Question Number 120202 by bemath last updated on 30/Oct/20 | ||
$${Show}\:{for}\:{the}\:{equation}\:{a}^{{n}} \:=\:{b}^{\mathrm{2}} −\mathrm{1}\: \\ $$ $${where}\:{n}>\mathrm{1}\:{and}\:{a}>\mathrm{2}\:{are}\:{any}\:{natural} \\ $$ $${numbers}\:,\:{there}\:{are}\:{no}\:{positive}\:{integer} \\ $$ $${solutions}\:{for}\:{a}\:{and}\:{b}\:? \\ $$ | ||