A088563 Primes p such that the p-th digit in the decimal expansion of Pi is 0.

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

Offset

1,1

Comments

The 9th zero in Pi is in the 107th place of the digits 3,1,4,1,5, ...

Links

Harvey P. Dale, Table of n, a(n) for n = 1..2000

Mathematica

With[{pidigs=RealDigits[Pi, 10, 10000][[1]]}, Select[Prime[ Range[ 500]], pidigs[[#]]==0&]] (* Harvey P. Dale, Nov 13 2011 *)

Prog

(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

Crossrefs

Primes in A014976 (positions of '0's in decimal digits of Pi).

Cf. A088565 - A088566 (the same for digits 1 and 2), A000796 (decimal digits of Pi).

Sequence in context: A089635 A248402 A201220 * A142222 A123300 A238669

Adjacent sequences: A088560 A088561 A088562 * A088564 A088565 A088566

Keyword

nonn,base

Author

Cino Hilliard, Nov 19 2003

Status

approved