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A068228
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Primes congruent to 1 (mod 12).
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53
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13, 37, 61, 73, 97, 109, 157, 181, 193, 229, 241, 277, 313, 337, 349, 373, 397, 409, 421, 433, 457, 541, 577, 601, 613, 661, 673, 709, 733, 757, 769, 829, 853, 877, 937, 997, 1009, 1021, 1033, 1069, 1093, 1117, 1129, 1153, 1201, 1213, 1237, 1249, 1297
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OFFSET
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1,1
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COMMENTS
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Primes of the form x^2+9y^2. - T. D. Noe, May 07 2005
Also primes of the form x^2+12y^2. See A140633. - T. D. Noe, May 19 2008
Is this the same as A141122? - Artur Jasinski, Jun 09 2008
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REFERENCES
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J. Voight, Quadratic forms that represent almost the same primes, Math. Comp., Vol. 76 (2007), pp. 1589-1617.
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 1..1000
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MATHEMATICA
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Select[Prime/@Range[250], Mod[ #, 12]==1&]
Select[Range[13, 10^4, 12], PrimeQ][Zak Seidov Mar 21 2011]
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PROG
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(PARI) for(i=1, 250, if(prime(i)%12==1, print(prime(i))))
(PARI)forstep(p=13, 10^4, 12, isprime(p)&print(p))
[Zak Seidov Mar 21 2011]
(MAGMA) [p: p in PrimesUpTo(1400) | p mod 12 in {1}]; // Vincenzo Librandi, Jul 14 2012
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CROSSREFS
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Cf. A068227, A068229, A040117, A068231, A068232, A068233, A068234, A068235.
Subsequence of A084916.
Cf. A139643.
Sequence in context: A045809 A140112 A089030 * A141122 A031339 A034938
Adjacent sequences: A068225 A068226 A068227 * A068229 A068230 A068231
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KEYWORD
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easy,nonn
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AUTHOR
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Ferenc Adorjan (fadorjan(AT)freemail.hu), Feb 22 2002
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EXTENSIONS
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Edited by Dean Hickerson (dean.hickerson(AT)yahoo.com), Feb 27 2002
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STATUS
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approved
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