What is the 763rd prime number?
The 763rd prime number is 5813. The next prime is 5821 (a gap of 8) and the one before is 5807.
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 763rd one is 5813.
- 2
5813 is prime because no prime up to ā5813 ā 76.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 763rd prime is close to 763 Ć ln(763) ā 5064, and here it is 5813.
- 4
5813 has no twin: neither 5811 nor 5815 is prime.
Primes around the 763rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 760 | 5791 | 8 |
| 761 | 5801 | 10 |
| 762 | 5807 | 6 |
| 763 | 5813 | 6 |
| 764 | 5821 | 8 |
| 765 | 5827 | 6 |
| 766 | 5839 | 12 |
Questions
What is the 763rd prime number?
5813.
Which prime number is 5813?
5813 is the 763rd prime number.
What is the sum of the first 763 primes?
2,056,980.