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 A152463 Numbers k such that 4 + 5*k^3 is a square. 0
 0, 1, 4, 532 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS The corresponding squares are 2^2, 3^2, 18^2, and 27438^2. Multiplying by 5^2 and making the substitution x' = 5x, y' = 5y we get a Mordell curve y'^2 = x'^3 + 100, for which we can find solutions in one of the text files at the J. Gebel link. We are interested in solutions divisible by 5, and up to a sign there are only 4 of them. So the list is complete. - Max Alekseyev, Dec 05 2008 LINKS J. Gebel, Integer points on Mordell curves [Cached copy, after the original web site tnt.math.se.tmu.ac.jp was shut down in 2017] PROG (PARI) {for(x=0, 2*10^9, if(issquare(4+5*x^3, &y), print(x", "y)))} (MAGMA) [n: n in [0..1000]|IsSquare(4+5*n^3)] // Vincenzo Librandi, Dec 16 2010 CROSSREFS Sequence in context: A083284 A350613 A152218 * A295206 A209608 A159367 Adjacent sequences:  A152460 A152461 A152462 * A152464 A152465 A152466 KEYWORD fini,full,nonn AUTHOR Zak Seidov, Dec 05 2008 STATUS approved

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Last modified July 4 08:01 EDT 2022. Contains 355070 sequences. (Running on oeis4.)