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Positive numbers n such that there exists a positive number m != n such that x^2+ny^2 and x^2+my^2 represent the same odd primes.
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%I #11 Jun 22 2014 12:56:00

%S 1,4,8,9,12,16,24,45,48,72,80,120,240

%N Positive numbers n such that there exists a positive number m != n such that x^2+ny^2 and x^2+my^2 represent the same odd primes.

%C There are no other terms for which both n and m are < 100000.

%H William C. Jagy and Irving Kaplansky, <a href="/A244019/a244019.pdf">Positive definite binary quadratic forms that represent the same primes</a> [Cached copy]

%H N. J. A. Sloane et al., <a href="https://oeis.org/wiki/Binary_Quadratic_Forms_and_OEIS">Binary Quadratic Forms and OEIS</a> (Index to related sequences, programs, references)

%e For example, 9 and 12 are members because the odd primes (in fact all the primes) represented by x^2+9y^2 and x^2+12y^2 are the same - see A068228.

%Y Cf. A068228.

%K nonn

%O 1,2

%A _N. J. A. Sloane_, Jun 22 2014