What is the 5707th prime number?
The 5707th prime number is 56263. The next prime is 56267 (a gap of 4) and the one before is 56249.
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 5707th one is 56263.
- 2
56263 is prime because no prime up to ā56263 ā 237.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5707th prime is close to 5707 Ć ln(5707) ā 49362, and here it is 56263.
- 4
56263 has no twin: neither 56261 nor 56265 is prime.
Primes around the 5707th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5704 | 56237 | 28 |
| 5705 | 56239 | 2 |
| 5706 | 56249 | 10 |
| 5707 | 56263 | 14 |
| 5708 | 56267 | 4 |
| 5709 | 56269 | 2 |
| 5710 | 56299 | 30 |
Questions
What is the 5707th prime number?
56263.
Which prime number is 56263?
56263 is the 5707th prime number.
What is the sum of the first 5707 primes?
151,514,624.