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A338799 Smallest number that is the sum of two n-th powers of primes in two different ways. 1
10, 338, 6058655748, 3262811042 (list; graph; refs; listen; history; text; internal format)
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
Sequence in context: A113082 A288684 A046747 * A006426 A029698 A197598
KEYWORD
nonn,hard,more
AUTHOR
Ilya Gutkovskiy, Nov 10 2020
STATUS
approved

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Last modified March 29 11:14 EDT 2024. Contains 371278 sequences. (Running on oeis4.)