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A144050
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Primes p such that p-2, p-6, p-12, p-20, p-30, and p-42 are prime.
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1
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73, 109, 113173, 340939, 348463, 669679, 752293, 855739, 1107793, 1225129, 1416073, 3312193, 3319639, 3586909, 3804949, 4252123, 4867339, 4956823, 5327899, 5647513, 6057199, 6264373, 6929443, 8248069, 8422243, 8688613, 9189139, 10016563, 10499329, 10671319
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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[p1=Prime[n]; If[PrimeQ[p2=p1-2]&&PrimeQ[p3=p1-6]&&PrimeQ[p4=p1-12]&&PrimeQ[p5=p1-20]&&PrimeQ[p6=p1-30]&&PrimeQ[p7=p1-42], AppendTo[lst, p1]], {n, 10^5}]; lst
Select[Prime[Range[9, 710000]], AllTrue[#+{-2, -6, -12, -20, -30, -42}, PrimeQ]&] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, Jun 01 2018 *)
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PROG
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(PARI) p=2; q=3; forprime(r=5, 4e9, if(p+6==r&&isprime(r-12)&&isprime(r-20)&&isprime(r-30)&&isprime(r-42), print1(r", ")); p=q; q=r) \\ Charles R Greathouse IV, Oct 04 2011
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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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