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41 is a prime number from 1-100. 41 has 2 factors, 1 and 41. It is the thirteenth prime number, and the thirteenth prime number from 1-100.

## Proofs

• — 41 can be divided by 1.
• — 41 cannot be divided by 2-40.
• — 41 can be divided by 41.
• Therefore, 41 has 2 factors.

## As an Exponent of Mersenne Number

241 - 1, which is the number 2,199,023,255,551, is divisible by 13,367, and therefore not a prime number.

## Relationship with other odd numbers

### The numbers before

• The previous odd number, 39, is not a prime number. It is divisible by 3 and 13.
• The odd number previous to 39 is 37. 37 is a prime number.
• 37 and 41 are four numbers apart; therefore, they are cousin primes.
• The odd number previous to 37 is 35. 35 is not a prime number. It is divisible by 5 and 7.

### The numbers after

• The next odd number, 43, is a prime number.
• There are no odd numbers between 41 and 43. As a result, they are twin primes.
• 45, the odd number following 43, is not a prime number. It is divisible by 5 and 9.
• 47, the odd number following 45, is a prime number.
• 41 and 47 are six numbers apart; therefore, they are sexy primes.