Find-mininum-value-of-n-such-that-both-n-3-and-2020n-1-are-square-numbers-

Question Number 84553 by naka3546 last updated on 14/Mar/20

F i n d m i n i n u m v a l u e o f n s u c h t h a t

b o t h n + 3 a n d 2020 n + 1 a r e s q u a r e n u m b e r s .

Commented by mr W last updated on 14/Mar/20

i g o t n_{m i n} = 2022

2022 + 3 = 2025 = 45^{2} \Rightarrow o k

2020 \times 2022 + 1 = (2021 - 1) (2021 + 1) + 1 = 2021^{2} \Rightarrow o k

Commented by naka3546 last updated on 14/Mar/20

h o w a b o u t n = 726 ?

Commented by mr W last updated on 14/Mar/20

y e s . 726 i s t h e s m a l l e s t n .

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