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A092519
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Smallest prime a(n) such that a(n)+6n, a(n)+12n and a(n)+18n are also primes.
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0
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5, 5, 5, 59, 7, 31, 5, 5, 5, 11, 31, 7, 23, 5, 11, 5, 7, 23, 79, 29, 5, 5, 73, 29, 7, 41, 107, 43, 19, 59, 11, 37, 13, 79, 13, 11, 17, 43, 359, 23, 31, 5, 53, 19, 47, 181, 137, 23, 59, 7
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OFFSET
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1,1
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COMMENTS
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LINKS
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EXAMPLE
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a(5) = 7: 7+6(5) = 7+30 = 37 which is prime. 7+12(5) = 7+60 = 67 which is prime. 7+18(5) = 7+90 = 97 which is prime.
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MATHEMATICA
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Module[{nn=100, prs}, prs=Prime[Range[nn]]; Table[SelectFirst[prs, AllTrue[ #+6*Range[3]*n, PrimeQ]&], {n, nn/2}]] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, Dec 22 2018 *)
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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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