A142076 Primes congruent to 1 mod 35.
71, 211, 281, 421, 491, 631, 701, 911, 1051, 1471, 2311, 2381, 2521, 2591, 2731, 2801, 3011, 3221, 3361, 3571, 3851, 4201, 4271, 4481, 4621, 4691, 4831, 5531, 5741, 5881, 6091, 6301, 6581, 6791, 7001, 7211, 7351, 7561, 7841, 8191, 8681, 8821, 9241, 9311
Offset: 1
Links
- Vincenzo Librandi, Table of n, a(n) for n = 1..1000
Crossrefs
Cf. A000040.
Programs
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Magma
[p: p in PrimesUpTo(10000) | p mod 35 eq 1 ]; // Vincenzo Librandi, Aug 18 2012
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Mathematica
Select[Prime[Range[4000]],MemberQ[{1},Mod[#,35]]&] (* Vincenzo Librandi, Aug 18 2012 *) Select[Range[1,9400,35],PrimeQ] (* Harvey P. Dale, Aug 25 2022 *)
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PARI
is(n)=isprime(n) && n%35==1 \\ Charles R Greathouse IV, Jul 02 2016
Formula
a(n) ~ 24n log n. - Charles R Greathouse IV, Jul 02 2016