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A094407
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Primes of the form 16n+1.
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21
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17, 97, 113, 193, 241, 257, 337, 353, 401, 433, 449, 577, 593, 641, 673, 769, 881, 929, 977, 1009, 1153, 1201, 1217, 1249, 1297, 1361, 1409, 1489, 1553, 1601, 1697, 1777, 1873, 1889, 2017, 2081, 2113, 2129, 2161, 2273, 2417, 2593, 2609, 2657, 2689, 2753
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OFFSET
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1,1
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COMMENTS
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Primes p such that p XOR 14 = p + 14. - Brad Clardy, Jul 23 2012
A prime of the form 16n+1 is represented either by both x^2+32y^2 and x^2+64y^2 or by neither (see Kaplansky link). - Michel Marcus, Dec 23 2012
Odd primes p such that -1 is an 8th power mod p. - Eric M. Schmidt, Mar 27 2014
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LINKS
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MAPLE
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p:=proc(n) if isprime(16*n+1)=true then 16*n+1 else fi end:seq(p(n), n=1..200); # Emeric Deutsch, Dec 23 2004
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MATHEMATICA
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PROG
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(Haskell)
a094407 n = a094407_list !! (n-1)
a094407_list = filter ((== 1) . a010051) [1, 17..]
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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Jun Mizuki (suzuki32(AT)sanken.osaka-u.ac.jp), Jun 03 2004
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EXTENSIONS
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STATUS
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approved
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