A382094 Integers k such that k*2^k + 3 is prime.
0, 1, 2, 4, 5, 10, 11, 28, 40, 110, 124, 826, 871, 1355, 1540, 2285, 8908, 20824, 31715, 61655, 75920, 96274, 195871, 233125, 242594, 252760, 259825, 349315
Offset: 1
Examples
4 is in the sequence because 4*2^4 + 3 = 67 is prime.
Programs
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Magma
[k: k in [0..1000] | IsPrime(k*2^k+3)];
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Mathematica
Select[Range[0,5000],PrimeQ[#*2^#+3] &] (* Stefano Spezia, Mar 15 2025 *)
Extensions
a(18)-a(22) from Michael S. Branicky, Mar 15 2025
a(23)-a(25) from Georg Grasegger, Apr 15 2025
a(26)-a(28) from Georg Grasegger, May 14 2025