Talk:Fifth power (algebra)
Latest comment: 5 years ago by 128.119.202.132 in topic Is it that only two powers violate Euler's conjecture ... or is it that only two powers are *known* to violate Euler's conjecture?
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Is it that only two powers violate Euler's conjecture ... or is it that only two powers are *known* to violate Euler's conjecture?
editThese sentences
"Along with the fourth power, the fifth power is one of two powers k that can be expressed as the sum of k − 1 other k-th powers, providing counterexamples to Euler's sum of powers conjecture. Specifically,
275 + 845 + 1105 + 1335 = 1445 (Lander & Parkin, 1966)."
suggest that there are only two powers that can violate this conjecture of Euler's.
But that is not known, is it? If indeed that is not known, it would be better to state that only two powers are known to violate Euler's conjecture, rather than to confuse readers. If on the other hand there is a proof that only these two powers violate Euler's conjecture, it would be good to state that explicitly.128.119.202.132 (talk) 04:06, 6 October 2019 (UTC)