4 ms·
Can you find (possibly negative) integers x, y, and z, such that x ^ 3 + y ^ 3 + z ^ 3 == 33? If so, it's publication-worthy.
by DonbunEf7 9y ago
Can you find (possibly negative) integers x, y, and z, such that x ^ 3 + y ^ 3 + z ^ 3 == 33? If so, it's publication-worthy.
- skypather 9y agowhat if I can prove there is no integer solution for it? Is it still publication-worthy?
- chx 9y agoEven more so!
- bmc7505 9y agoIs the constant 33 important (ie. would it be any less significant if it were 42, or 74 instead) and if so, why?
- lifthrasiir 9y agoI was replying that the constants in question include 33, 42 and 74... and realized that I'm late :-) In a more recent survey, though, it is now known that: > 74 = −284650292555885^3 + 66229832190556^3 + 283450105697727^3 [1] [2]. [1] https://arxiv.org/pdf/1604.07746v1.pdf https://arxiv.org/pdf/1604.07746v1.pdf [2] https://mathoverflow.net/a/223121 https://mathoverflow.net/a/223121