What is the 5739th prime number?
The 5739th prime number is 56597. The next prime is 56599 (a gap of 2) and the one before is 56591.
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 5739th one is 56597.
- 2
56597 is prime because no prime up to ā56597 ā 237.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5739th prime is close to 5739 Ć ln(5739) ā 49671, and here it is 56597.
- 4
56597 is a twin prime: 56597 and 56599 are both prime.
Primes around the 5739th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5736 | 56543 | 10 |
| 5737 | 56569 | 26 |
| 5738 | 56591 | 22 |
| 5739 | 56597 | 6 |
| 5740 | 56599 | 2 |
| 5741 | 56611 | 12 |
| 5742 | 56629 | 18 |
Questions
What is the 5739th prime number?
56597.
Which prime number is 56597?
56597 is the 5739th prime number.
What is the sum of the first 5739 primes?
153,320,874.