Search: id:A067604
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%I A067604
%S A067604 3,7,23,359,139,467,293,3391,1259,17519,3739,7079,12011,52639,18869,
%T A067604 66239,77383,27143,51071,76039,119447,76163,91033,226943,206699,894451,
%U A067604 327347,492911,399793,195599,313409,981823,829883,1169939,302329
%N A067604 Smallest prime p of two consecutive primes, p < q, such that the GCD( 
               p+1, q+1 ) = 2n.
%C A067604 Since all consecutive primes, p < q and p greater than 2, are odd, therefore 
               the GCD( p+1, q+1 ) must be even.
%e A067604 a(1) = 3, the 3rd prime being the first entry in A066940, a(2) = 7, the 
               4th prime being the first entry in A066941, a(3) = 23, the 9th prime 
               being of the first entry in A066942, a(4) = 359, the 72rd prime being 
               the first entry in A066943, a(5) = 139, the 34th prime being the 
               first entry in A066944.
%t A067604 a = Table[0, {100}]; p = 3; q = 5; Do[q = Prime[n + 1]; d = GCD[p + 1, 
               q + 1]/2; If[d < 101 && a[[d]] == 0, a[[d]] = n]; b = c, {n, 2, 10^7}]; 
               Prime[a]
%Y A067604 Cf. A066940, A066941, A066942, A066944 & A067603.
%Y A067604 Sequence in context: A060235 A090188 A001773 this_sequence A090118 A099183 
               A110864
%Y A067604 Adjacent sequences: A067601 A067602 A067603 this_sequence A067605 A067606 
               A067607
%K A067604 easy,nonn
%O A067604 1,1
%A A067604 Robert G. Wilson v (rgwv(AT)rgwv.com), Jan 31 2002

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