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A164520 Primes p such that p-2 is the product of exactly 2 distinct cubes of primes. 2
274627, 328511, 1860869, 2146691, 2924209, 9129331, 9938377, 10503461, 15438251, 24642173, 26730901, 28372627, 39651823, 61629877, 105823819, 125751503, 136590877, 151419439, 194104541, 426957779, 573856193 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Chai Wah Wu, Table of n, a(n) for n = 1..10124

EXAMPLE

274627 - 2 = 5^3*13^3, 328511 - 2 = 3^3*23^3,..

MATHEMATICA

f3[n_]:=FactorInteger[n][[1, 2]]==3&&Length[FactorInteger[n]]==2&&FactorInteger[n][[2, 2]]==3; lst={}; Do[p=Prime[n]; If[f3[p-2], AppendTo[lst, p]], {n, 4, 4*9!}]; lst

PROG

(PARI) forprime(p=3, 1e9, if(ispower(p-2, 3, &n)&&!issquare(n)&&bigomega(n)==2, print1(p", ")))

CROSSREFS

Cf. A056899, A144953, A164517, A164518, A164519

Sequence in context: A235300 A256364 A250509 * A274351 A114664 A069372

Adjacent sequences:  A164517 A164518 A164519 * A164521 A164522 A164523

KEYWORD

nonn

AUTHOR

Vladimir Joseph Stephan Orlovsky, Aug 14 2009

EXTENSIONS

Program by Charles R Greathouse IV, Oct 12 2009

STATUS

approved

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Last modified August 18 18:15 EDT 2022. Contains 356215 sequences. (Running on oeis4.)