There are 25 prime numbers between 1 and 100.
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The numbers 1103, 1109, 1117, 1123, 1129, 1151, 1153, 1163, 1171, 1181, 1187 and 1193 are prime.
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.