What is the 5710th prime number?
The 5710th prime number is 56299. The next prime is 56311 (a gap of 12) and the one before is 56269.
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 5710th one is 56299.
- 2
56299 is prime because no prime up to ā56299 ā 237.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5710th prime is close to 5710 Ć ln(5710) ā 49391, and here it is 56299.
- 4
56299 has no twin: neither 56297 nor 56301 is prime.
Primes around the 5710th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5707 | 56263 | 14 |
| 5708 | 56267 | 4 |
| 5709 | 56269 | 2 |
| 5710 | 56299 | 30 |
| 5711 | 56311 | 12 |
| 5712 | 56333 | 22 |
| 5713 | 56359 | 26 |
Questions
What is the 5710th prime number?
56299.
Which prime number is 56299?
56299 is the 5710th prime number.
What is the sum of the first 5710 primes?
151,683,459.