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Computer Science

# Prime testing

True or False

$$98402937$$ is a prime number?

Statement

If an odd integer $$n>1$$ satisfies $${ 2 }^{ n-1 }\equiv 1(mod\quad n)$$, then $$n$$ must be a prime?

What is the smallest number that doesn't satisfy the above statement?

What is the $$24$$th value of $$n$$ such that $$2^{n}-3$$ is a prime number?

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