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A153374
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Smaller of two consecutive prime numbers such that p0+p1=average of twin prime pairs and p0*p1+7=average of twin prime pairs.
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16
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5, 13, 1039, 2753, 3343, 22381, 45979, 88223, 92317, 135221, 154153, 233323, 287149, 344221, 365293, 392723, 479629, 549739, 574363, 650581, 659423, 666079, 749803, 786949, 869059, 959723, 1023521, 1045027, 1161841, 1180423, 1193021
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OFFSET
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1,1
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COMMENTS
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5+7=12+-1=primes, 5*7+7=42+-1=primes; 13+17=30+-1=primes, 13*17+7=228+-1=primes;...
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LINKS
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MATHEMATICA
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lst={}; Do[p0=Prime[n]; p1=Prime[n+1]; a=p0+p1; b=p0*p1+7; If[PrimeQ[a-1]&&PrimeQ[a+1]&&PrimeQ[b-1]&&PrimeQ[b+1], AppendTo[lst, p0]], {n, 9!}]; lst
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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