A230392 Primes of the form 232*m^2+1.
233, 929, 2089, 5801, 8353, 11369, 18793, 23201, 33409, 39209, 52201, 59393, 67049, 75169, 92801, 112289, 133633, 156833, 169129, 181889, 222953, 284201, 300673, 317609, 335009, 449153, 469801, 490913, 534529, 557033, 580001, 627329, 651689, 891809, 1041449
Offset: 1
Keywords
References
- Leonhard Euler, Facillima methodus plurimos numeros primos praemagnos inveniendi, Nova Acta Academiae Scientiarum Imperialis Petropolitanae Tomus XIV (1805), Mathematica et Physico-Mathematica.
Links
- Bruno Berselli, Table of n, a(n) for n = 1..1000
- Umberto Cerruti, I numeri idonei di Eulero (in Italian), p. 4.
- Euler Archive, E718 -- Facillima methodus plurimos numeros primos praemagnos inveniendi
- Leonhard Euler, An easy method for finding many very large prime numbers, arXiv:math/0507401 [math.HO], 2005-2008. Translated from Latin.
Programs
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Magma
[m: n in [1..100] | IsPrime(m) where m is 232*n^2+1];
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Mathematica
Select[Table[232 n^2 + 1, {n, 100}], PrimeQ]
Comments