A364948 Perfect powers that are equal to the sum of the first k perfect powers > 1 for some k.

4, 121, 2548735225

Offset: 1

Author

Ilya Gutkovskiy, Aug 14 2023

Keywords

• nonn
• bref
• hard
• more

Examples

			121 is a term because 121 = 11^2 = 4 + 8 + 9 + 16 + 25 + 27 + 32 = 2^2 + 2^3 + 3^2 + 2^4 + 5^2 + 3^3 + 2^5.
		

Crossrefs

Cf. A001597, A013918, A013921, A013932.

Programs

Mathematica

Select[Accumulate[Select[Range[3723875], GCD @@ FactorInteger[#][[All, 2]] > 1 &]], GCD @@ FactorInteger[#][[All, 2]] > 1 &]