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A096170
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Primes of the form (n^4+1)/2.
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2
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41, 313, 1201, 7321, 14281, 41761, 97241, 139921, 353641, 750313, 1156721, 5278001, 6922921, 8925313, 12705841, 14199121, 21523361, 56275441, 60775313, 81523681, 87450313, 100266961, 138461441, 273990641, 370600313, 407865361
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Note that n must be odd. Terms of primitive Pythagorean triples: (n^2, (n^4-1)/2,(n^4+1)/2).
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EXAMPLE
| a(1)=41 because (3^4+1)/2=82/2=41 is prime.
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MATHEMATICA
| lst={}; Do[p=(n^4+1)/2; If[PrimeQ[p], AppendTo[lst, p]], {n, 1, 6!, 2}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Mar 11 2009]
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PROG
| (MAGMA) [ a: n in [0..2500] | IsPrime(a) where a is ((n^4+1) div 2) ]; // Vincenzo Librandi, Apr 15 2011
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CROSSREFS
| Cf. A096169 (n^4+1)/2 is prime, A000068 n^4+1 is prime, A037896 primes of the form n^4+1, A096171 n^4+1 is an odd semiprime, A096172 largest prime factor of n^4+1.
Sequence in context: A201043 A002646 A175110 * A121671 A184060 A142501
Adjacent sequences: A096167 A096168 A096169 * A096171 A096172 A096173
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KEYWORD
| nonn
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AUTHOR
| Hugo Pfoertner (hugo(AT)pfoertner.org), Jun 19 2004
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EXTENSIONS
| Name edited by Zak Seidov (zakseidov(AT)yahoo.com), Apr 14 2011
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