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 A292872 Perfect n-th powers y^n (n >= 3) of the form x^2 + 2^a * 11^b (x >= 1, a, b >= 0, gcd(x, y) = 1). 0
 27, 81, 125, 243, 729, 3375, 15625, 59049, 704969, 33698267, 41063625, 86938307, 100544625, 483736625, 163218919625 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Cangul, Demirci, Luca, Pinter and Soydan showed that there are no other terms. LINKS I. N. Cangul, M. Demirci, F. Luca, A. Pinter and G. Soydan, On the Diophantine Equation x^2 + 2^a 11^b = y^n, Fibonacci Quart. 48 (2010), 39-46. EXAMPLE a(8) = 59049 = 241^2 + 2^3 * 11^2 = 3^10 = 9^5 CROSSREFS Cf. A295233 (2^a * 5^b instead of 2^a * 11^b). Sequence in context: A129254 A215782 A216438 * A057609 A255624 A008884 Adjacent sequences:  A292869 A292870 A292871 * A292873 A292874 A292875 KEYWORD nonn,fini,full AUTHOR Tomohiro Yamada, Nov 19 2017 STATUS approved

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Last modified September 18 15:48 EDT 2020. Contains 337169 sequences. (Running on oeis4.)