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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). 3

%I #10 Jul 18 2014 22:28:48

%S 2,3,5,11,31,53,239,557,7727,11069,88339,110477,1347223,2672947,

%T 8061839,24099521,362696759,2483454607,7561209233,67164119801,

%U 520836673781,923821392587,4048841435273,7744127005621,129209370063811

%N 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).

%C One might call them Fibonacci-type primes.

%H T. D. Noe, <a href="/A073680/b073680.txt">Table of n, a(n) for n=1..100</a>

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

%o (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)

%Y Cf. A072999, A072535.

%K nonn

%O 1,1

%A _Amarnath Murthy_, Aug 11 2002

%E More terms from _Phil Carmody_, Aug 15 2002

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