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A046123
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Third member of a sexy prime quadruple: value of p+12 such that p, p+6, p+12 and p+18 are all prime.
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5
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17, 23, 53, 73, 263, 613, 653, 1103, 1493, 1613, 1753, 1873, 2383, 2683, 3313, 3923, 4013, 5113, 5393, 5443, 5653, 6323, 6373, 9473, 11833, 12113, 12653, 13463, 14633, 14753, 15803, 15913, 17483, 18223, 19483, 20353, 21493, 23333, 24103
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OFFSET
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1,1
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COMMENTS
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Is 17 the only term that is not equal to 3 mod 10? It is the only such term up to the one millionth prime. - Harvey P. Dale, Jan 25 2023
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LINKS
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Eric Weisstein's World of Mathematics, Sexy Primes. [The definition in this webpage is unsatisfactory, because it defines a "sexy prime" as a pair of primes.- N. J. A. Sloane, Mar 07 2021].
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FORMULA
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MATHEMATICA
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Select[Prime[Range[3000]], AllTrue[#+{-12, -6, 6}, PrimeQ]&] (* Harvey P. Dale, Jan 25 2023 *)
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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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