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Search: id:A153406
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| A153406 |
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Smaller of 3 consecutive prime numbers such that p1*p2*p3+d1+d2+1=average of twin prime pairs, d1(delta)=p2-p1,d2(delta)=p3-p2. |
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+0
8
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| 4813, 9007, 13831, 33791, 35023, 48337, 51577, 52153, 61297, 62207, 77743, 95107, 102607, 105137, 105673, 109663, 111767, 114781, 119747, 128221, 135367, 136727, 138679, 149197, 153949, 159787, 163199, 165437, 174829, 188677, 195973, 208009
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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4813*4817*4831+4+14=112002971670+-1=primes,...
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MATHEMATICA
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lst={}; Do[p1=Prime[n]; p2=Prime[n+1]; p3=Prime[n+2]; d1=p2-p1; d2=p3-p2; a=p1*p2*p3+d1+d2+1; If[PrimeQ[a-1]&&PrimeQ[a+1], AppendTo[lst, p1]], {n, 8!}]; lst
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CROSSREFS
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Cf. A099349, A153374, A153375, A153376, A153377, A153378, A153379, A153402, A153404, A153405
Sequence in context: A035786 A108010 A029553 this_sequence A153407 A153408 A155511
Adjacent sequences: A153403 A153404 A153405 this_sequence A153407 A153408 A153409
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KEYWORD
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nonn
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AUTHOR
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Vladimir Orlovsky (4vladimir(AT)gmail.com), Dec 25 2008
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