What is the 767th prime number?
The 767th prime number is 5843. The next prime is 5849 (a gap of 6) and the one before is 5839.
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 767th one is 5843.
- 2
5843 is prime because no prime up to ā5843 ā 76.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 767th prime is close to 767 Ć ln(767) ā 5095, and here it is 5843.
- 4
5843 has no twin: neither 5841 nor 5845 is prime.
Primes around the 767th
| Position | Prime | Gap from the previous |
|---|---|---|
| 764 | 5821 | 8 |
| 765 | 5827 | 6 |
| 766 | 5839 | 12 |
| 767 | 5843 | 4 |
| 768 | 5849 | 6 |
| 769 | 5851 | 2 |
| 770 | 5857 | 6 |
Questions
What is the 767th prime number?
5843.
Which prime number is 5843?
5843 is the 767th prime number.
What is the sum of the first 767 primes?
2,080,310.