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A168536
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The lesser of twin primes p such that p*q+a+b+c are also the lesser of twin primes, (p and q are twin primes, p+2=q, a=p-1,b=(p+q)/2,c=q+1).
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2
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11, 101, 179, 347, 569, 1049, 1229, 1301, 1487, 1667, 3557, 4127, 6089, 6761, 8627, 9041, 10067, 11939, 12251, 14321, 19421, 25847, 28571, 29207, 30011, 30869, 31541, 33329, 33587, 36791, 38459, 39509, 39839, 40427, 43049, 49529, 50591, 50969
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OFFSET
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1,1
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LINKS
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MATHEMATICA
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lst={}; Do[p=Prime[n]; q=p+2; If[PrimeQ[q], a=p-1; b=p+1; c=q+1; If[PrimeQ[p*q+a+b+c]&&PrimeQ[p*q+a+b+c+2], AppendTo[lst, p]]], {n, 8!}]; lst
Select[Partition[Prime[Range[5300]], 2, 1], #[[2]]-#[[1]]==2&&AllTrue[#[[1]]^2+5#[[1]]+{3, 5}, PrimeQ]&][[;; , 1]] (* Harvey P. Dale, Sep 23 2023 *)
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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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