What is the 5750th prime number?
The 5750th prime number is 56711. The next prime is 56713 (a gap of 2) and the one before is 56701.
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 5750th one is 56711.
- 2
56711 is prime because no prime up to ā56711 ā 238.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5750th prime is close to 5750 Ć ln(5750) ā 49777, and here it is 56711.
- 4
56711 is a twin prime: 56711 and 56713 are both prime.
Primes around the 5750th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5747 | 56681 | 10 |
| 5748 | 56687 | 6 |
| 5749 | 56701 | 14 |
| 5750 | 56711 | 10 |
| 5751 | 56713 | 2 |
| 5752 | 56731 | 18 |
| 5753 | 56737 | 6 |
Questions
What is the 5750th prime number?
56711.
Which prime number is 56711?
56711 is the 5750th prime number.
What is the sum of the first 5750 primes?
153,944,119.