A181422 Primes such that the square of the sum of itself and next prime when added to 3 is a prime.

3, 23, 53, 83, 167, 211, 233, 251, 263, 331, 373, 443, 653, 727, 947, 977, 997, 1033, 1117, 1201, 1217, 1231, 1237, 1381, 1453, 1493, 1621, 1901, 1913, 1973, 2069, 2161, 2207, 2671, 2837, 2897, 3061, 3331, 3691, 3733, 3989, 4073, 4253, 4283, 4373, 4397

Offset

1,1

Comments

[p(i)+p(i+1)]^2+3 is a prime.

Links

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

Example

a(5) = 167 since (167+173)^2+3 = 340^2+3 = 115600+3 = 115603 is a prime.

Prog

(PARI) isok(n) = (isprime(n) && isprime(3+(n + nextprime(n+1))^2)) \\ Michel Marcus, Jul 18 2013

Crossrefs

Cf. A000045, A181421.

Sequence in context: A299571 A032003 A031907 * A082244 A232193 A141047

Adjacent sequences: A181419 A181420 A181421 * A181423 A181424 A181425

Keyword

nonn

Author

Carmine Suriano, Oct 18 2010

Extensions

1201 and 1217 inserted by R. J. Mathar, Oct 18 2010

Status

approved