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A088563
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Primes p such that the p-th digit in the decimal expansion of Pi is 0.
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5
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107, 271, 331, 367, 409, 521, 619, 683, 751, 839, 857, 997, 1013, 1117, 1123, 1361, 1439, 1483, 1489, 1601, 1607, 1609, 1747, 1831, 1889, 1913, 1999, 2131, 2137, 2251, 2341, 2671, 2819, 2887, 2957, 3011, 3019, 3169, 3203, 3253, 3299, 3331, 3407, 3413
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OFFSET
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1,1
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COMMENTS
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The 9th zero in Pi is in the 107th place of the digits 3,1,4,1,5, ...
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LINKS
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MATHEMATICA
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With[{pidigs=RealDigits[Pi, 10, 10000][[1]]}, Select[Prime[ Range[ 500]], pidigs[[#]]==0&]] (* Harvey P. Dale, Nov 13 2011 *)
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PROG
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(PARI) pizeros(n, d) = { default(realprecision, 5000); p = Pi; v = Vec(Str(p)); for(x=1, n, if(v[x] == Str(d) && isprime(x-1), print1(x-1", ")) ) }
(PARI) A088563_upto(N=3456)={localprec(N+20); [p|p<-primes([1, #N=digits(Pi\10^-N)]), !N[p]]} \\ M. F. Hasler, Jul 29 2024
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CROSSREFS
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Primes in A014976 (positions of '0's in decimal digits of Pi).
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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