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71 is a prime number from 1-100. 71 has 2 factors, 1 and 71. It is the twentieth prime number, and the twentieth prime number from 1-100.

## Proofs

• — 71 can be divided by 1.
• — 71 cannot be divided by 2-70.
• — 71 can be divided by 71.

## As an Exponent of Mersenne Number

271 - 1 can be divided by numbers such as 228,479 and 48,544,121, and is therefore not a prime number.

## Relationship with other odd numbers

### The numbers before

• The previous odd number, 69, is not a prime number. It is divisible by 3.
• The odd number previous to 69 is 67. 67 is a prime number.
• 67 and 71 are four numbers apart; therefore, they are cousin primes.
• The odd number previous to 67 is 65. 65 is not a prime number. It is divisible by 5.

### The numbers after

• The next odd number, 73, is a prime number.
• There are no odd numbers between 71 and 73. As a result, they are twin primes.
• 75, the odd number following 73, is not a prime number. It is divisible by 5.
• 77, the odd number following 75, is also not a prime number. It is divisible by 7.
• 79 is the next prime number after 73.
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