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A340696 Lower of a pair of adjacent perfect powers x^p and y^q with p, q >= 4. 2

%I

%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,changed

%O 1,1

%A _Hugo Pfoertner_, Jan 21 2021

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Last modified January 27 07:42 EST 2022. Contains 350605 sequences. (Running on oeis4.)