A164519 Primes p such that p+2 is the square of a product of 3 distinct primes.

53359, 74527, 81223, 127447, 159199, 184039, 189223, 314719, 354023, 370879, 378223, 416023, 439567, 511223, 804607, 974167, 1046527, 1092023, 1177223, 1238767, 1535119, 1600223, 1718719, 2059223, 2082247, 2140367, 2223079

Offset

1,1

Comments

Primes of the form A162143(k)-2.

Links

Chai Wah Wu, Table of n, a(n) for n = 1..11612

Example

53359 + 2 = 3^2*7^2*11^2. 74527 + 2 = 3^2*7^2*13^2.

Mathematica

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

Crossrefs

Cf. A056899, A164517, A164518

Sequence in context: A195656 A195651 A294752 * A237180 A186199 A206314

Adjacent sequences: A164516 A164517 A164518 * A164520 A164521 A164522

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, Aug 14 2009

Extensions

Definition rephrased by R. J. Mathar, Oct 21 2009

Status

approved