OFFSET
1,2
COMMENTS
It is conjectured that m always exists.
The present state of knowledge (with ? for unknown entries) is:
1, 25, 441, 100, 169, 289, 121, 2395417249, ?, 15386237159377984, 676, 232324, ?, ?, ?, 64866916, 3721, 3622354596, 279936, ?, ?, 41152225, 29929, 2137444, ?, 11526025, 97969, 9922500, ?, 978626089, ?, 347151424, ?
Known solutions < 10^12 from J. Stauduhar. All others from Tim Peters.
LINKS
J. Stauduhar, 3772 known solutions.
EXAMPLE
128 + 144 + 169 = 441, and 441 is the first perfect power that is the sum of three consecutive perfect powers, so a(3) = 441.
CROSSREFS
KEYWORD
sign,more
AUTHOR
J. Stauduhar and Tim Peters, Dec 14 2023
STATUS
approved