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A051654

Primes p such that 30030*p + 1 is also prime.

5, 11, 13, 29, 31, 41, 47, 61, 67, 79, 89, 127, 139, 149, 179, 181, 191, 197, 269, 307, 337, 347, 367, 383, 421, 467, 487, 541, 547, 569, 613, 641, 727, 809, 811, 821, 823, 883, 887, 941, 1031, 1033, 1087, 1093, 1103, 1117, 1193, 1201, 1237, 1259, 1279, 1283

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OFFSET

1,1

LINKS

Michael De Vlieger, Table of n, a(n) for n = 1..10000

FORMULA

a(n) = (A051651(n)-1)/30030. - Amiram Eldar, Feb 24 2025

EXAMPLE

p = 5 and 30030*p + 1 = 150151 are both primes.

MATHEMATICA

Select[Prime@ Range@ 210, PrimeQ[30030 # + 1] &] (* Michael De Vlieger, Aug 15 2017 *)

PROG