What is the 766th prime number?
The 766th prime number is 5839. The next prime is 5843 (a gap of 4) and the one before is 5827.
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 766th one is 5839.
- 2
5839 is prime because no prime up to ā5839 ā 76.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 766th prime is close to 766 Ć ln(766) ā 5087, and here it is 5839.
- 4
5839 has no twin: neither 5837 nor 5841 is prime.
Primes around the 766th
| Position | Prime | Gap from the previous |
|---|---|---|
| 763 | 5813 | 6 |
| 764 | 5821 | 8 |
| 765 | 5827 | 6 |
| 766 | 5839 | 12 |
| 767 | 5843 | 4 |
| 768 | 5849 | 6 |
| 769 | 5851 | 2 |
Questions
What is the 766th prime number?
5839.
Which prime number is 5839?
5839 is the 766th prime number.
What is the sum of the first 766 primes?
2,074,467.