What is the 5749th prime number?
The 5749th prime number is 56701. The next prime is 56711 (a gap of 10) and the one before is 56687.
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 5749th one is 56701.
- 2
56701 is prime because no prime up to ā56701 ā 238.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5749th prime is close to 5749 Ć ln(5749) ā 49768, and here it is 56701.
- 4
56701 has no twin: neither 56699 nor 56703 is prime.
Primes around the 5749th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5746 | 56671 | 8 |
| 5747 | 56681 | 10 |
| 5748 | 56687 | 6 |
| 5749 | 56701 | 14 |
| 5750 | 56711 | 10 |
| 5751 | 56713 | 2 |
| 5752 | 56731 | 18 |
Questions
What is the 5749th prime number?
56701.
Which prime number is 56701?
56701 is the 5749th prime number.
What is the sum of the first 5749 primes?
153,887,408.