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Search: id:A073680
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| A073680 |
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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). |
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2
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| 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; listen)
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OFFSET
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1,1
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COMMENT
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One might call them Fibonacci-type primes.
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..100
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EXAMPLE
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a(6)-a(5) = 53-31 = 22 is a multiple of 11 = a(4).
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PROGRAM
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(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)
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CROSSREFS
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Cf. A072999
Sequence in context: A103596 A087580 A072535 this_sequence A079557 A090709 A112279
Adjacent sequences: A073677 A073678 A073679 this_sequence A073681 A073682 A073683
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KEYWORD
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nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Aug 11 2002
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EXTENSIONS
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More terms from Phil Carmody (pc+oeis(AT)asdf.org), Aug 15 2002
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