A238664 - OEIS

A238664

Primes p such that (p+2)^2+2 is prime but (p+1)^2+1 is not prime.

7, 31, 37, 43, 79, 97, 103, 241, 271, 307, 367, 373, 421, 499, 547, 571, 601, 607, 709, 751, 883, 907, 967, 1033, 1129, 1213, 1231, 1237, 1327, 1423, 1597, 1609, 1621, 1747, 1801, 1867, 1933, 1951, 1993, 2017, 2131, 2137, 2203, 2221, 2281, 2287, 2647, 2659

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OFFSET

1,1

LINKS

Alois P. Heinz, Table of n, a(n) for n = 1..10000

MATHEMATICA

Select[Prime[Range[400]], PrimeQ[(#+2)^2+2]&&CompositeQ[(#+1)^2+1]&] (* Harvey P. Dale, Jul 07 2019 *)

CROSSREFS

Column k=2 of A238086.

Sequence in context: A205711 A040064 A241101 * A272201 A325423 A309381

Adjacent sequences: A238661 A238662 A238663 * A238665 A238666 A238667

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Mar 02 2014

STATUS

approved