What is the 758th prime number?
The 758th prime number is 5779. The next prime is 5783 (a gap of 4) and the one before is 5749.
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 758th one is 5779.
- 2
5779 is prime because no prime up to ā5779 ā 76.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 758th prime is close to 758 Ć ln(758) ā 5026, and here it is 5779.
- 4
5779 has no twin: neither 5777 nor 5781 is prime.
Primes around the 758th
| Position | Prime | Gap from the previous |
|---|---|---|
| 755 | 5741 | 4 |
| 756 | 5743 | 2 |
| 757 | 5749 | 6 |
| 758 | 5779 | 30 |
| 759 | 5783 | 4 |
| 760 | 5791 | 8 |
| 761 | 5801 | 10 |
Questions
What is the 758th prime number?
5779.
Which prime number is 5779?
5779 is the 758th prime number.
What is the sum of the first 758 primes?
2,027,985.