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 A303267 Least y for which x^5 + y^6 = A300567(n)^7 for some x > 1. 2
 32768, 56953125, 120472576 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS This is the list of y values corresponding to the solutions z of z^7 = y^6 + x^5 listed in A300567. The x values are then readily computed as (z^7 - y^6)^(1/5). See the main entry A300567 for all further information. LINKS EXAMPLE A300567(1) = 8192 is the smallest z such that z^7 = x^5 + y^6 for some x,y > 1, and the smallest such y is a(1) = 32768. It then follows that x = (8192^7 - 32768^6)^(1/5) = 262144. A300567(2) = 7593750 is the second smallest z such that z^7 = x^5 + y^6 for some x, y > 1, and the smallest corresponding y is a(2) = 56953125. It then follows that x = (7593750^7 - 56953125^6)^(1/5) = 4271484375. CROSSREFS Sequence in context: A010803 A236223 A183817 * A323545 A017693 A013963 Adjacent sequences:  A303264 A303265 A303266 * A303268 A303269 A303270 KEYWORD nonn AUTHOR M. F. Hasler, Apr 23 2018 STATUS approved

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Last modified November 12 14:43 EST 2019. Contains 329058 sequences. (Running on oeis4.)