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A121825
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Primes of the form 4*n^2 + 3.
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0
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3, 7, 19, 67, 103, 199, 487, 787, 1447, 2503, 2707, 3847, 4099, 4903, 5479, 5779, 8467, 8839, 11239, 12547, 14887, 16903, 17959, 19603, 21319, 23719, 24967, 25603, 29587, 31687, 47527, 52903, 58567, 59539, 61507, 65539, 75079, 81799, 88807, 92419
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| See also A121326 Primes of the form 4*n^2 + 1. See also A049423 Primes of the form n^2+3. For the primes of the form 4*n^2 + 3, the corresponding values of n are 1, 2, 4, 5, 7, 11, 14, 19, 25, 26, 31, 32, 35, 37, 38, 46, 47, 53, 56, 61, 65, 67, 70, 73.
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FORMULA
| a(n) = 3+(2*A097697(n))^2. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 07 2008]
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PROG
| (MAGMA) [ a: n in [0..200] | IsPrime(a) where a is 4*n^2+3 ]; [From Vincenzo Librandi, Dec 22 2010]
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CROSSREFS
| Cf. A000040, A002496, A049423, A121326.
Sequence in context: A160128 A051139 A049423 * A066237 A135741 A163571
Adjacent sequences: A121822 A121823 A121824 * A121826 A121827 A121828
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KEYWORD
| easy,nonn
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AUTHOR
| Jonathan Vos Post (jvospost3(AT)gmail.com), Aug 27 2006
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EXTENSIONS
| Terms after 21319 added by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 07 2008
3 added by Vincenzo Librandi, Dec 22 2010
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