What is the 757th prime number?
The 757th prime number is 5749. The next prime is 5779 (a gap of 30) and the one before is 5743.
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 757th one is 5749.
- 2
5749 is prime because no prime up to ā5749 ā 75.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 757th prime is close to 757 Ć ln(757) ā 5018, and here it is 5749.
- 4
5749 has no twin: neither 5747 nor 5751 is prime.
Primes around the 757th
| Position | Prime | Gap from the previous |
|---|---|---|
| 754 | 5737 | 20 |
| 755 | 5741 | 4 |
| 756 | 5743 | 2 |
| 757 | 5749 | 6 |
| 758 | 5779 | 30 |
| 759 | 5783 | 4 |
| 760 | 5791 | 8 |
Questions
What is the 757th prime number?
5749.
Which prime number is 5749?
5749 is the 757th prime number.
What is the sum of the first 757 primes?
2,022,206.