2-Find-the-number-of-ordered-triples-a-b-c-of-integers-satisfying-0-a-b-c-1000-for-which-a-3-b-3-c-3-3abc-1-mod-1001-

Question Number 32610 by naka3546 last updated on 29/Mar/18

2 . F i n d t h e n u m b e r o f o r d e r e d t r i p l e s (a, b, c) o f i n t e g e r s s a t i s f y i n g 0 ⩽ a, b, c ⩽ 1000 f o r w h i c h

a^{3} + b^{3} + c^{3} \equiv 3 a b c + 1 (m o d 1001)

Commented by Rasheed.Sindhi last updated on 30/Mar/18

(1, 0, 0), (0, 1, 0) & (0, 0, 1) are satisfying

(Not complete .)