1,1

298693 is OK since 298694, 298695, 298696, 298697, 298698 and 298699 all have 8 divisors:

{1,2,11,22,13577,27154,149347,298694}, {1,3,5,15,19913,59739,99565,298695},

{1,2,4,8,37337,74674,149348,298696}, {1,7,71,497,601,4207,42671,298697},

{1,2,3,6,49783,99566,149349,298698}, {1,19,79,199,1501,3781,15721,298699}.

Select[Prime@Range[1000000], DivisorSigma[0, #+1]==DivisorSigma[0, #+2]==DivisorSigma[0, #+3]==DivisorSigma[0, #+4]==DivisorSigma[0, #+5]==DivisorSigma[0, #+5]&]

Cf. A008329, A049234.

Sequence in context: A137818 A164946 A048906 this_sequence A022246 A050257 A113939

Adjacent sequences: A119737 A119738 A119739 this_sequence A119741 A119742 A119743

nonn

Zak Seidov (zakseidov(AT)yahoo.com), Jul 29 2006