What is the 752nd prime number?
The 752nd prime number is 5711. The next prime is 5717 (a gap of 6) and the one before is 5701.
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 752nd one is 5711.
- 2
5711 is prime because no prime up to ā5711 ā 75.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 752nd prime is close to 752 Ć ln(752) ā 4980, and here it is 5711.
- 4
5711 has no twin: neither 5709 nor 5713 is prime.
Primes around the 752nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 749 | 5689 | 6 |
| 750 | 5693 | 4 |
| 751 | 5701 | 8 |
| 752 | 5711 | 10 |
| 753 | 5717 | 6 |
| 754 | 5737 | 20 |
| 755 | 5741 | 4 |
Questions
What is the 752nd prime number?
5711.
Which prime number is 5711?
5711 is the 752nd prime number.
What is the sum of the first 752 primes?
1,993,519.