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A142088 Primes congruent to 18 mod 35. 1

%I #12 Sep 08 2022 08:45:35

%S 53,193,263,613,683,823,1033,1103,1453,1523,1663,1733,1873,2083,2153,

%T 2293,2503,2713,3203,3343,3413,3623,3833,4253,4463,4603,4673,4813,

%U 5023,5233,5303,5443,5653,6073,6143,6353,6563,6703,6983,7193,7333,7753,7823,7963

%N Primes congruent to 18 mod 35.

%H Vincenzo Librandi, <a href="/A142088/b142088.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) ~ 24n log n. - _Charles R Greathouse IV_, Jul 03 2016

%t Select[Prime[Range[1200]],Mod[#,35]==18&] (* _Harvey P. Dale_, Mar 23 2011 *)

%t Select[Prime[Range[3000]],MemberQ[{18},Mod[#,35]]&] (* _Vincenzo Librandi_, Aug 19 2012 *)

%o (Magma) [p: p in PrimesUpTo(9000) | p mod 35 eq 18 ]; // _Vincenzo Librandi_, Aug 19 2012 *)

%o (PARI) is(n)=isprime(n) && n%35==18 \\ _Charles R Greathouse IV_, Jul 03 2016

%Y Cf. A000040.

%K nonn,easy

%O 1,1

%A _N. J. A. Sloane_, Jul 11 2008

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Last modified April 23 23:26 EDT 2024. Contains 371917 sequences. (Running on oeis4.)