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A137459 Prime numbers n such that n^2 +- (n-1) are primes. +0
1
2, 3, 13, 163, 193, 349, 541, 769, 1093, 1231, 1423, 1549, 1621, 1693, 1801, 2011, 3049, 3511, 4003, 4111, 4159, 5839, 6091, 6421, 6703, 6883, 7573, 7753, 8929, 9043, 9601, 9769, 9781, 12781, 13633, 14821, 15091, 15439, 16141, 16759, 17863, 18493 (list; graph; listen)
OFFSET

1,1

EXAMPLE

2^2 +- 1 -> (3,4) Primes,

3^2 +- 2 -> (7,11) Primes,

13^2 +- 12 -> (157,181) Prime

MATHEMATICA

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

CROSSREFS

Sequence in context: A125283 A153888 A068083 this_sequence A072162 A113785 A118323

Adjacent sequences: A137456 A137457 A137458 this_sequence A137460 A137461 A137462

KEYWORD

nonn

AUTHOR

Vladimir Orlovsky (4vladimir(AT)gmail.com), Apr 21 2008

EXTENSIONS

More terms from Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Apr 26 2008

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Last modified November 27 14:50 EST 2009. Contains 167570 sequences.


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