What is the 2885th prime number?
The 2885th prime number is 26251. The next prime is 26261 (a gap of 10) and the one before is 26249.
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 2885th one is 26251.
- 2
26251 is prime because no prime up to ā26251 ā 162.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2885th prime is close to 2885 Ć ln(2885) ā 22986, and here it is 26251.
- 4
26251 is a twin prime: 26249 and 26251 are both prime.
Primes around the 2885th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2882 | 26227 | 18 |
| 2883 | 26237 | 10 |
| 2884 | 26249 | 12 |
| 2885 | 26251 | 2 |
| 2886 | 26261 | 10 |
| 2887 | 26263 | 2 |
| 2888 | 26267 | 4 |
Questions
What is the 2885th prime number?
26251.
Which prime number is 26251?
26251 is the 2885th prime number.
What is the sum of the first 2885 primes?
35,559,232.