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Search: id:A089007
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| A089007 |
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Sequence of primes p(n) such that 2*p(n)+3, 2*p(n+1)+3, 2*p(n+2)+3, 2*p(n+3)+3 are four consecutive primes, where p(i) denotes the i-th prime. |
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4
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| 776117, 2157733, 4387067, 4814597, 5024039, 5437573, 5734693, 7249369, 9140429, 9394813, 9654977, 9654989, 12693013, 13632727, 14199319, 14848513, 15649133, 15677647, 18396449, 23659483, 23743943, 27724843, 28224293, 28677529
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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776117 is in the sequence because it is the 62178th prime, followed by the primes 776119, 776137 and 776143; and 2*776117+3 = 1552237, 2*776119+3 = 1552241, 2*776137+3 = 1552277 and 2*776143+3 = 1552289 which are the 117814th, 117815th, 117816th and 117817th prime respectively.
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MATHEMATICA
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lst = {}; Do[ If[ PrimeQ[2Prime[n] + 3], If[ PrimeQ[2Prime[n + 1] + 3], If[ PrimeQ[2Prime[n + 2] + 3], If[ PrimeQ[2Prime[n + 3] + 3], If[ PrimePi[2Prime[n] + 3] + 3 == PrimePi[2Prime[n + 3] + 3], AppendTo[lst, Prime[n]]] ]]]], {n, 2048081}] (from Robert G. Wilson v Jan 13 2005)
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CROSSREFS
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Subsequence of A088119.
For values of n see A089009: a(n) = A000040(A089009(n)).
Cf. A089492, A089524.
Sequence in context: A122468 A151562 A023348 this_sequence A145687 A157357 A146953
Adjacent sequences: A089004 A089005 A089006 this_sequence A089008 A089009 A089010
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KEYWORD
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nonn
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AUTHOR
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Pierre CAMI (colettecami(AT)aol.com), Nov 03 2003
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EXTENSIONS
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Corrected and extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Nov 04 2003
Entry revised by N. J. A. Sloane (njas(AT)research.att.com), Apr 01 2006
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