What is the 769th prime number?
The 769th prime number is 5851. The next prime is 5857 (a gap of 6) and the one before is 5849.
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 769th one is 5851.
- 2
5851 is prime because no prime up to ā5851 ā 76.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 769th prime is close to 769 Ć ln(769) ā 5110, and here it is 5851.
- 4
5851 is a twin prime: 5849 and 5851 are both prime.
Primes around the 769th
| Position | Prime | Gap from the previous |
|---|---|---|
| 766 | 5839 | 12 |
| 767 | 5843 | 4 |
| 768 | 5849 | 6 |
| 769 | 5851 | 2 |
| 770 | 5857 | 6 |
| 771 | 5861 | 4 |
| 772 | 5867 | 6 |
Questions
What is the 769th prime number?
5851.
Which prime number is 5851?
5851 is the 769th prime number.
What is the sum of the first 769 primes?
2,092,010.