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A142925 Primes congruent to 1 mod 64. 9
193, 257, 449, 577, 641, 769, 1153, 1217, 1409, 1601, 2113, 2689, 2753, 3137, 3329, 3457, 4289, 4481, 4673, 4801, 4993, 5441, 5569, 5953, 6337, 6529, 6977, 7297, 7489, 7681, 7873, 7937, 8513, 8641, 9281, 9473, 9601, 9857, 10177, 10369, 10433, 10753, 11329 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Odd primes p such that -1 is a 32nd power mod p. - Eric M. Schmidt, Mar 27 2014
LINKS
MATHEMATICA
lst={}; Do[p=Prime[n]; If[Mod[p, 64]==1, AppendTo[lst, p]], {n, 7!}]; lst (* Vladimir Joseph Stephan Orlovsky, Feb 26 2009 *)
Select[Prime[Range[1800]], MemberQ[{1}, Mod[#, 64]] &] (* Vincenzo Librandi, Sep 06 2012 *)
Select[Range[1, 12000, 64], PrimeQ] (* Harvey P. Dale, Dec 25 2023 *)
PROG
(Haskell)
a142925 n = a142925_list !! (n-1)
a142925_list = filter ((== 1) . a010051) [1, 65..]
-- Reinhard Zumkeller, Mar 06 2012
(Magma) [p: p in PrimesUpTo(12000) | p mod 64 eq 1 ] ; // Vincenzo Librandi, Sep 06 2012
(PARI) is(n)=isprime(n) && n%64==1 \\ Charles R Greathouse IV, Jul 01 2016
CROSSREFS
Sequence in context: A363147 A307250 A226147 * A060333 A020352 A146338
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Jul 11 2008
STATUS
approved

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Last modified February 26 11:46 EST 2024. Contains 370352 sequences. (Running on oeis4.)