yes 1 and 2 are prime numbers
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No, neither 1 nor 2 are prime numbers. A Prime number is a positive integer greater than 1 that has no positive divisors other than 1 and itself. 1 only has one positive divisor (1) and 2 has two positive divisors (1 and 2), so they are not prime.
2 is a prime number. 1 is not a prime number
1,2,3,5,7,11,13,17,19,23,29,31.... A prime number has exactly two factors. 2 is prime (its factors are 1 and 2) 3 is prime (its factors are 1 and 3) 5 is prime (its factors are 1 and 5) 1 is not prime (its only factor is 1, this is 1 factor, not 2) 4 is not prime (it has 3 factors: 1, 2, and 4) 6 is not prime (it has 4 factors: 1, 2, 3, and 6)
A prime number has 2 factors; 1 and itself. 0 and 1 are neither prime nor composite, so the prime numbers are 2 and 3.
2 is itself a prime.
1 is not a Mersenne prime because 21 - 1 = 2 - 1 = 1 and 1 is not a prime number.