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A097698 Numbers n such that both 4*n^2 - 3 and 4*n^2 + 3 are primes. 7
2, 4, 5, 7, 32, 46, 56, 70, 73, 86, 109, 149, 152, 161, 163, 170, 175, 178, 208, 220, 235, 254, 277, 280, 290, 313, 317, 326, 334, 343, 347, 352, 364, 368, 373, 385, 403, 409, 434, 446, 460, 527, 541, 551, 565, 578, 598, 628, 632, 689, 709, 710, 737, 761, 812 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

A153975 /2 = A097698. [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Apr 23 2010]

MATHEMATICA

Select[Range[0, 7! ], PrimeQ[ #^2-3]&&PrimeQ[ #^2+3]&]/2 [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Apr 23 2010]

PROG

(MAGMA) [n: n in [1..1000] |IsPrime(4*n^2-3) and IsPrime(4*n^2+3)] [From Vincenzo Librandi, Nov 16 2010]

CROSSREFS

Cf. A083022, A097697.

Sequence in context: A005620 A049915 A119909 * A101410 A110991 A076990

Adjacent sequences:  A097695 A097696 A097697 * A097699 A097700 A097701

KEYWORD

easy,nonn

AUTHOR

Carl R. White (cyrek(AT)cyreksoft.yorks.com), Aug 20 2004

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Last modified February 14 14:07 EST 2012. Contains 205623 sequences.