A094810 Primes of the form F(n)*F(n+1)+F(n+2).

3, 5, 11, 23, 53, 307, 769, 5039, 13049, 603667, 1578823, 10810469, 427860443429, 16944504081930151, 31525215457325198354227

Offset: 1

Author

Giovanni Teofilatto, Jun 11 2004

Keywords

• nonn

Comments

Excluding the term a(4)=23, primes p such that p(n) is not a sum of two squares but p(n+1) is a sum of two squares.

Programs

PARI

lista(nn) = {for (n=1, nn, if (isprime(p=fibonacci(n)*fibonacci(n+1) +fibonacci(n+2)), print1(p, ", ")););} \\ Michel Marcus, Jun 03 2013

Formula

5 is in the sequence because F(2)*F(3)+F(4) = 1*2+3=5.

11 is in because F(3)*F(4)+F(5) = 2*3+5 = 11

23 is in because F(4)*F(5)+F(6) = 3*5+8 = 23

A000040 INTERSECT A305412. - R. J. Mathar, Nov 14 2019

Extensions

More terms from Michel Marcus, Jun 03 2013