What is the 760th prime number?
The 760th prime number is 5791. The next prime is 5801 (a gap of 10) and the one before is 5783.
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 760th one is 5791.
- 2
5791 is prime because no prime up to ā5791 ā 76.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 760th prime is close to 760 Ć ln(760) ā 5041, and here it is 5791.
- 4
5791 has no twin: neither 5789 nor 5793 is prime.
Primes around the 760th
| Position | Prime | Gap from the previous |
|---|---|---|
| 757 | 5749 | 6 |
| 758 | 5779 | 30 |
| 759 | 5783 | 4 |
| 760 | 5791 | 8 |
| 761 | 5801 | 10 |
| 762 | 5807 | 6 |
| 763 | 5813 | 6 |
Questions
What is the 760th prime number?
5791.
Which prime number is 5791?
5791 is the 760th prime number.
What is the sum of the first 760 primes?
2,039,559.