What is the 5747th prime number?
The 5747th prime number is 56681. The next prime is 56687 (a gap of 6) and the one before is 56671.
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 5747th one is 56681.
- 2
56681 is prime because no prime up to ā56681 ā 238.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5747th prime is close to 5747 Ć ln(5747) ā 49749, and here it is 56681.
- 4
56681 has no twin: neither 56679 nor 56683 is prime.
Primes around the 5747th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5744 | 56659 | 26 |
| 5745 | 56663 | 4 |
| 5746 | 56671 | 8 |
| 5747 | 56681 | 10 |
| 5748 | 56687 | 6 |
| 5749 | 56701 | 14 |
| 5750 | 56711 | 10 |
Questions
What is the 5747th prime number?
56681.
Which prime number is 56681?
56681 is the 5747th prime number.
What is the sum of the first 5747 primes?
153,774,020.