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A268753
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Primes congruent to 1 mod 13.
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4
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53, 79, 131, 157, 313, 443, 521, 547, 599, 677, 859, 911, 937, 1093, 1171, 1223, 1249, 1301, 1327, 1483, 1613, 1847, 1873, 1951, 2003, 2029, 2081, 2237, 2341, 2393, 2549, 2731, 2861, 2887, 2939, 3121, 3251, 3329, 3407, 3433, 3511, 3719, 3797, 3823, 4057, 4421, 4447, 4603, 4733, 4759, 4889, 4967, 4993, 5227, 5279
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OFFSET
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1,1
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COMMENTS
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The first 45 terms, up to 4057, coincide with A059245. Then a(46)=4421 occurs in this sequence, while A059245(46)=4447.
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LINKS
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FORMULA
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EXAMPLE
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53 is the first prime of the form 13k + 1, therefore a(1)=53.
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MATHEMATICA
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PROG
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(PARI) forprime(p=2, 1e4, if(p%13==1, print1(p", ")))
(Magma) [p: p in PrimesUpTo(5300) | p mod 13 in {1} ]; // Vincenzo Librandi, Feb 13 2016
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CROSSREFS
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Cf. A059245 (x^13 = 2 has no solution mod prime p).
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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