/((2n)!(2n+1)!)
|
3.1415926535897932384626433832795028841971693993751058209749445923
|
π
|
|
| 삼각함수
|
π=(arcsech(-1)/i)
|
3.1415926535897932384626433832795028841971693993751058209749445923
|
|
|
| 삼각함수
|
π=(2i) arccsch(i)
|
3.1415926535897932384626433832795028841971693993751058209749445923
|
|
|
| 삼각함수
|
π=(4arccoth(-i)/i)
|
3.1415926535897932384626433832795028841971693993751058209749445923
|
|
|
|
|
(-(1/2))!
|
1.7724538509055160272981674833411451827975494561223871282138077898
|
√(π)
|
|
