What is the 761st prime number?
The 761st prime number is 5801. The next prime is 5807 (a gap of 6) and the one before is 5791.
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 761st one is 5801.
- 2
5801 is prime because no prime up to ā5801 ā 76.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 761st prime is close to 761 Ć ln(761) ā 5049, and here it is 5801.
- 4
5801 has no twin: neither 5799 nor 5803 is prime.
Primes around the 761st
| Position | Prime | Gap from the previous |
|---|---|---|
| 758 | 5779 | 30 |
| 759 | 5783 | 4 |
| 760 | 5791 | 8 |
| 761 | 5801 | 10 |
| 762 | 5807 | 6 |
| 763 | 5813 | 6 |
| 764 | 5821 | 8 |
Questions
What is the 761st prime number?
5801.
Which prime number is 5801?
5801 is the 761st prime number.
What is the sum of the first 761 primes?
2,045,360.