What is the 2881st prime number?
The 2881st prime number is 26209. The next prime is 26227 (a gap of 18) and the one before is 26203.
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 2881st one is 26209.
- 2
26209 is prime because no prime up to ā26209 ā 161.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2881st prime is close to 2881 Ć ln(2881) ā 22950, and here it is 26209.
- 4
26209 has no twin: neither 26207 nor 26211 is prime.
Primes around the 2881st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2878 | 26183 | 6 |
| 2879 | 26189 | 6 |
| 2880 | 26203 | 14 |
| 2881 | 26209 | 6 |
| 2882 | 26227 | 18 |
| 2883 | 26237 | 10 |
| 2884 | 26249 | 12 |
Questions
What is the 2881st prime number?
26209.
Which prime number is 26209?
26209 is the 2881st prime number.
What is the sum of the first 2881 primes?
35,454,268.