OFFSET
1,3
COMMENTS
The complete solution (a,b,x,y) to the Diophantine equation x^2 + 5^a*11^b = y^3
for x, y>= 1, gcd(x,y)=1, a,b>0:
(a, b, x, y)
(0, 1, 4, 3)
(0, 1, 58, 15)
(0, 2, 2, 5)
(0, 3, 9324, 443)
(1, 1, 3, 4)
(1, 1, 419, 56)
(2, 3, 968, 99)
(3, 1, 37, 14)
(5, 5, 36599, 1226)
LINKS
Gökhan Soydan and Nikos Tzanakis, Complete solution of the Diophantine Equation x^2+5^a*11^b=y^n, arXiv:1703.04950 [math.NT], 2017; Bull. Hellenic Math. Soc. 60 (2016), 125-151.
CROSSREFS
KEYWORD
nonn,fini,full,tabf
AUTHOR
Zak Seidov, Mar 19 2017
STATUS
approved