A201473 Primes of the form 2*k^2 + 3.
3, 5, 11, 53, 101, 131, 971, 1061, 1571, 2741, 3203, 3701, 4421, 5003, 6053, 7691, 9803, 13451, 13781, 16931, 19211, 21221, 22901, 24203, 25541, 27851, 31253, 32261, 32771, 35381, 51203, 57803, 61253, 69941, 77621, 81611, 82421, 84053, 86531, 89891, 122021, 125003
Offset: 1
Examples
5 is in the sequence since it is a prime and can be expressed as 2*(1^2) + 3. 11 is in the sequence since it is a prime and can be expressed as 2*(2^2) + 3.
Links
- Vincenzo Librandi, Table of n, a(n) for n = 1..5000
Programs
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Magma
[a: n in [0..400] | IsPrime(a) where a is 2*n^2+3];
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Mathematica
Select[Table[2n^2 + 3, {n, 0, 800}], PrimeQ]
Comments