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A144840 Numbers k such that the three numbers k-1, k+3 and k+5 are all prime. 1

%I #9 Aug 14 2021 07:50:21

%S 8,14,38,68,98,104,194,224,278,308,458,614,824,854,878,1088,1298,1424,

%T 1448,1484,1664,1694,1784,1868,1874,1994,2084,2138,2378,2684,2708,

%U 2798,3164,3254,3458,3464,3848,4154,4514,4784,5228,5414,5438,5648,5654,5738

%N Numbers k such that the three numbers k-1, k+3 and k+5 are all prime.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/PrimeTriplet.html">Prime Triplet</a>.

%F a(n) = A022005(n) + 1. - _R. J. Mathar_, Sep 24 2008

%o (Python)

%o from sympy import isprime

%o def ok(n): return n > 4 and isprime(n-1) and isprime(n+3) and isprime(n+5)

%o print(list(filter(ok, range(5739)))) # _Michael S. Branicky_, Aug 14 2021

%Y Cf. A022005, A086801, A144834.

%Y Cf. A098413, A144842.

%K easy,nonn

%O 1,1

%A _Giovanni Teofilatto_, Sep 23 2008

%E Definition edited and extended by _R. J. Mathar_, Sep 24 2008

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Last modified April 19 21:09 EDT 2024. Contains 371798 sequences. (Running on oeis4.)