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

64, 243, 279841, 62742241, 418161601, 149398068185838130176

Offset: 1

Author

Hugo Pfoertner, Jan 21 2021

Keywords

• nonn
• hard
• more

Comments

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

There are no more terms up to 10^36. - Jon E. Schoenfield, Jan 23 2022

Examples

			  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.