Voozh

A267506

Primes p such that p-1 is squarefree and all prime divisors of p-1 other than 17 are also in the sequence.

2, 3, 7, 43, 103, 239, 479, 619, 3347, 4327, 10039, 24379, 25999, 30703, 48859, 123583, 143879, 147703, 150587, 170647, 186019, 288359, 344639, 421639, 593003, 689279, 690719, 1029827, 1381439, 1779007, 2651899, 3089479, 3558019, 4242983

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Is this sequence infinite?

LINKS

Table of n, a(n) for n=1..34.

MATHEMATICA

fa = FactorInteger; is[2, p_] = True; is[2, p_];

is[n_, p_] := PrimeQ[n] && MoebiusMu[n - 1] ≠ 0 && Union@Table[is[fa[n - 1][[i, 1]], p] || fa[n - 1][[ i, 1]] == p , {i, Length[fa[n - 1]]}] == {True}; Select[Prime[Range[10000]], is[#, 17] &]

CROSSREFS

Cf. A267503, A267504, A267505, A267507, A005117, A227455, A227007, A227006.

Sequence in context: A255595 A085682 A267505 * A218467 A241166 A083369

Adjacent sequences: A267503 A267504 A267505 * A267507 A267508 A267509

KEYWORD

nonn

AUTHOR

José María Grau Ribas, Jan 16 2016

STATUS

approved

URL: https://oeis.org/A267506

⇱ A267506 - OEIS