A073680 a(1) =2, a(2) = 3, a(n+2) = smallest prime such that a(n+2) - a(n+1) is a multiple of a(n).

2, 3, 5, 11, 31, 53, 239, 557, 7727, 11069, 88339, 110477, 1347223, 2672947, 8061839, 24099521, 362696759, 2483454607, 7561209233, 67164119801, 520836673781, 923821392587, 4048841435273, 7744127005621, 129209370063811

Offset

1,1

Comments

One might call them Fibonacci-type primes.

Links

T. D. Noe, Table of n, a(n) for n=1..100

Example

a(6)-a(5) = 53-31 = 22 is a multiple of 11 = a(4).

Prog

(PARI) l=2; h=3; print("2, 3, "); while(l<2^128, t=l+h; while(!isprime(t), t+=l); print1(t, ", "); l=h; h=t)

Crossrefs

Cf. A072999, A072535.

Sequence in context: A360815 A087580 A072535 * A079557 A090709 A357220

Adjacent sequences: A073677 A073678 A073679 * A073681 A073682 A073683

Keyword

nonn

Author

Amarnath Murthy, Aug 11 2002

Extensions

More terms from Phil Carmody, Aug 15 2002

Status

approved