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A124411 Numbers k such that 2k+1, 4k+1, 6k+1, 8k+1, 10k+1 and 12k+1 are primes. 6

%I #13 Aug 04 2019 04:23:48

%S 12705,13020,105525,256410,966840,1707510,1944495,2310000,2478630,

%T 3132675,3836070,3976770,4112430,4532325,5499585,5920005,6610485,

%U 7390845,8552250,10739505,11120340,12231450,12338130,13243230,16467255

%N Numbers k such that 2k+1, 4k+1, 6k+1, 8k+1, 10k+1 and 12k+1 are primes.

%H Jinyuan Wang, <a href="/A124411/b124411.txt">Table of n, a(n) for n = 1..100</a>

%t Select[Range[10^7], And @@ PrimeQ /@ ({2, 4, 6, 8, 10, 12}*# + 1) &] (* _Ray Chandler_, Nov 20 2006 *)

%o (PARI) is(k) = sum(j = 1, 6, isprime(2*j*k+1)) == 6; \\ _Jinyuan Wang_, Aug 04 2019

%Y Cf. A005097, A005098, A024899, A005123, A024912, A110801, A123998, A124408, A124409, A124410, A071576.

%K nonn

%O 1,1

%A _Artur Jasinski_, Oct 31 2006

%E Extended by _Ray Chandler_, Nov 20 2006

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Last modified May 14 22:35 EDT 2024. Contains 372533 sequences. (Running on oeis4.)