OFFSET
1,1
COMMENTS
When a^7 + b^7 = m, (m^2*a)^7 + (m^2*b)^7 = m^15 is 5th power.
When k in this sequence, k*(n^7) (n = 2, 3, ... ) is also in this sequence.
EXAMPLE
8^5 = 4^7 + 4^7, so 8 is in the sequence.
2146689^5 = 16641^7 + 33282^7, so 2146689 is in the sequence.
MATHEMATICA
lst={}; Do[If[IntegerQ[(n^5-a^7)^(1/7)], AppendTo[lst, n]], {n, 1.3*10^10}, {a, (n^5/2)^(1/7)}]; lst
CROSSREFS
KEYWORD
nonn
AUTHOR
XU Pingya, Sep 03 2017
STATUS
approved