[seqfan] Diophantine 4+5x^3=y^2

zak seidov zakseidov at yahoo.com
Fri Dec 5 17:51:12 CET 2008


Dear SeqFans,

Diophantine 4+5x^3=y^2 has 4 solutions (x,y >= 0):
x=0,1,4,532 and y=2,3,18,27438. 
Are there more solutions (x>2*10^9)?
thx, zak

(17:59) gp > {for(x=0,2*10^9,if(issquare(4+5* x^3,&y),print(x","y)))}
0,2
1,3
4,18
532,27438
(18:46) gp >


      




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