What is the 765th prime number?
The 765th prime number is 5827. The next prime is 5839 (a gap of 12) and the one before is 5821.
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 765th one is 5827.
- 2
5827 is prime because no prime up to ā5827 ā 76.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 765th prime is close to 765 Ć ln(765) ā 5080, and here it is 5827.
- 4
5827 has no twin: neither 5825 nor 5829 is prime.
Primes around the 765th
| Position | Prime | Gap from the previous |
|---|---|---|
| 762 | 5807 | 6 |
| 763 | 5813 | 6 |
| 764 | 5821 | 8 |
| 765 | 5827 | 6 |
| 766 | 5839 | 12 |
| 767 | 5843 | 4 |
| 768 | 5849 | 6 |
Questions
What is the 765th prime number?
5827.
Which prime number is 5827?
5827 is the 765th prime number.
What is the sum of the first 765 primes?
2,068,628.