What is the 2764th prime number?
The 2764th prime number is 25031. The next prime is 25033 (a gap of 2) and the one before is 25013.
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 2764th one is 25031.
- 2
25031 is prime because no prime up to ā25031 ā 158.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2764th prime is close to 2764 Ć ln(2764) ā 21903, and here it is 25031.
- 4
25031 is a twin prime: 25031 and 25033 are both prime.
Primes around the 2764th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2761 | 24979 | 2 |
| 2762 | 24989 | 10 |
| 2763 | 25013 | 24 |
| 2764 | 25031 | 18 |
| 2765 | 25033 | 2 |
| 2766 | 25037 | 4 |
| 2767 | 25057 | 20 |
Questions
What is the 2764th prime number?
25031.
Which prime number is 25031?
25031 is the 2764th prime number.
What is the sum of the first 2764 primes?
32,455,761.