If you mean a regular six-sided die, there are 3: 2,3 and 5. Some people would argue that 1 is a Prime number, but in fact 1 is not, as it only has one natural number divisor, while prime numbers have exactly two distinct natural number divisors.
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There are infinite prime numbers as there is infinite numbers. You cannot limit the counting of primes.
16 prime numbers
15 prime numbers
Infinitely many numbers are relatively prime to 37. Because 37 is a prime number, all other numbers are relatively prime to it.
There are many, many more odd prime numbers than even prime numbers; there is only 1 even prime number, namely 2, whereas the odd prime numbers are 3, 5, 7, 11, ...