What is the least positive integer such that is a prime number?
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Positive integers start from 1 , 2 , 3 , 4 , 5 , …
For n = 1 ,
5 n 4 + 3
= 5 ( 1 ) 4 + 3
= 8 ⟶ Not a prime number .
For n = 2 ,
5 n 4 + 3
= 5 ( 2 ) 4 + 3
= 8 3 ⟶ Prime number
Hence n = 2 is the least integer.