What is the 768th prime number?
The 768th prime number is 5849. The next prime is 5851 (a gap of 2) and the one before is 5843.
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 768th one is 5849.
- 2
5849 is prime because no prime up to ā5849 ā 76.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 768th prime is close to 768 Ć ln(768) ā 5102, and here it is 5849.
- 4
5849 is a twin prime: 5849 and 5851 are both prime.
Primes around the 768th
| Position | Prime | Gap from the previous |
|---|---|---|
| 765 | 5827 | 6 |
| 766 | 5839 | 12 |
| 767 | 5843 | 4 |
| 768 | 5849 | 6 |
| 769 | 5851 | 2 |
| 770 | 5857 | 6 |
| 771 | 5861 | 4 |
Questions
What is the 768th prime number?
5849.
Which prime number is 5849?
5849 is the 768th prime number.
What is the sum of the first 768 primes?
2,086,159.