A346656 - OEIS

A346656

Primes p for which the elliptic curve y^2 = x^3 + 2*p*x has positive rank.

7, 17, 23, 47, 79, 89, 103, 113, 127, 137, 167, 193, 199, 223, 233, 239, 257, 271, 353, 359, 367, 409, 431, 433, 439, 449, 457, 463, 479, 569, 577, 593, 599, 601, 647, 673, 727, 769, 809, 823, 839, 857, 929, 937, 983, 1009, 1031, 1039, 1063, 1087, 1097, 1129, 1151, 1193, 1201, 1217, 1223

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OFFSET

1,1

LINKS

Table of n, a(n) for n=1..57.

P. G. Walsh, Maximal ranks and integer points on a family of elliptic curves II, Rocky Mountain J. Math. 41 (2011), no. 1, 311-317.

PROG

(Magma)

for i in [2..200] do

p:=NthPrime(i);

E:=EllipticCurve([2*p, 0]);

if Rank(E) gt 0 then print(p);