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 A173342 Numbers n such that n^7 and a cube are between consecutive squares. 3
 2, 3, 498, 2266144, 272585923 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS No other terms < 10^8. The corresponding sequence for n^5 is A173341. Are there ever more than two perfect powers between consecutive squares? a(6) > 10^10. [From Donovan Johnson, Apr 17 2010] LINKS EXAMPLE 2 is here because 2^7=128 and 5^3=125 are between 11^2=121 and 12^2=144. 3 is here because 3^7=2187 and 13^3=2197 are between 46^2=2116 and 47^2=2209. 498 is here because 498^7 and 1965781^3 are between 2756149047^2 and 2756149048^2. 2266144 is here because 2266144^7 and 674534510965903^3 are between 17518876914709436673663^2 and 17518876914709436673664^2. MATHEMATICA t={}; Do[n2=Floor[n^(7/2)]; n3=Round[n^(7/3)]; If[n2^2

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Last modified July 27 02:39 EDT 2021. Contains 346302 sequences. (Running on oeis4.)