What is the 5740th prime number?
The 5740th prime number is 56599. The next prime is 56611 (a gap of 12) and the one before is 56597.
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 5740th one is 56599.
- 2
56599 is prime because no prime up to ā56599 ā 237.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5740th prime is close to 5740 Ć ln(5740) ā 49681, and here it is 56599.
- 4
56599 is a twin prime: 56597 and 56599 are both prime.
Primes around the 5740th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5737 | 56569 | 26 |
| 5738 | 56591 | 22 |
| 5739 | 56597 | 6 |
| 5740 | 56599 | 2 |
| 5741 | 56611 | 12 |
| 5742 | 56629 | 18 |
| 5743 | 56633 | 4 |
Questions
What is the 5740th prime number?
56599.
Which prime number is 56599?
56599 is the 5740th prime number.
What is the sum of the first 5740 primes?
153,377,473.