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A130286
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Strongly-single primes: primes p such that neither previousprime(p) nor nextprime(p) is a twin prime.
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2
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83, 89, 127, 163, 167, 257, 331, 359, 367, 373, 379, 383, 389, 397, 401, 443, 449, 479, 487, 491, 499, 503, 547, 557, 587, 677, 683, 691, 701, 709, 719, 727, 733, 739, 743, 751, 757, 761, 769, 773, 787, 907, 911, 919, 929, 937, 941, 947, 953, 967, 971, 977
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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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PrimeNext[n_]:=Module[{k}, k=n+1; While[ !PrimeQ[k], k++ ]; k]; PrimePrev[n_]:=Module[{k}, k=n-1; While[ !PrimeQ[k], k-- ]; k]; lst={}; Do[p=Prime[n]; If[ !PrimeQ[p-2]&&!PrimeQ[PrimePrev[p]-2]&&!PrimeQ[p+2]&&!PrimeQ[PrimeNext[p]+2], AppendTo[lst, p]], {n, 6!}]; lst (* Vladimir Joseph Stephan Orlovsky, Jul 21 2009 *)
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PROG
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(Magma) f:=func<p|NextPrime(p)>; g:=func<p|PreviousPrime(p)>; [p: p in PrimesInInterval(5, 1000)| not IsPrime(f(p)-2) and not IsPrime(g(p)+2) and not IsPrime(f(f(p))-2) and not IsPrime(g(g(p))+2)]; // Marius A. Burtea, Jan 02 2020
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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