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Search: id:A153407
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| A153407 |
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Middle 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
7
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| 4817, 9011, 13841, 33797, 35027, 48341, 51581, 52163, 61331, 62213, 77747, 95111, 102611, 105143, 105683, 109673, 111773, 114797, 119759, 128237, 135389, 136733, 138683, 149213, 153953, 159791, 163211, 165443, 174851, 188681, 195977, 208037
(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, p2]], {n, 8!}]; lst
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CROSSREFS
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Cf. A099349, A153374, A153375, A153376, A153377, A153378, A153379, A153402, A153404, A153405, A153406
Sequence in context: A108010 A029553 A153406 this_sequence A153408 A155511 A031838
Adjacent sequences: A153404 A153405 A153406 this_sequence A153408 A153409 A153410
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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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