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True or False
984029379840293798402937 is a prime number?
Statement
If an odd integer n>1n>1n>1 satisfies 2n−1≡1(modn){ 2 }^{ n-1 }\equiv 1(mod\quad n)2n−1≡1(modn), then nnn must be a prime?
What is the smallest number that doesn't satisfy the above statement?
When n=3n = 3n=3, 2n−3=52^{n}-3 = 52n−3=5. This is the first value of nnn for which 2n−32^n - 32n−3 is prime. What is the 242424th value of nnn such that 2n−32^{n}-32n−3 is a prime number?
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