A059495 For odd p such that 2^p-1 is a prime (A000043), write 2^p-1 = x^2+3*y^2; sequence gives values of y.
1, 3, 3, 45, 3, 381, 2349, 115329357, 10279641655875, 5033685952807971, 5263826472436016979, 898670952308059000662208200339860406351380028634597445743368513219427297854627, 1163046333059983884005407440923089001865672520479660324278034104804471332063117356524700189
Offset: 1
Examples
p=7: 127 = 10^2 + 3*3^2, so a(3) = 3.
References
- F. Lemmermeyer, Reciprocity Laws From Euler to Eisenstein, Springer-Verlag, 2000, p. 59.
Links
- Phil Moore, Tony Reix and others, Online Discussion
Extensions
More terms from Joshua Zucker, May 23 2006