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A256776
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Primes of form n^2 + 256.
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14
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257, 281, 337, 617, 881, 1097, 1217, 1481, 1777, 2281, 2657, 2857, 4481, 5297, 5881, 7481, 8537, 9281, 10457, 12577, 14897, 15881, 17417, 18481, 19577, 23057, 24281, 25537, 26177, 27481, 28817, 30881, 32297, 35977, 38281, 39857, 42281, 44777, 52697, 53617
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OFFSET
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1,1
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COMMENTS
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Conjecture: sequence is infinite.
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LINKS
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PROG
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(Haskell)
a256776 n = a256776_list !! (n-1)
a256776_list = [x | x <- map (+ 256) a000290_list, a010051' x == 1]
(PARI) list(lim)=if(lim<257, return([])); my(v=List(), t); forstep(n=1, sqrtint(lim\1-256), 2, if(isprime(t=n^2+256), listput(v, t))); Vec(v) \\ Charles R Greathouse IV, Aug 18 2017
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CROSSREFS
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Primes of form n^2+b^4, b fixed: A002496 (b=1), A243451 (b=2), A256775 (b=3), A256777 (b=5), A256834 (b=6), A256835 (b=7), A256836 (b=8), A256837 (b=9), A256838 (b=10), A256839 (b=11), A256840 (b=12), A256841 (b=13).
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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