Is this number composite or prime? $$2000^{2002} + 2000^{2000} + 1$$ I want to find an easy approach to this problem.
2026-04-12 07:10:37.1775977837
Is this number composite or prime: $2000^{2002} + 2000^{2000} + 1$?
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$$ 2000^{2002}\equiv 1 (\text{mod 3}),\quad 2000^{2000}\equiv 1 (\text{mod 3}) $$ so your expression is divisible by $3$.