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URL: https://oeis.org/A137460

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A137460

Prime numbers k such that k^2 +- (k+1) are primes.

1

3, 5, 17, 71, 101, 131, 677, 839, 857, 1091, 1217, 2129, 2309, 2339, 2957, 3137, 3449, 3989, 4409, 6569, 6719, 6761, 7229, 8501, 8627, 8807, 9521, 9689, 9749, 10589, 10631, 11621, 11777, 11927, 12641, 13487, 13931, 14519, 15527, 15797, 16007

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OFFSET

1,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

FORMULA

A053182 INTERSECT A091567. - R. J. Mathar, Apr 19 2009

EXAMPLE

3^2 +- 4 -> (5,13) primes,

5^2 +- 6 -> (19,31) primes.

MATHEMATICA

Select[Prime[Range[800]], PrimeQ[ #^2 - (# + 1)] && PrimeQ[ #^2 + (# + 1)] &]

CROSSREFS

Cf. A053182, A091567.

Sequence in context: A374150 A378559 A259908 * A319908 A356256 A232238

Adjacent sequences: A137457 A137458 A137459 * A137461 A137462 A137463

KEYWORD

nonn,easy

AUTHOR

Vladimir Joseph Stephan Orlovsky, Apr 21 2008

EXTENSIONS

More terms from Karl Hovekamp, Jan 24 2009

STATUS

approved