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A166002 Primes p such that p-6, p-5, p+5, and p+6 are each divisible by a cube greater than 1. 1
1934869, 6136619, 11195869, 11845499, 12385381, 33919619, 39139381, 39790381, 52937869, 53209381, 53631131, 54601619, 58690381, 62892131, 67951381, 77212381, 80224619, 88874869, 94544869, 95734381, 99936131, 103805869, 108827869 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

MATHEMATICA

f[n_]:=Max[Last/@FactorInteger[n]]; q=3; lst={}; Do[p=Prime[n]; If[f[p-6]>=q&&f[p-5]>=q&&f[p+5]>=q&&f[p+6]>=q, AppendTo[lst, p]], {n, 5*9!}]; lst

CROSSREFS

Cf. A086708, A086709, A089199, A089200, A089212, A166000, A166001

Sequence in context: A133542 A186802 A179226 * A069339 A109147 A186578

Adjacent sequences:  A165999 A166000 A166001 * A166003 A166004 A166005

KEYWORD

nonn

AUTHOR

Vladimir Orlovsky (4vladimir(AT)gmail.com), Oct 03 2009

EXTENSIONS

Edited by N. J. A. Sloane, Oct 04 2009

Extended and edited by Charles R Greathouse IV (charles.greathouse(AT)case.edu), May 12 2010

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Last modified February 16 21:51 EST 2012. Contains 205978 sequences.