What is the 6931st prime number?
The 6931st prime number is 69931. The next prime is 69941 (a gap of 10) and the one before is 69929.
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 6931st one is 69931.
- 2
69931 is prime because no prime up to ā69931 ā 264.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6931st prime is close to 6931 Ć ln(6931) ā 61296, and here it is 69931.
- 4
69931 is a twin prime: 69929 and 69931 are both prime.
Primes around the 6931st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6928 | 69899 | 22 |
| 6929 | 69911 | 12 |
| 6930 | 69929 | 18 |
| 6931 | 69931 | 2 |
| 6932 | 69941 | 10 |
| 6933 | 69959 | 18 |
| 6934 | 69991 | 32 |
Questions
What is the 6931st prime number?
69931.
Which prime number is 69931?
69931 is the 6931st prime number.
What is the sum of the first 6931 primes?
228,610,530.