Geodesic
All elite primes up to 250 billion
Journal of integer sequences, Tome 9 (2006) no. 3
A prime number $p$ is called $elite$ if only finitely many Fermat numbers $2 ^{ 2 $^n $ +1$ are quadratic residues of $p$. Previously only the interval up to $10^{9}$ was systematically searched for elite primes and 16 such primes were found. We extended this research up to 2.5 . $10^{11}$ and found five further elites, among which 1,151,139,841 is the smallest and 171,727,482,881 the largest.
Classification : 11A15, 11A41
Keywords: elite primes, Fermat numbers 
@article{JIS_2006__9_3_a6,
     author = {Chaumont,  Alain and M\"uller,  Tom},
     title = {All elite primes up to 250 billion},
     journal = {Journal of integer sequences},
     year = {2006},
     volume = {9},
     number = {3},
     zbl = {1178.11002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2006__9_3_a6/}
}
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Chaumont,  Alain; Müller,  Tom. All elite primes up to 250 billion. Journal of integer sequences, Tome 9 (2006) no. 3. http://geodesic.mathdoc.fr/item/JIS_2006__9_3_a6/