that there
> are roughly 10^52 electrons in the earth, it would be hard to deal
> with that.
>
> -M. Hampton
>
> On Jan 27, 5:14 am, Jaakko Seppälä wrote:
>
> > I found onhttp://www.prothsearch.net/fermat.htmlthat84977118993*2^
> > {520} + 1 | 2^{2^517}+1. Can this re
I found on http://www.prothsearch.net/fermat.html that 84977118993*2^
{520} + 1 | 2^{2^517}+1. Can this result be verified by Sage?
sage: mod(2^(2^517)+1,84977118993*2^520+1)
---
RuntimeError Trace
On Dec 7, 7:21 pm, John Cremona wrote:
> PS Your second example is a Weierstrass model but not integral:
>
> sage: E = EllipticCurve([0,0,0,0,-81/4])
> sage: E.integral_points()
> ---
> ...
> ValueError: integral_points() ca
nt, you need to come back to the original curve, removing
> solutions not integral after the inverse change of variables
>
> {{{
> sage: x_coords = [ x/6 for x,y,z in pts if 6.divides(ZZ(x)) ]
> sage: x_coords
> [-191, -157, -67, -49, -23, -19, 19, 23, 61, 103, 521, 817, 38
> solutions not integral after the inverse change of variables
>
> {{{
> sage: x_coords = [ x/6 for x,y,z in pts if 6.divides(ZZ(x)) ]
> sage: x_coords
> [-191, -157, -67, -49, -23, -19, 19, 23, 61, 103, 521, 817, 3857,
> 10687, 276251]
>
> }}}
>
> On Dec 6, 6:41 pm
I read from
http://mathoverflow.net/questions/7907/elliptic-curves-integer-points
than Sage can determine the integer points of an elliptic curve. What
commands will do the trick?
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