What is the 5712th prime number?
The 5712th prime number is 56333. The next prime is 56359 (a gap of 26) and the one before is 56311.
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 5712th one is 56333.
- 2
56333 is prime because no prime up to ā56333 ā 237.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5712th prime is close to 5712 Ć ln(5712) ā 49411, and here it is 56333.
- 4
56333 has no twin: neither 56331 nor 56335 is prime.
Primes around the 5712th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5709 | 56269 | 2 |
| 5710 | 56299 | 30 |
| 5711 | 56311 | 12 |
| 5712 | 56333 | 22 |
| 5713 | 56359 | 26 |
| 5714 | 56369 | 10 |
| 5715 | 56377 | 8 |
Questions
What is the 5712th prime number?
56333.
Which prime number is 56333?
56333 is the 5712th prime number.
What is the sum of the first 5712 primes?
151,796,103.