A333199 Primes in A180646.

3, 5, 17, 23, 53, 101, 107, 167, 191, 281, 431, 467, 503, 617, 683, 701, 761, 881, 887, 983, 1181, 1283, 1787, 1871, 1877, 1907, 1913, 1973, 1997, 2081, 2111, 2207, 2213, 2441, 2591, 2861, 2903, 2957, 3011, 3023, 3137, 3167, 3257, 3557, 3617, 3797, 3821, 3833, 3917, 4013, 4373, 4421, 4517, 4523

Offset

1,1

Comments

Primes p such that (p-1)^3+3 is prime.

Except for 3, all terms == 5 (mod 6).

Links

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

Example

a(3) = 17 is in the sequence because 17 is prime and (17-1)^3+3 = 4099 is prime.

Maple

select(p -> isprime((p-1)^3+3, [seq(ithprime(i), i=1..1000)]);

Crossrefs

Cf. A180646.

Sequence in context: A154608 A024862 A025106 * A203193 A079649 A354724

Adjacent sequences: A333196 A333197 A333198 * A333200 A333201 A333202

Keyword

nonn

Author

Robert Israel, Mar 11 2020

Status

approved