Find-the-smallest-positive-integer-n-so-that-1-2-2-2-3-2-n-2-is-divided-by-n-

Question Number 150746 by naka3546 last updated on 15/Aug/21

F i n d t h e s m a l l e s t p o s i t i v e i n t e g e r n s o t h a t (1^{2} + 2^{2} + 3^{2} + \dots + n^{2}) i s d i v i d e d b y n .

Answered by mr W last updated on 15/Aug/21

a s s u m e n > 1 .

Σ = \frac{n (n + 1) (2 n + 1)}{6}

t h i s i s d i v i s i b l e b y n f o r a n y n i f

n + 1 = 6 k o r n = 6 k - 1

s o t h e s m a l l e s t n i s t h e n n = 5

Answered by naka3546 last updated on 15/Aug/21

t h a n k y o u, s i r .

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