A232012 Numbers n such that p^2 + n is prime for some prime p.

1, 2, 3, 4, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 18, 19, 20, 22, 24, 25, 27, 28, 30, 32, 33, 34, 36, 37, 38, 39, 40, 42, 43, 44, 46, 48, 49, 50, 52, 54, 55, 57, 58, 60, 62, 63, 64, 66, 67, 69, 70, 72, 74, 75, 76, 78, 79, 80, 82, 84, 85, 88, 90, 92, 93, 94, 96, 97, 98, 99, 100

Offset: 1

Author

Jaroslav Krizek, Nov 22 2013

Keywords

• nonn

Comments

Supersequence of A023200 (primes p such that p + 4 is also prime). Complement of A232010.

Examples

			2 is in sequence because 3^2 + 2 = 11 (3 and 11 are primes).
		

Crossrefs

Cf. A232009, A232010, A232011, A023200.

Programs

Mathematica

Module[{nn=50,prs},prs=Prime[Range[nn]]^2;Select[Range[ 100],AnyTrue[ prs+#,PrimeQ]&]] (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, Nov 04 2020 *)