Search: id:A119740
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%I A119740
%S A119740 298693,346501,1841141,2192933,2861461,3106981,3375781,3435589,3437813,
%T A119740 3865429,4597013,6191461,7016213,7074901,7637941,7918373,9196309,
%U A119740 10216901,12798901,13747429,14100661,14171653,14770981,14779189
%N A119740 Primes p such that p+1, p+2, p+3, p+4, p+5 and p+6 have equal number 
               of divisors.
%e A119740 298693 is OK since 298694, 298695, 298696, 298697, 298698 and 298699 
               all have 8 divisors:
%e A119740 {1,2,11,22,13577,27154,149347,298694}, {1,3,5,15,19913,59739,99565,298695},
%e A119740 {1,2,4,8,37337,74674,149348,298696}, {1,7,71,497,601,4207,42671,298697},
%e A119740 {1,2,3,6,49783,99566,149349,298698}, {1,19,79,199,1501,3781,15721,298699}.
%t A119740 Select[Prime@Range[1000000],DivisorSigma[0,#+1]==DivisorSigma[0,#+2]==DivisorSigma[0,
               #+3]==DivisorSigma[0,#+4]==DivisorSigma[0,#+5]==DivisorSigma[0,#+5]&]
%Y A119740 Cf. A008329, A049234.
%Y A119740 Sequence in context: A137818 A164946 A048906 this_sequence A022246 A050257 
               A113939
%Y A119740 Adjacent sequences: A119737 A119738 A119739 this_sequence A119741 A119742 
               A119743
%K A119740 nonn
%O A119740 1,1
%A A119740 Zak Seidov (zakseidov(AT)yahoo.com), Jul 29 2006

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