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)


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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

$(1, 0, 0), (0, 1, 0) & (0, 0, 1) are satisfying$ $(Not complete .)$
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