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61 is a prime number from 1-100. 61 has 2 factors, 1 and 61. It is the eighteenth prime number, and the eighteenth prime number from 1-100.

## Proofs

• — 61 can be divided by 1.
• — 61 cannot be divided by 2-60.
• — 61 can be divided by 61.

## As an Exponent of Mersenne Number

261 - 1, which is the number 2,305,843,009,213,693,951, is a prime number. It is the 9th Mersenne Prime.

## Relationship with other odd numbers

### The numbers before

• The previous odd number, 59, is a prime number.
• There are no odd numbers between 59 and 61. As a result, they are twin primes.
• The prime number previous to 59 is 53. All numbers between 53 and 59 are composite.
• Among them, 55 is divisible by 5 and 11 while 57 is divisible by 3 and 19.

### The numbers after

• The next odd number, 63, is not a prime number. It is divisible by 3.
• 65, the odd number following 63, is also not a prime number. It is divisible by 5.
• 67, the odd number following 65, is a prime number.
• 61 and 67 are six numbers apart; therefore, they are sexy primes.
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