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A145473
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Primes p such that (11 + p)/2 is prime.
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2
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3, 11, 23, 47, 71, 83, 107, 131, 167, 191, 251, 263, 347, 383, 443, 467, 491, 503, 683, 827, 887, 911, 947, 971, 1031, 1103, 1163, 1187, 1223, 1283, 1307, 1427, 1511, 1583, 1607, 1667, 1811, 1847, 1871, 1931, 2027, 2087, 2111, 2207, 2351, 2423, 2447, 2543
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OFFSET
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1,1
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COMMENTS
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All these primes are congruent to 3 mod 4 and (with the exception of the first term) to 11 mod 12.
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LINKS
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MATHEMATICA
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aa = {}; k = 11; Do[If[PrimeQ[(k + Prime[n])/2], AppendTo[aa, Prime[n]]], {n, 1, 500}]; aa
Select[Prime[Range[400]], PrimeQ[(#+11)/2]&] (* Harvey P. Dale, Apr 15 2012 *)
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PROG
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(PARI) first(n)=my(t=1, p, i=1); while(i<n, p=prime(i); i=i+1; if(p>2&&isprime((11+p)/2), print1(p, ", "))) \\ Anders Hellström, Jan 22 2017
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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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