What is the 764th prime number?
The 764th prime number is 5821. The next prime is 5827 (a gap of 6) and the one before is 5813.
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 764th one is 5821.
- 2
5821 is prime because no prime up to ā5821 ā 76.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 764th prime is close to 764 Ć ln(764) ā 5072, and here it is 5821.
- 4
5821 has no twin: neither 5819 nor 5823 is prime.
Primes around the 764th
| Position | Prime | Gap from the previous |
|---|---|---|
| 761 | 5801 | 10 |
| 762 | 5807 | 6 |
| 763 | 5813 | 6 |
| 764 | 5821 | 8 |
| 765 | 5827 | 6 |
| 766 | 5839 | 12 |
| 767 | 5843 | 4 |
Questions
What is the 764th prime number?
5821.
Which prime number is 5821?
5821 is the 764th prime number.
What is the sum of the first 764 primes?
2,062,801.