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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
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 (list; graph; refs; listen; history; text; internal format)
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: A334814 A087580 A072535 * A079557 A090709 A112279

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

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Last modified August 8 11:31 EDT 2020. Contains 336298 sequences. (Running on oeis4.)