The On-Line Encyclopedia of Integer Sequences (OEIS)

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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).
(history; published version)

#10 by N. J. A. Sloane at Fri Jul 18 22:28:48 EDT 2014

STATUS

proposed

approved

#9 by Franklin T. Adams-Watters at Fri Jul 18 13:04:51 EDT 2014

STATUS

editing

proposed

#8 by Franklin T. Adams-Watters at Fri Jul 18 13:03:07 EDT 2014

CROSSREFS

Cf. A072999, A072535.

STATUS

approved

editing

#7 by N. J. A. Sloane at Thu Dec 05 19:55:31 EST 2013

AUTHOR

_Amarnath Murthy (amarnath_murthy(AT)yahoo.com), _, Aug 11 2002

Discussion

Thu Dec 05

19:55

OEIS Server: https://oeis.org/edit/global/2075

#6 by Russ Cox at Sat Mar 31 10:23:25 EDT 2012

EXTENSIONS

More terms from _Phil Carmody (pc+oeis(AT)asdf.org), _, Aug 15 2002

Discussion

Sat Mar 31

10:23

OEIS Server: https://oeis.org/edit/global/375

#5 by N. J. A. Sloane at Thu Nov 11 07:34:06 EST 2010

LINKS

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

KEYWORD

nonn,new

nonn

#4 by N. J. A. Sloane at Fri Feb 27 03:00:00 EST 2009

LINKS

T. D. Noe, <a href="http://www.research.att.com/~njas/sequences/b073680.txt">Table of n, a(n) for n=1..100</a>

KEYWORD

nonn,new

nonn

#3 by N. J. A. Sloane at Sat Nov 10 03:00:00 EST 2007

LINKS

T. D. Noe, <a href="http://www.research.att.com/~njas/sequences/b073680.txt">Table of n, a(n) for n=1..100</a>

CROSSREFS

Cf. A072999

KEYWORD

nonn,new

nonn

#2 by N. J. A. Sloane at Fri May 11 03:00:00 EDT 2007

KEYWORD

nonn,new

nonn

EXTENSIONS

More terms from Phil Carmody (pc+oeis(AT)adsfasdf.org), Aug 15 2002

#1 by N. J. A. Sloane at Fri May 16 03:00:00 EDT 2003

NAME

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).

DATA

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.

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)

KEYWORD

nonn

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Aug 11 2002

EXTENSIONS

More terms from Phil Carmody (pc(AT)adsf.org), Aug 15 2002

STATUS

approved