What is the 5748th prime number?
The 5748th prime number is 56687. The next prime is 56701 (a gap of 14) and the one before is 56681.
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 5748th one is 56687.
- 2
56687 is prime because no prime up to ā56687 ā 238.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5748th prime is close to 5748 Ć ln(5748) ā 49758, and here it is 56687.
- 4
56687 has no twin: neither 56685 nor 56689 is prime.
Primes around the 5748th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5745 | 56663 | 4 |
| 5746 | 56671 | 8 |
| 5747 | 56681 | 10 |
| 5748 | 56687 | 6 |
| 5749 | 56701 | 14 |
| 5750 | 56711 | 10 |
| 5751 | 56713 | 2 |
Questions
What is the 5748th prime number?
56687.
Which prime number is 56687?
56687 is the 5748th prime number.
What is the sum of the first 5748 primes?
153,830,707.