A166001 Primes p such that p-5, p-4, p+4, and p+5 are each divisible by a cube > 1.

751379, 2414507, 2839621, 3170371, 4469629, 5736371, 21154909, 22556371, 22991629, 23313371, 23748629, 24338371, 28372621, 31628371, 32079757, 33009629, 41078371, 42270629, 43465307, 44446621, 49746667, 50579339

Offset: 1

Author

Vladimir Joseph Stephan Orlovsky, Oct 03 2009

Keywords

• nonn
• less

Links

• G. C. Greubel, Table of n, a(n) for n = 1..271

Crossrefs

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

Programs

Mathematica

f[n_]:=Max[Last/@FactorInteger[n]]; q=3;lst={};Do[p=Prime[n];If[f[p-5]>=q&&f[p-4]>=q&&f[p+4]>=q&&f[p+5]>=q,AppendTo[lst,p]],{n,4*8!}];lst

Extensions

Extended by Charles R Greathouse IV, Oct 09 2009