OFFSET
1,1
COMMENTS
When a^5 + b^5 = m, (m^3 * a)^5 + (m^3 * b)^5 = m^16 is 4th power.
When k in this sequence, k * (n^5), for n > 1, is also in this sequence.
EXAMPLE
16^4 = 8^5 + 8^5, so 16 is in the sequence.
1185921^4 = 35937^5 + 71874^5, so 1185921 is in the sequence.
MATHEMATICA
lst={}; Do[If[IntegerQ[(n^4-a^5)^(1/5)], AppendTo[lst, n]], {n, 2.3*10^8}, {a, (n^4/2)^(1/5)}]; lst
CROSSREFS
KEYWORD
nonn
AUTHOR
XU Pingya, Sep 04 2017
STATUS
approved