What is the 7107th prime number?
The 7107th prime number is 71809. The next prime is 71821 (a gap of 12) and the one before is 71807.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 7107th one is 71809.
- 2
71809 is prime because no prime up to ā71809 ā 267.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7107th prime is close to 7107 Ć ln(7107) ā 63031, and here it is 71809.
- 4
71809 is a twin prime: 71807 and 71809 are both prime.
Primes around the 7107th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7104 | 71777 | 16 |
| 7105 | 71789 | 12 |
| 7106 | 71807 | 18 |
| 7107 | 71809 | 2 |
| 7108 | 71821 | 12 |
| 7109 | 71837 | 16 |
| 7110 | 71843 | 6 |
Questions
What is the 7107th prime number?
71809.
Which prime number is 71809?
71809 is the 7107th prime number.
What is the sum of the first 7107 primes?
241,083,494.