OFFSET
1,1
COMMENTS
When a^7 + b^7 = m, (m^5*a)^7 + (m^5*b)^7 = m^36 is 6th power.
When k in this sequence, k*(n^7) (n = 2, 3, ... ) is also in this sequence.
EXAMPLE
64^6 = 32^7 + 32^7, so 64 is in the sequence.
(5000000)^6 = (500000)^7 + (500000)^7, so 5000000 is in the sequence.
MATHEMATICA
lst={}; Do[If[IntegerQ[(n^6-a^7)^(1/7)], AppendTo[lst, n]], {n, 2.9*10^11}, {a, (n^6/2)^(1/7)}]; lst
CROSSREFS
KEYWORD
nonn
AUTHOR
XU Pingya, Sep 03 2017
STATUS
approved