First of all, 45 is not a Prime number.
The smallest prime bigger than 45 is 47.
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The next prime number after 23 is 29. A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. In this case, 29 is the next number that meets this criteria after 23.
It is 37
The next prime number greater than 50 is 53.53
The first prime number greater than 60 is 61.