A088566 Primes p such that the p-th digit in the decimal expansion of Pi is 2.

7, 17, 29, 103, 113, 137, 281, 293, 457, 463, 547, 601, 631, 823, 1051, 1091, 1109, 1201, 1231, 1283, 1301, 1327, 1399, 1427, 1447, 1487, 1523, 1621, 1663, 1733, 1847, 1907, 1949, 2099, 2141, 2281, 2297, 2309, 2377, 2767, 3023, 3037, 3119, 3121, 3391, 3457

Offset

1,1

Links

Table of n, a(n) for n=1..46.

Example

In the decimal digits of Pi = 3.14159265... the first 2 occurs as the 7th digit, and 7 is prime; therefore a(1) = 7.

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) A088566_upto(N=3456, d=2)={localprec(N+20); [p|p<-primes([1, #N=digits(Pi\10^-N)]), N[p]==d]} \\ M. F. Hasler, Jul 28 2024

Crossrefs

Primes in A053746.

Cf. A088563 (similar for digits 0), A088565 (for digits 1),

Cf. A000796 (decimal digits of Pi).

Sequence in context: A157417 A356293 A294133 * A059845 A006142 A228345

Adjacent sequences: A088563 A088564 A088565 * A088567 A088568 A088569

Keyword

nonn,base

Author

Cino Hilliard, Nov 19 2003

Status

approved