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Search: id:A096170
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| A096170 |
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Primes of the form (n^4+1)/2, n odd. |
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+0
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; listen)
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OFFSET
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1,1
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EXAMPLE
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a(1)=41 because (3^4+1)/2=82/2=41 is prime.
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MATHEMATICA
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lst={}; Do[p=Prime[n]; a=p*2-1; a=a^(1/4); If[Floor[a]==a, AppendTo[lst, p]], {n, 7!}]; lst...and/or... 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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CROSSREFS
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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: A090833 A154577 A002646 this_sequence A121671 A142501 A142571
Adjacent sequences: A096167 A096168 A096169 this_sequence A096171 A096172 A096173
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KEYWORD
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nonn
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AUTHOR
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Hugo Pfoertner (hugo(AT)pfoertner.org), Jun 19 2004
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