What is the 5751st prime number?
The 5751st prime number is 56713. The next prime is 56731 (a gap of 18) and the one before is 56711.
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 5751st one is 56713.
- 2
56713 is prime because no prime up to ā56713 ā 238.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5751st prime is close to 5751 Ć ln(5751) ā 49787, and here it is 56713.
- 4
56713 is a twin prime: 56711 and 56713 are both prime.
Primes around the 5751st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5748 | 56687 | 6 |
| 5749 | 56701 | 14 |
| 5750 | 56711 | 10 |
| 5751 | 56713 | 2 |
| 5752 | 56731 | 18 |
| 5753 | 56737 | 6 |
| 5754 | 56747 | 10 |
Questions
What is the 5751st prime number?
56713.
Which prime number is 56713?
56713 is the 5751st prime number.
What is the sum of the first 5751 primes?
154,000,832.