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A164519 Primes p such that p+2 is the square of a product of 3 distinct primes. 3
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified January 25 12:30 EST 2022. Contains 350572 sequences. (Running on oeis4.)