A142744 Primes congruent to 17 mod 59.
17, 607, 1433, 1669, 1787, 2141, 2377, 2731, 3203, 3557, 3793, 3911, 4973, 5209, 5563, 6271, 6389, 7333, 7451, 7687, 8513, 8867, 9103, 9221, 9811, 9929, 11699, 12289, 13469, 14177, 14767, 15121, 16183, 16301, 17599, 18307, 18661, 19841, 20431, 20549, 20903
Offset: 1
Links
- Vincenzo Librandi, Table of n, a(n) for n = 1..1000
Programs
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Magma
[p: p in PrimesUpTo(21000) | p mod 59 eq 17 ]; // Vincenzo Librandi, Sep 03 2012
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Mathematica
Select[Range[17, 30000, 118], PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Jul 15 2011 *) Select[Prime[Range[2600]], MemberQ[{17}, Mod[#, 59]] &] (* Vincenzo Librandi, Sep 03 2012 *)
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PARI
is(n)=isprime(n) && n%59==17 \\ Charles R Greathouse IV, Jul 02 2016
Formula
a(n) ~ 58n log n. - Charles R Greathouse IV, Jul 02 2016