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

Author

Cino Hilliard, Nov 19 2003

Keywords

• nonn
• base

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

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).

Programs

Mathematica

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

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