Geodesic
On anti-elite prime numbers
Journal of integer sequences, Tome 10 (2007) no. 9
An odd prime number $p$ is called anti-elite if only finitely many Fermat numbers are quadratic non-residues to $p$. This concept is the exact opposite to that of elite prime numbers. We study some fundamental properties of anti-elites and show that there are infinitely many of them. A computational search among all the numbers up to 100 billion yielded 84 anti-elite primes.
Classification : 11A15, 11A41
Keywords: anti-elite primes, elite primes, Fermat numbers 
@article{JIS_2007__10_9_a2,
     author = {M\"uller,  Tom},
     title = {On anti-elite prime numbers},
     journal = {Journal of integer sequences},
     year = {2007},
     volume = {10},
     number = {9},
     zbl = {1144.11005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2007__10_9_a2/}
}
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Müller,  Tom. On anti-elite prime numbers. Journal of integer sequences, Tome 10 (2007) no. 9. http://geodesic.mathdoc.fr/item/JIS_2007__10_9_a2/