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Primes of the form 47*k + 3.
1

%I #15 Apr 04 2023 19:30:38

%S 3,97,191,379,661,1319,1601,1789,2447,2729,2917,3011,4139,4327,4421,

%T 4703,5737,6113,6301,6959,7523,7993,8087,8369,8839,8933,9403,9497,

%U 9967,10061,10343,10531,11471,11941,13163,13633,14009,14197,14479,15137

%N Primes of the form 47*k + 3.

%H Vincenzo Librandi, <a href="/A100494/b100494.txt">Table of n, a(n) for n = 1..1000</a>

%t Select[47 Range[0,500]+3, PrimeQ] (* _Harvey P. Dale_, Feb 26 2011 *)

%o (Magma) [a: n in [0..400] | IsPrime(a) where a is 47*n+3 ]; // _Vincenzo Librandi_, Jul 18 2012

%o (SageMath) [47*n+3 for n in (0..500) if is_prime(47*n+3)] # _G. C. Greubel_, Apr 03 2023

%Y Cf. A100203, A142200, A142252, A142416, A142533.

%K nonn,easy

%O 1,1

%A Jun Mizuki (suzuki32(AT)sanken.osaka-u.ac.jp), Jan 11 2005