Show-for-the-equation-a-n-b-2-1-where-n-gt-1-and-a-gt-2-are-any-natural-numbers-there-are-no-positive-integer-solutions-for-a-and-b-

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 ?