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A175606 Primes p of the form 4*k+3 such that p+2 is prime and p-1 is squarefull. 0
1151, 1451, 1667, 3251, 3851, 4019, 5651, 6359, 6551, 6959, 7547, 11351, 11831, 12251, 13691, 15731, 15887, 16451, 17987, 18131, 18251, 19751, 20231, 22091, 26951, 27539, 28751, 30851, 31151, 32831, 35051, 37571, 38651, 38711, 40151 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Subsequence of A071698 Lesser members of twin prime pairs of form (4*k+3,4*k+5): a(1..5)=A071698(20,23,27,42,51). Cf. A089188 Lower member p of a pair of twin primes such that p-1 is squarefree.

LINKS

Table of n, a(n) for n=1..35.

MATHEMATICA

Select[Range[3, 99299, 4], !SquareFreeQ[ #-1]&&PrimeQ[ # ]&&PrimeQ[ #+2]&]

CROSSREFS

Cf. A071698, A089188.

Sequence in context: A054999 A086259 A345472 * A179036 A179037 A098976

Adjacent sequences:  A175603 A175604 A175605 * A175607 A175608 A175609

KEYWORD

nonn

AUTHOR

Zak Seidov, Jul 22 2010

STATUS

approved

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Last modified November 27 10:45 EST 2021. Contains 349366 sequences. (Running on oeis4.)