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 A340706 Difference between upper and lower member of a pair of adjacent perfect powers A340700 and A340701, both with exponents > 2. 7
 5, 17, 3, 13, 24, 35, 10, 28, 270, 631, 95, 443, 531, 440, 1487, 1934, 503, 8138, 6276, 12311, 16911, 33892, 11573, 17000, 3807, 45197, 30753, 31457, 65170, 105597, 127209, 206808, 109516, 139456, 377711, 530040, 561600, 690742, 952332, 457704, 671064, 353107 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The differences are expected to be bounded below by the Lang-Waldschmidt conjecture (see Waldschmidt 2013, p. 6, Conjecture 6). LINKS Hugo Pfoertner, Table of n, a(n) for n = 1..1670 Michel Waldschmidt, Lecture on the abc conjecture and some of its consequences, Abdus Salam School of Mathematical Sciences (ASSMS), Lahore, 6th World Conference on 21st Century Mathematics 2013. FORMULA a(n) = A340701(n) - A340700(n). EXAMPLE See A340700. CROSSREFS Cf. A001597, A076467, A340700, A340701, A340702, A340703, A340704, A340705. Sequence in context: A092679 A277534 A090592 * A093558 A170866 A337031 Adjacent sequences: A340703 A340704 A340705 * A340707 A340708 A340709 KEYWORD nonn AUTHOR Hugo Pfoertner, Jan 16 2021 STATUS approved

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Last modified December 5 01:43 EST 2023. Contains 367565 sequences. (Running on oeis4.)