What is the 5711th prime number?
The 5711th prime number is 56311. The next prime is 56333 (a gap of 22) and the one before is 56299.
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 5711th one is 56311.
- 2
56311 is prime because no prime up to ā56311 ā 237.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5711th prime is close to 5711 Ć ln(5711) ā 49401, and here it is 56311.
- 4
56311 has no twin: neither 56309 nor 56313 is prime.
Primes around the 5711th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5708 | 56267 | 4 |
| 5709 | 56269 | 2 |
| 5710 | 56299 | 30 |
| 5711 | 56311 | 12 |
| 5712 | 56333 | 22 |
| 5713 | 56359 | 26 |
| 5714 | 56369 | 10 |
Questions
What is the 5711th prime number?
56311.
Which prime number is 56311?
56311 is the 5711th prime number.
What is the sum of the first 5711 primes?
151,739,770.