What is the 2931st prime number?
The 2931st prime number is 26713. The next prime is 26717 (a gap of 4) and the one before is 26711.
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 2931st one is 26713.
- 2
26713 is prime because no prime up to ā26713 ā 163.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2931st prime is close to 2931 Ć ln(2931) ā 23398, and here it is 26713.
- 4
26713 is a twin prime: 26711 and 26713 are both prime.
Primes around the 2931st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2928 | 26699 | 6 |
| 2929 | 26701 | 2 |
| 2930 | 26711 | 10 |
| 2931 | 26713 | 2 |
| 2932 | 26717 | 4 |
| 2933 | 26723 | 6 |
| 2934 | 26729 | 6 |
Questions
What is the 2931st prime number?
26713.
Which prime number is 26713?
26713 is the 2931st prime number.
What is the sum of the first 2931 primes?
36,777,858.