Show for the equation a^n = b^2 −1 where n>1 and a>2 are any natural numbers , there are no positive integer solutions for a and b ?


Question and Answers Forum

All Questions Topic List
Number Theory Questions
Previous in All Question Next in All Question
Previous in Number Theory Next in Number Theory
Question Number 120202 by bemath last updated on 30/Oct/20

$S h o w f o r t h e e q u a t i o n a^{n} = b^{2} - 1$ $w h e r e n > 1 a n d a > 2 a r e a n y n a t u r a l$ $n u m b e r s, t h e r e a r e n o p o s i t i v e i n t e g e r$ $s o l u t i o n s f o r a a n d b ?$
Terms of Service
Privacy Policy
Contact: info@tinkutara.com

Question and Answers Forum