There is infinite amount of prime numbers. The largest known Prime number is 243,112,609 − 1. It is a number with thirteen million digits. Greek mathematician Euclid proved it with the fact that if you multiply any given set of prime numbers and ad 1 you get either a prime number, or one that has smaller prime numbers - none of which is part of the original set.
Example set: 2, 3, 5
2*3*5=30
30+1=31
Because of the added one, 31 is not divisible by 2, by 3, or by 5. (In this case, it happens to be a prime number.)
For more info and more proofs that there is infinite number of prime numbers, check related link.
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Squares of primes.
You are a multiple of 60. You could be 60 (59 and 61 are primes) or 180 (179 and 181 are primes) or 240 (239 and 241 are primes) or 420 (419 and 421 are primes) or 600 (599 and 601 are primes) or 660 (659 and 661 are primes) ........and there are numerous others.
All numbers that are the square of primes have exactly 3 factors.
The numbers 11 and 13 are prime twins. Prime twins are consecutive prime numbers that differ by a difference of two. For example, 3 and 5, 7 and 9 are twin primes.