Search: id:A007693
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%I A007693 M0656
%S A007693 2,3,5,7,11,13,17,23,37,47,61,73,83,101,103,107,131,137,151,173,181,233,
%T A007693 241,257,263,271,277,283,293,311,313,331,347,367,373,397,443,461,467,
%U A007693 503,557,577,593,601,607,641,653,661,683,727,751,761,773,787,797,853
%N A007693 Numbers n such that n and 6n+1 are primes.
%D A007693 Andrew Granville, Sophie Germain's theorem for prime pairs p, 6p+1, J. 
               Number Theory 27 (1987), no. 1, 63-72.
%D A007693 J. Roberts, Lure of the Integers, Math. Assoc. America, 1992, p. 27983
%D A007693 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%F A007693 a(n) = (A051644(n)-1)/6.
%t A007693 Select[Prime@Range[150], PrimeQ[6# + 1] &] (*Chandler*)
%Y A007693 Cf. A002476, A016921, A024899, A051644, A091178.
%Y A007693 Sequence in context: A068669 A100553 A152245 this_sequence A103144 A105909 
               A086498
%Y A007693 Adjacent sequences: A007690 A007691 A007692 this_sequence A007694 A007695 
               A007696
%K A007693 nonn,easy
%O A007693 1,1
%A A007693 N. J. A. Sloane (njas(AT)research.att.com), Robert G. Wilson v (rgwv(AT)rgwv.com)
%E A007693 Extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Mar 14 2007

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