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%I #15 Dec 17 2019 07:38:39
%S 1,2,3,4,5,6,7,8,9,10,11,12,13,21,22,37,39,40,41,42,51,53,54,59,64,71,
%T 80,82,83,94,102,103,105,106,110,114,118,128,143,144,156,166,167,169,
%U 172,183,192,193,199,218,222,224,227,234,235,236,253,258,259,265,266
%N Numbers k such that 60*k^2 + 30*k - 30 +- 1 is a twin prime pair.
%C Some consecutive terms in this sequence are (102:103), (105:106), (143:144), ... (1320071:1320072), (1320250:1320251) ... Conjecture: There are infinitely many of these consecutive pairs.
%D David Wells, Prime Numbers: The Most Mysterious Figures in Math, John Wiley & Sons, 2005, p. 231.
%H Amiram Eldar, <a href="/A108897/b108897.txt">Table of n, a(n) for n = 1..10000</a>
%e 1 is in the sequence since 60*1^2 + 30*1 - 30 = 60 and {59, 61} are twin primes.
%t lst={}; Do[If[PrimeQ[60*n^2+30*n-30-1]&&PrimeQ[60*n^2+30*n-30+1], AppendTo[lst, n]], {n, 10^3}]; lst (* _Vladimir Joseph Stephan Orlovsky_, Aug 08 2008 *)
%Y Cf. A001097, A001359, A006512.
%K easy,nonn
%O 1,2
%A _Jason Earls_, Jul 16 2005
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