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%I #11 Jan 23 2022 21:06:11
%S 64,243,279841,62742241,418161601,149398068185838130176
%N Lower of a pair of adjacent perfect powers x^p and y^q with p, q >= 4.
%C If it exists, the next term is > 10^34.
%C There are no more terms up to 10^36. - _Jon E. Schoenfield_, Jan 23 2022
%e n a(n) A340697(n)
%e 1 64 = 2^6, 81 = 3^4
%e 2 243 = 3^5, 256 = 2^8
%e 3 279841 = 23^4, 279936 = 6^7
%e 4 62742241 = 89^4, 62748517 = 13^7
%e 5 418161601 = 143^4, 418195493 = 53^5
%e 6 149398068185838130176 = 10836^5, 149398068209479362001 = 110557^4
%Y The corresponding upper member of the pair is A340697.
%Y Cf. A001597, A340700, A340701.
%K nonn,hard,more
%O 1,1
%A _Hugo Pfoertner_, Jan 21 2021
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