Is the product of two integers $$A$$ and $$B$$ odd?

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Is the product of two integers $$A$$ and $$B$$ odd?

by M7MBA » Thu Aug 19, 2021 1:22 pm

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Is the product of two integers $$A$$ and $$B$$ odd?

(1) $$A$$ is the number of factors of $$N,$$ where $$N$$ is a perfect square and $$B=A^3-1.$$
(2) $$A$$ is a product of two consecutive prime numbers and when $$B+3^{11}$$ is added to $$A,$$ the sum is an odd number.