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A143726
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Middle members of beastly cousin prime triples: primes p such that both p+666 and p-666 are prime.
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1
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733, 773, 823, 857, 877, 947, 997, 1033, 1087, 1123, 1213, 1223, 1283, 1307, 1327, 1423, 1487, 1607, 1993, 2027, 2137, 2153, 2237, 2273, 2287, 2333, 2543, 2663, 2677, 2693, 2797, 2803, 2917, 3187, 3257, 3323, 3407, 3433, 3463, 3467, 3593, 3623, 3847
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OFFSET
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1,1
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LINKS
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EXAMPLE
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733 - 666 = 67, 733 + 666 = 1399 and 67, 733, 1399 are all prime, so 733 is a term of the sequence. - Felix Fröhlich, May 26 2022
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MATHEMATICA
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lst={}; b=666; Do[p=Prime[n]; If[PrimeQ[p+b]&&PrimeQ[p-b], AppendTo[lst, p]], {n, 5!+2, 7!}]; lst
Select[Prime[Range[122, 600]], AllTrue[#+{666, -666}, PrimeQ]&] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, Apr 08 2018 *)
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PROG
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(PARI) forprime(p=1, 3900, if(ispseudoprime(p+666) && ispseudoprime(p-666), print1(p, ", "))) \\ Felix Fröhlich, May 26 2022
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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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