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A137459
Prime numbers n such that n^2 +- (n-1) are primes.
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
OFFSET
1,1
LINKS
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)]&]
Select[Prime[Range[2500]], AllTrue[#^2+{(#-1), (1-#)}, PrimeQ]&] (* Harvey P. Dale, Jul 15 2023 *)
CROSSREFS
Sequence in context: A062447 A153888 A068083 * A267422 A072162 A113785
KEYWORD
nonn,easy
AUTHOR
EXTENSIONS
More terms from Stefan Steinerberger, Apr 26 2008
STATUS
approved