Prime and power

Number Theory Level 2

True or false?

For any positive integer n n , p n < 2 2 n p_n < 2^{2^n} , where p k p_k is the k k . prime number.

False True

Áron Bán-Szabó by Áron Bán-Szabó , 17, Hungary

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1 solution

. .
Mar 15, 2021

Substituting n = 1 n = 1 to the equation, so 2 < 4 2 < 4 .

So it is True \boxed { \text { True } } .

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