|
|
A338799
|
|
Smallest number that is the sum of two n-th powers of primes in two different ways.
|
|
1
|
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
The Lander, Parkin, and Selfridge conjecture implies that for n >= 5 a number can be the sum of two n-th powers of positive integers in at most one way, and in particular that a(n) does not exist for n >= 5. - Robert Israel, Nov 13 2020
|
|
LINKS
|
|
|
EXAMPLE
|
10 = 3 + 7 = 5 + 5.
338 = 7^2 + 17^2 = 13^2 + 13^2.
6058655748 = 61^3 + 1823^3 = 1049^3 + 1699^3.
3262811042 = 7^4 + 239^4 = 157^4 + 227^4.
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,hard,more
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|