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Search: id:A153408
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| A153408 |
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Larger 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
6
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| 4831, 9013, 13859, 33809, 35051, 48353, 51593, 52177, 61333, 62219, 77761, 95131, 102643, 105167, 105691, 109717, 111779, 114799, 119771, 128239, 135391, 136739, 138727, 149239, 153991, 159793, 163223, 165449, 174859, 188687, 195991, 208049
(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, p3]], {n, 8!}]; lst
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CROSSREFS
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Cf. A099349, A153374, A153375, A153376, A153377, A153378, A153379, A153402, A153404, A153405, A153406, A153407
Sequence in context: A029553 A153406 A153407 this_sequence A155511 A031838 A031826
Adjacent sequences: A153405 A153406 A153407 this_sequence A153409 A153410 A153411
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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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