(MAGMAMagma) [a: n in [0..200] | IsPrime(a) where a is 2*n^3+1]
(MAGMAMagma) [a: n in [0..200] | IsPrime(a) where a is 2*n^3+1]
Michael S. Branicky, <a href="/A201107/b201107_1.txt">Table of n, a(n) for n = 1..10000</a> (terms 1..3000 from Vincenzo Librandi)
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Primes of the form 2n2k^3+1.
3, 17, 251, 433, 1459, 2663, 3457, 16001, 18523, 35153, 39367, 48779, 54001, 65537, 85751, 170369, 370387, 410759, 432001, 715823, 746497, 913067, 1272113, 1557377, 1714751, 1769473, 1940599, 2450087, 2735263, 3456001, 4812209, 5488001, 6615899, 6750001
Vincenzo Librandi, Michael S. Branicky, <a href="/A201107/b201107_1.txt">Table of n, a(n) for n = 1..10000</a> (terms 1..3000</a> from Vincenzo Librandi)
(Python)
from sympy import isprime
print(list(filter(isprime, (2*k**3+1 for k in range(152))))) # Michael S. Branicky, Jun 17 2021
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a(n) = 2*A168550(n)^3+1. - R. J. Mathar, Aug 20 2019
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approved
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