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A340696 Lower of a pair of adjacent perfect powers x^p and y^q with p, q >= 4. 2
64, 243, 279841, 62742241, 418161601, 149398068185838130176 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

If it exists, the next term is > 10^34.

LINKS

Table of n, a(n) for n=1..6.

EXAMPLE

  n                   a(n)                       A340697(n)

  1                     64 =     2^6,                    81 =      3^4

  2                    243 =     3^5,                   256 =      2^8

  3                 279841 =    23^4,                279936 =      6^7

  4               62742241 =    89^4,              62748517 =     13^7

  5              418161601 =   143^4,             418195493 =     53^5

  6  149398068185838130176 = 10836^5, 149398068209479362001 = 110557^4

CROSSREFS

The corresponding upper member of the pair is A340697.

Cf. A001597, A340700, A340701.

Sequence in context: A228687 A349109 A223332 * A333428 A197605 A198071

Adjacent sequences:  A340693 A340694 A340695 * A340697 A340698 A340699

KEYWORD

nonn,hard,more

AUTHOR

Hugo Pfoertner, Jan 21 2021

STATUS

approved

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Last modified December 1 16:44 EST 2021. Contains 349430 sequences. (Running on oeis4.)