What is the 2882nd prime number?
The 2882nd prime number is 26227. The next prime is 26237 (a gap of 10) and the one before is 26209.
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 2882nd one is 26227.
- 2
26227 is prime because no prime up to ā26227 ā 161.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2882nd prime is close to 2882 Ć ln(2882) ā 22959, and here it is 26227.
- 4
26227 has no twin: neither 26225 nor 26229 is prime.
Primes around the 2882nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2879 | 26189 | 6 |
| 2880 | 26203 | 14 |
| 2881 | 26209 | 6 |
| 2882 | 26227 | 18 |
| 2883 | 26237 | 10 |
| 2884 | 26249 | 12 |
| 2885 | 26251 | 2 |
Questions
What is the 2882nd prime number?
26227.
Which prime number is 26227?
26227 is the 2882nd prime number.
What is the sum of the first 2882 primes?
35,480,495.