What is the 5709th prime number?
The 5709th prime number is 56269. The next prime is 56299 (a gap of 30) and the one before is 56267.
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 5709th one is 56269.
- 2
56269 is prime because no prime up to ā56269 ā 237.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5709th prime is close to 5709 Ć ln(5709) ā 49382, and here it is 56269.
- 4
56269 is a twin prime: 56267 and 56269 are both prime.
Primes around the 5709th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5706 | 56249 | 10 |
| 5707 | 56263 | 14 |
| 5708 | 56267 | 4 |
| 5709 | 56269 | 2 |
| 5710 | 56299 | 30 |
| 5711 | 56311 | 12 |
| 5712 | 56333 | 22 |
Questions
What is the 5709th prime number?
56269.
Which prime number is 56269?
56269 is the 5709th prime number.
What is the sum of the first 5709 primes?
151,627,160.