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A092104 Primes of form p*q + 4, with prime p and q. 2
13, 19, 29, 37, 43, 53, 59, 61, 73, 89, 97, 127, 137, 149, 163, 173, 181, 191, 223, 239, 241, 251, 257, 263, 269, 271, 293, 307, 313, 331, 359, 397, 419, 421, 431, 449, 457, 509, 521, 523, 541, 547, 557, 563, 569, 577, 587, 593, 601, 653, 659, 673, 683, 691 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Primes of form p*q + 2, A063638. Primes common in A063638 and A092104, A092105. Primes of form p*p + 4, A045637.

LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..1000

MATHEMATICA

With[{upto=700}, Select[Times@@#+4&/@Tuples[Prime[Range[PrimePi[upto/2]]], 2], PrimeQ[#]&&#<+upto&]]//Union (* Harvey P. Dale, Jul 23 2016 *)

PROG

(PARI) list(lim)=my(v=List(), t); forprime(p=3, (lim-4)\3, forprime(q=3, min((lim-4)\p, p), t=p*q+4; if(isprime(t), listput(v, t)))); Set(v) \\ Charles R Greathouse IV, Aug 05 2016

CROSSREFS

Cf. A045637, A063638, A092105.

Sequence in context: A258589 A103804 A063640 * A281483 A094105 A073620

Adjacent sequences:  A092101 A092102 A092103 * A092105 A092106 A092107

KEYWORD

easy,nonn

AUTHOR

Zak Seidov, Feb 20 2004

STATUS

approved

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Last modified May 13 01:30 EDT 2021. Contains 343829 sequences. (Running on oeis4.)