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A227276 Primes p for which p^2 + p - 1 = q*r (q<r) such that q, r, p^2 + q - 1 and p^2 + r - 1 are primes. 2
7, 17, 23, 61, 67, 71, 79, 151, 307, 311, 383, 389, 409, 439, 613, 677, 1559, 1627, 1637, 2377, 2719, 2801, 3407, 3821, 4229, 4799, 4919, 5557, 5641, 5743, 5779, 5851, 5867, 6133, 6733, 7121, 7723, 8009, 8527, 8573, 10163, 10729, 11317, 11789, 11987, 14107, 14629, 14653, 14669, 17189, 17401, 18077 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Peter J. C. Moses, Table of n, a(n) for n = 1..5000

FORMULA

A226770(a^2(n) - 1) = 3.

MATHEMATICA

Select[Prime[Range[3000]], And@@PrimeQ[#1^2-1+First[#2]]&&Last[#2]=={1, 1}&[#1, Transpose[FactorInteger[#^2+#-1]]]&] (* Peter J. C. Moses, Jul 05 2013 *)

CROSSREFS

Cf. A227129, A226770.

Sequence in context: A346656 A057183 A076293 * A300298 A273745 A263264

Adjacent sequences:  A227273 A227274 A227275 * A227277 A227278 A227279

KEYWORD

nonn

AUTHOR

Vladimir Shevelev, Jul 04 2013

EXTENSIONS

More terms from Peter J. C. Moses.

STATUS

approved

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Last modified September 27 08:39 EDT 2021. Contains 347689 sequences. (Running on oeis4.)