What is the 759th prime number?
The 759th prime number is 5783. The next prime is 5791 (a gap of 8) and the one before is 5779.
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 759th one is 5783.
- 2
5783 is prime because no prime up to ā5783 ā 76.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 759th prime is close to 759 Ć ln(759) ā 5034, and here it is 5783.
- 4
5783 has no twin: neither 5781 nor 5785 is prime.
Primes around the 759th
| Position | Prime | Gap from the previous |
|---|---|---|
| 756 | 5743 | 2 |
| 757 | 5749 | 6 |
| 758 | 5779 | 30 |
| 759 | 5783 | 4 |
| 760 | 5791 | 8 |
| 761 | 5801 | 10 |
| 762 | 5807 | 6 |
Questions
What is the 759th prime number?
5783.
Which prime number is 5783?
5783 is the 759th prime number.
What is the sum of the first 759 primes?
2,033,768.