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 A284056 Array of complete solutions to the Diophantine equation x^2 + 5^a*11^b = y^3 read by rows (see comment). 0
 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 (list; graph; refs; listen; history; text; internal format)
 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 Table of n, a(n) for n=1..36. 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 Sequence in context: A152148 A270708 A198261 * A338149 A338145 A296002 Adjacent sequences: A284053 A284054 A284055 * A284057 A284058 A284059 KEYWORD nonn,fini,full,tabf AUTHOR Zak Seidov, Mar 19 2017 STATUS approved

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Last modified September 9 11:43 EDT 2024. Contains 375764 sequences. (Running on oeis4.)