What is the 931st prime number?
The 931st prime number is 7307. The next prime is 7309 (a gap of 2) and the one before is 7297.
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 931st one is 7307.
- 2
7307 is prime because no prime up to ā7307 ā 85.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 931st prime is close to 931 Ć ln(931) ā 6365, and here it is 7307.
- 4
7307 is a twin prime: 7307 and 7309 are both prime.
Primes around the 931st
| Position | Prime | Gap from the previous |
|---|---|---|
| 928 | 7253 | 6 |
| 929 | 7283 | 30 |
| 930 | 7297 | 14 |
| 931 | 7307 | 10 |
| 932 | 7309 | 2 |
| 933 | 7321 | 12 |
| 934 | 7331 | 10 |
Questions
What is the 931st prime number?
7307.
Which prime number is 7307?
7307 is the 931st prime number.
What is the sum of the first 931 primes?
3,157,220.