What is the 5713th prime number?
The 5713th prime number is 56359. The next prime is 56369 (a gap of 10) and the one before is 56333.
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 5713th one is 56359.
- 2
56359 is prime because no prime up to ā56359 ā 237.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5713th prime is close to 5713 Ć ln(5713) ā 49420, and here it is 56359.
- 4
56359 has no twin: neither 56357 nor 56361 is prime.
Primes around the 5713th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5710 | 56299 | 30 |
| 5711 | 56311 | 12 |
| 5712 | 56333 | 22 |
| 5713 | 56359 | 26 |
| 5714 | 56369 | 10 |
| 5715 | 56377 | 8 |
| 5716 | 56383 | 6 |
Questions
What is the 5713th prime number?
56359.
Which prime number is 56359?
56359 is the 5713th prime number.
What is the sum of the first 5713 primes?
151,852,462.