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A045437 Primes congruent to 3 mod 7. 15

%I #20 Sep 08 2022 08:44:56

%S 3,17,31,59,73,101,157,199,227,241,269,283,311,353,367,409,479,521,

%T 563,577,619,647,661,773,787,829,857,941,983,997,1039,1109,1123,1151,

%U 1193,1249,1277,1291,1319,1361,1459,1487,1543,1571,1613,1627,1669,1697,1753

%N Primes congruent to 3 mod 7.

%C Also primes congruent to 3 mod 14.

%H Vincenzo Librandi, <a href="/A045437/b045437.txt">Table of n, a(n) for n = 1..1000</a>

%t Select[Range[3, 50000, 7], PrimeQ] (* _Vladimir Joseph Stephan Orlovsky_, Jun 13 2011 *)

%o (Magma) [p: p in PrimesUpTo(2000) | p mod 7 eq 3]; // _Vincenzo Librandi_, Aug 06 2012

%o (PARI) is(n)=isprime(n) && n%7==3 \\ _Charles R Greathouse IV_, Jul 01 2016

%Y Primes arising in sequences A024903, A033868, A089033, A090614.

%Y A090613 gives prime index.

%K nonn,easy

%O 1,1

%A _N. J. A. Sloane_

%E Extended by _Ray Chandler_, Dec 23 2003

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Last modified April 24 13:08 EDT 2024. Contains 371945 sequences. (Running on oeis4.)