A119740 - OEIS

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A119740

Primes p such that p+1, p+2, p+3, p+4, p+5 and p+6 have equal number of divisors.

298693, 346501, 1841141, 2192933, 2861461, 3106981, 3375781, 3435589, 3437813, 3865429, 4597013, 6191461, 7016213, 7074901, 7637941, 7918373, 9196309, 10216901, 12798901, 13747429, 14100661, 14171653, 14770981, 14779189 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,1`
	EXAMPLE	`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}.`
	MATHEMATICA	`Select[Prime@Range[1000000], DivisorSigma[0, #+1]==DivisorSigma[0, #+2]==DivisorSigma[0, #+3]==DivisorSigma[0, #+4]==DivisorSigma[0, #+5]==DivisorSigma[0, #+5]&]`
	CROSSREFS	`Cf. A008329, A049234.` `Sequence in context: A204318 A204334 A048906 * A022246 A050257 A113939` `Adjacent sequences: A119737 A119738 A119739 * A119741 A119742 A119743`
	KEYWORD	`nonn`
	AUTHOR	`Zak Seidov (zakseidov(AT)yahoo.com), Jul 29 2006`

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Last modified February 14 23:53 EST 2012. Contains 205689 sequences.