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Primes congruent to 39 mod 44.
1

%I #11 Sep 08 2022 08:45:36

%S 83,127,347,479,523,743,787,919,1051,1447,1579,1667,1931,2063,2239,

%T 2371,2459,2503,2591,2767,3119,3163,3251,3559,3691,3779,3823,3911,

%U 4219,4483,4703,4967,5011,5099,5231,5407,6067,6199,6287,6551,6947,6991,7079,7211

%N Primes congruent to 39 mod 44.

%H Vincenzo Librandi, <a href="/A142309/b142309.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) ~ 20n log n. - _Charles R Greathouse IV_, Jul 03 2016

%t Select[Prime[Range[2500]],MemberQ[{39},Mod[#,44]]&] (* _Vincenzo Librandi_, Aug 25 2012 *)

%t Select[Range[39,8000,44],PrimeQ] (* _Harvey P. Dale_, Sep 17 2019 *)

%o (Magma) [p: p in PrimesUpTo(8000) | p mod 44 eq 39]; // _Vincenzo Librandi_, Aug 25 2012

%o (PARI) is(n)=isprime(n) && n%44==39 \\ _Charles R Greathouse IV_, Jul 03 2016

%Y Cf. A000040.

%K nonn,easy

%O 1,1

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