What is the 5737th prime number?
The 5737th prime number is 56569. The next prime is 56591 (a gap of 22) and the one before is 56543.
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 5737th one is 56569.
- 2
56569 is prime because no prime up to ā56569 ā 237.84 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5737th prime is close to 5737 Ć ln(5737) ā 49652, and here it is 56569.
- 4
56569 has no twin: neither 56567 nor 56571 is prime.
Primes around the 5737th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5734 | 56531 | 4 |
| 5735 | 56533 | 2 |
| 5736 | 56543 | 10 |
| 5737 | 56569 | 26 |
| 5738 | 56591 | 22 |
| 5739 | 56597 | 6 |
| 5740 | 56599 | 2 |
Questions
What is the 5737th prime number?
56569.
Which prime number is 56569?
56569 is the 5737th prime number.
What is the sum of the first 5737 primes?
153,207,686.