proof of fermat-catalan conjecture through the ... - Nardelli - Xoom.it

Versione 1.022/3/2013Pagina 15 di 491 1 1 6+ + > 24 5 x π \x < 6,33then the only possible values are1 1 1 , and2 3 6So we can havea 4 + b 5 = c 3or any permutation of 3, 4 and 5, asa 3 + b 5 = c 4a 3 + b 4 = c 5The last equation cannot give solutions.In the same way we havea 5 + b 6 = c 4a 4 + b 6 = c 5a 4 + b 5 = c 6The last equation cannot give solutions.So we have the subseta 4 + b 5 = c 3a 3 + b 5 = c 4