What is the 3131st prime number?
The 3131st prime number is 28751. The next prime is 28753 (a gap of 2) and the one before is 28729.
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 3131st one is 28751.
- 2
28751 is prime because no prime up to ā28751 ā 169.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3131st prime is close to 3131 Ć ln(3131) ā 25202, and here it is 28751.
- 4
28751 is a twin prime: 28751 and 28753 are both prime.
Primes around the 3131st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3128 | 28711 | 8 |
| 3129 | 28723 | 12 |
| 3130 | 28729 | 6 |
| 3131 | 28751 | 22 |
| 3132 | 28753 | 2 |
| 3133 | 28759 | 6 |
| 3134 | 28771 | 12 |
Questions
What is the 3131st prime number?
28751.
Which prime number is 28751?
28751 is the 3131st prime number.
What is the sum of the first 3131 primes?
42,329,552.