A387703 Primes p such that p + 10^i are prime for i from 1 to 5.

1399, 3457, 25339, 33403, 41131, 75991, 76243, 78301, 97453, 123493, 124669, 230719, 237691, 248779, 264739, 267637, 270451, 308713, 313879, 319591, 325681, 346933, 379189, 399391, 406573, 483853, 502543, 568609, 670039, 707923, 767857, 772393, 971683, 1080757, 1151317, 1187353, 1202221, 1256611

Offset

1,1

Comments

There are no primes p such that p + 10^i are prime for i from 1 to 6, because at least one of p and p + 10^i for i from 1 to 6 is divisible by 7.

All terms == 13 (mod 42).

Links

Robert Israel, Table of n, a(n) for n = 1..10000

Example

a(3) = 25339 is a term because 25339, 25349, 25439, 26339, 35339, and 125339 are all prime.

Maple

select(t -> andmap(isprime, [t, t+10, t+10^2, t+10^3, t+10^4, t+10^5]),
[seq(i, i=13 .. 10^7, 42)]);

Mathematica

Select[Prime[Range[10^5]], AllTrue[{#+10, #+10^2, #+10^3, #+10^4, #+10^5}, PrimeQ]&] (* James C. McMahon, Oct 16 2025 *)

Crossrefs

Sequence in context: A110844 A015990 A065214 * A336738 A271549 A203918

Adjacent sequences: A387700 A387701 A387702 * A387704 A387705 A387706

Keyword

nonn

Author

Zak Seidov and Robert Israel, Oct 11 2025

Status

approved