Estadísticas de Distribución de Frecuencia de los Dígitos del 0 al 9 en Pi

Hemos contado las ocurrencias y frecuencias de los dígitos del 0 al 9 en los primeros 100 mil millones de dígitos de pi. Descubrimos que a medida que aumenta el número de dígitos de pi, la frecuencia de los dígitos tiende gradualmente a ser promedio.

En los primeros 100 mil millones de dígitos de pi, desde menos a más dígitos, hemos registrado datos por separado sobre la distribución de 82 conjuntos diferentes de números. Los números de ocurrencias se enumeran arriba y las frecuencias se enumeran a continuación.

Tabla de frecuencia de cada dígito en los primeros 100 mil millones de dígitos de Pi

# Dígitos 0 1 2 3 4 5 6 7 8 9
1 10 00.00% 220.00% 110.00% 220.00% 110.00% 220.00% 110.00% 00.00% 00.00% 110.00%
2 20 00.00% 210.00% 210.00% 420.00% 210.00% 315.00% 15.00% 15.00% 210.00% 315.00%
3 30 00.00% 26.67% 413.33% 723.33% 310.00% 310.00% 310.00% 26.67% 310.00% 310.00%
4 40 12.50% 37.50% 512.50% 717.50% 410.00% 410.00% 37.50% 37.50% 512.50% 512.50%
5 50 12.00% 510.00% 510.00% 918.00% 48.00% 510.00% 48.00% 48.00% 510.00% 816.00%
6 60 35.00% 58.33% 610.00% 915.00% 610.00% 610.00% 46.67% 58.33% 610.00% 1016.67%
7 70 45.71% 68.57% 710.00% 1014.29% 710.00% 710.00% 57.14% 68.57% 710.00% 1115.71%
8 80 67.50% 67.50% 911.25% 1012.50% 810.00% 78.75% 78.75% 67.50% 911.25% 1215.00%
9 90 77.78% 66.67% 1112.22% 1112.22% 910.00% 77.78% 88.89% 66.67% 1213.33% 1314.44%
10 100 88.00% 88.00% 1212.00% 1212.00% 1010.00% 88.00% 99.00% 88.00% 1212.00% 1313.00%
11 200 199.50% 2010.00% 2412.00% 2010.00% 2211.00% 2010.00% 157.50% 126.00% 2512.50% 2311.50%
12 300 268.67% 3010.00% 3511.67% 3110.33% 3712.33% 279.00% 3110.33% 196.33% 3411.33% 3010.00%
13 400 399.75% 4310.75% 4411.00% 4010.00% 4611.50% 399.75% 4210.50% 246.00% 4411.00% 399.75%
14 500 459.00% 5911.80% 5310.60% 5110.20% 5310.60% 5010.00% 489.60% 367.20% 5310.60% 5210.40%
15 600 549.00% 6711.17% 6310.50% 6410.67% 6410.67% 559.17% 6210.33% 508.33% 599.83% 6210.33%
16 700 649.14% 7610.86% 7510.71% 7210.29% 7310.43% 669.43% 7010.00% 659.29% 689.71% 7110.14%
17 800 749.25% 9211.50% 8310.38% 8010.00% 8010.00% 739.13% 779.63% 759.38% 769.50% 9011.25%
18 900 869.56% 10311.44% 9310.33% 9410.44% 899.89% 849.33% 859.44% 839.22% 889.78% 9510.56%
19 1,000 939.30% 11611.60% 10310.30% 10310.30% 939.30% 979.70% 949.40% 959.50% 10110.10% 10510.50%
20 2,000 1829.10% 21210.60% 20710.35% 1899.45% 1959.75% 20510.25% 20010.00% 1979.85% 20210.10% 21110.55%
21 3,000 2598.63% 30810.27% 30310.10% 2668.87% 31810.60% 31510.50% 30210.07% 2879.57% 31010.33% 33211.07%
22 4,000 3629.05% 42910.73% 40810.20% 3699.23% 40510.13% 41710.43% 3979.93% 3779.43% 40510.13% 43110.78%
23 5,000 4669.32% 53110.62% 4969.92% 4609.20% 50810.16% 52510.50% 51310.26% 4889.76% 4929.84% 52110.42%
24 6,000 5569.27% 62610.43% 5949.90% 5739.55% 61310.22% 62210.37% 61910.32% 60610.10% 5829.70% 60910.15%
25 7,000 6579.39% 73310.47% 6929.89% 6879.81% 70210.03% 73010.43% 70810.11% 6939.90% 6809.71% 71810.26%
26 8,000 7549.43% 83310.41% 81110.14% 7829.78% 80910.11% 83410.43% 81610.20% 7859.81% 7649.55% 81210.15%
27 9,000 8559.50% 93610.40% 91110.12% 8859.83% 91010.11% 93210.36% 91410.16% 8839.81% 8549.49% 92010.22%
28 10,000 9689.68% 102610.26% 102110.21% 9759.75% 101210.12% 104610.46% 102110.21% 9709.70% 9479.47% 101410.14%
29 20,000 19549.77% 19979.99% 19869.93% 19879.94% 204310.22% 208210.41% 201710.09% 19539.77% 19619.81% 202010.10%
30 30,000 29989.99% 304810.16% 28979.66% 29799.93% 305710.19% 304910.16% 301210.04% 29749.91% 29729.91% 301410.05%
31 40,000 39899.97% 406010.15% 38929.73% 39729.93% 401410.04% 404010.10% 402610.07% 39779.94% 403210.08% 399810.00%
32 50,000 503310.07% 505410.11% 48679.73% 49489.90% 501110.02% 505210.10% 501810.04% 49779.95% 503010.06% 501010.02%
33 60,000 600910.02% 607110.12% 58949.82% 59769.96% 59839.97% 608610.14% 59809.97% 59959.99% 601510.03% 59919.99%
34 70,000 69929.99% 710610.15% 68929.85% 701810.03% 69489.93% 703310.05% 69669.95% 704710.07% 701310.02% 69859.98%
35 80,000 79729.97% 814110.18% 79209.90% 79769.97% 79579.95% 804410.06% 802510.03% 803110.04% 79539.94% 79819.98%
36 90,000 89909.99% 919310.21% 88879.87% 902010.02% 89579.95% 902610.03% 89929.99% 902810.03% 89539.95% 89549.95%
37 100,000 999910.00% 1013710.14% 99089.91% 1002610.03% 99719.97% 1002610.03% 1002810.03% 1002510.03% 99789.98% 99029.90%
38 200,000 2010410.05% 2006310.03% 198929.95% 2001110.01% 198749.94% 2019910.10% 198989.95% 2016310.08% 199559.98% 198419.92%
39 300,000 3000110.00% 3003410.01% 298799.96% 3013910.05% 298449.95% 3027210.09% 298909.96% 3022610.08% 299269.98% 297899.93%
40 400,000 4001310.00% 4006910.02% 398139.95% 4009810.02% 4009310.02% 4026110.07% 398599.96% 4027810.07% 398149.95% 397029.93%
41 500,000 499159.98% 4998410.00% 497529.95% 5000110.00% 5035710.07% 5023510.05% 498249.96% 5023010.05% 499119.98% 497919.96%
42 600,000 6001910.00% 598749.98% 596279.94% 6005110.01% 6047510.08% 6017710.03% 597619.96% 6014510.02% 6001510.00% 598569.98%
43 700,000 7003710.01% 698399.98% 697969.97% 6999410.00% 7060110.09% 7018010.03% 695779.94% 6997610.00% 7013810.02% 698629.98%
44 800,000 799499.99% 798519.98% 798729.98% 7996310.00% 8044710.06% 8029810.04% 796509.96% 798839.99% 8016710.02% 799209.99%
45 900,000 8999510.00% 897789.98% 899129.99% 9007010.01% 9033010.04% 9018010.02% 895749.95% 898659.99% 9021410.02% 9008210.01%
46 1,000,000 9995910.00% 997579.98% 10002610.00% 10023010.02% 10023010.02% 10035910.04% 995489.95% 998009.98% 9998510.00% 10010610.01%
47 2,000,000 1997929.99% 1995359.98% 20007710.00% 20014210.01% 20008310.00% 20052110.03% 1994039.97% 20031010.02% 1994479.97% 20069010.03%
48 3,000,000 2994519.98% 2996409.99% 29986710.00% 30031110.01% 30023410.01% 30034210.01% 2994619.98% 30065510.02% 2994409.98% 30059910.02%
49 4,000,000 3994189.99% 3994639.99% 39982210.00% 39991410.00% 40079210.02% 40003210.00% 3990329.98% 40065010.02% 40018310.00% 40069410.02%
50 5,000,000 4996209.99% 49989810.00% 4995089.99% 49993410.00% 50054410.01% 50002410.00% 4987589.98% 50088010.02% 49988010.00% 50095410.02%
51 6,000,000 5994769.99% 60034610.01% 5996829.99% 59997710.00% 60035710.01% 59976910.00% 5984389.97% 60077910.01% 60025510.00% 60092110.02%
52 7,000,000 6993239.99% 70045610.01% 69994810.00% 70033010.00% 70026610.00% 69983710.00% 6984289.98% 70041010.01% 70055110.01% 70045110.01%
53 8,000,000 7991119.99% 80011010.00% 79978810.00% 80023510.00% 80020110.00% 80015410.00% 7988859.99% 80056010.01% 80063810.01% 80031810.00%
54 9,000,000 8988249.99% 89991010.00% 89996110.00% 89982210.00% 90094910.01% 90063210.01% 8992439.99% 90044510.00% 90020910.00% 90000510.00%
55 10,000,000 9994409.99% 9993339.99% 100030610.00% 99996510.00% 100109310.01% 100046610.00% 9993379.99% 100020610.00% 99981410.00% 100004010.00%
56 20,000,000 200116210.01% 199983210.00% 200140910.01% 199934410.00% 200110510.01% 200012510.00% 199926910.00% 19984049.99% 199972010.00% 199963010.00%
57 30,000,000 299915710.00% 300055310.00% 300096910.00% 299922310.00% 300259310.01% 299999710.00% 299954810.00% 29981759.99% 299959210.00% 300019310.00%
58 40,000,000 399862010.00% 400068910.00% 400175410.00% 399904610.00% 400229710.01% 400067810.00% 399880410.00% 399868510.00% 399871110.00% 400071610.00%
59 50,000,000 499963210.00% 500222010.00% 500057310.00% 499863110.00% 500400810.01% 499979710.00% 499801710.00% 499889510.00% 499849410.00% 499973310.00%
60 60,000,000 600098910.00% 600295710.00% 600049610.00% 599806610.00% 600357310.01% 599845410.00% 599777610.00% 599849910.00% 599966610.00% 599952410.00%
61 70,000,000 699875210.00% 700422910.01% 700075510.00% 699958210.00% 700296210.00% 699686210.00% 699793310.00% 699851410.00% 700096510.00% 699944610.00%
62 80,000,000 799880710.00% 800278810.00% 800182710.00% 799765710.00% 800352510.00% 799650010.00% 799816510.00% 799938910.00% 800030810.00% 800103410.00%
63 90,000,000 899906110.00% 900229910.00% 900183210.00% 899911510.00% 900443710.00% 89948369.99% 899890210.00% 899896310.00% 900094710.00% 899960810.00%
64 100,000,000 999992210.00% 1000247510.00% 1000109110.00% 999844310.00% 1000386310.00% 99934789.99% 999941710.00% 999961010.00% 1000218010.00% 999952110.00%
65 200,000,000 1999743710.00% 2000377410.00% 2000218510.00% 2000141110.00% 1999984610.00% 1999303110.00% 1999916110.00% 2000028710.00% 2000230710.00% 2000056110.00%
66 300,000,000 2999835610.00% 3000058210.00% 3000633710.00% 2999986810.00% 2999981010.00% 2999309910.00% 2999891310.00% 2999907110.00% 3000368210.00% 3000028210.00%
67 400,000,000 3999604810.00% 3999737510.00% 4001179110.00% 3999503010.00% 4000101410.00% 3999212310.00% 4000189910.00% 4000031410.00% 4000573510.00% 3999867110.00%
68 500,000,000 4999527910.00% 5000043710.00% 5001143610.00% 4999241010.00% 5000512110.00% 4999067810.00% 4999882010.00% 5000031910.00% 5000663210.00% 4999886810.00%
69 600,000,000 5999172510.00% 5999759710.00% 6000859110.00% 5999255910.00% 6000799010.00% 5999021110.00% 6000389510.00% 5999877210.00% 6001095810.00% 5999770210.00%
70 700,000,000 6998989110.00% 6999775510.00% 7000649710.00% 6999402910.00% 7000958110.00% 6999453610.00% 7000379510.00% 6999701410.00% 7000516110.00% 7000174110.00%
71 800,000,000 7999189710.00% 7999700310.00% 8000331610.00% 7998965210.00% 8001607310.00% 7999612010.00% 8000414810.00% 7999510910.00% 8000293210.00% 8000375010.00%
72 900,000,000 8999120810.00% 8999838110.00% 9000096810.00% 8999008410.00% 9001313210.00% 8999608610.00% 9000641210.00% 8999565810.00% 9000197910.00% 9000609210.00%
73 1,000,000,000 9999394210.00% 9999733410.00% 10000241010.00% 9998691210.00% 10001195810.00% 9999888510.00% 10001038710.00% 9999606110.00% 10000183910.00% 10000027210.00%
74 2,000,000,000 19999431610.00% 19999528410.00% 19999257510.00% 19999947110.00% 20001436810.00% 19998985210.00% 20000478510.00% 19997929310.00% 20001784410.00% 20001221210.00%
75 3,000,000,000 29999914310.00% 29999593210.00% 29998912610.00% 29999229110.00% 30000225710.00% 29997901610.00% 30002544710.00% 29997551010.00% 30001654910.00% 30002472910.00%
76 4,000,000,000 40000123310.00% 40000228510.00% 39996540510.00% 39998447010.00% 40000693610.00% 39998905210.00% 40003303410.00% 39999612210.00% 40000474110.00% 40001672210.00%
77 5,000,000,000 49998900110.00% 50003412710.00% 49998494910.00% 49999032210.00% 49997828410.00% 49999535210.00% 50001981810.00% 50000170210.00% 49999052210.00% 50001592310.00%
78 6,000,000,000 59996300510.00% 60003326010.00% 59999916910.00% 60000024410.00% 59995743910.00% 60001717610.00% 60001658810.00% 60000904310.00% 59998703810.00% 60001703810.00%
79 7,000,000,000 69997157910.00% 70003228710.00% 70001446210.00% 69999086510.00% 69995649110.00% 70000709510.00% 70000146010.00% 70000794310.00% 69999152210.00% 70002629610.00%
80 8,000,000,000 79995983910.00% 80003117210.00% 80001683410.00% 79998588710.00% 79994299110.00% 79999530210.00% 80000338310.00% 80001274510.00% 80001122910.00% 80004061810.00%
81 9,000,000,000 89995781310.00% 90003037510.00% 90001614110.00% 89999275310.00% 89994181010.00% 89999775010.00% 90000218310.00% 90002338110.00% 89999171810.00% 90004607610.00%
82 10,000,000,000 99996799410.00% 100003779010.00% 100001727110.00% 99997648410.00% 99993768810.00% 100000792810.00% 99998573110.00% 100004133010.00% 99999177210.00% 100003601210.00%

Distribución de dígitos en Pi

Después de contar las ocurrencias de los dígitos del 0 al 9 en los primeros 100 mil millones de dígitos de pi, podemos descubrir fácilmente que los dígitos de pi están distribuidos de manera aleatoria y uniforme. Las frecuencias de los dígitos del 0 al 9 son iguales.

Origen de los datos de Pi

Proporcionamos la descarga de los primeros 100 mil millones de dígitos de pi. Puede descargar los datos de pi desde la página de descargas y analizar o compilar los datos por sí mismo.

Haz clic para ir a la página de descarga de pi.