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A227199
Primes that divide some term of A006720.
3
2, 3, 7, 11, 23, 41, 47, 53, 59, 61, 71, 73, 83, 97, 101, 113, 127, 139, 149, 157, 173, 179, 181, 191, 197, 199, 211, 223, 229, 239, 257, 263, 271, 277, 281, 307, 331, 337, 347, 359, 373, 379, 383, 389, 397, 409, 419, 433, 439, 443, 463, 467, 479, 499, 509
OFFSET
1,1
COMMENTS
The density of primes in this sequence is 11/21.
If p divides A006720(n) for some n, then the smallest such n is <= (1/2)*((sqrt(p)+1)^2+3).
LINKS
R. Jones and J. Rouse, Galois Theory of Iterated Endomorphisms, Proceedings of the London Mathematical Society, 100, no. 3 (2010), 763-794.
EXAMPLE
11 is in the sequence because 11 divides A006720(10) = 1529.
PROG
(Magma) [ n : n in [2..500] | IsPrime(n) and (n ne 37) and (Order(EllipticCurve([GF(n)!0, 0, 1, -1, 0])![0, 0, 1]) mod 2 eq 1) ];
CROSSREFS
Sequence in context: A039787 A267503 A226937 * A129940 A128631 A092217
KEYWORD
easy,nonn
AUTHOR
Jeremy Rouse, Sep 18 2013
STATUS
approved