What is the 2886th prime number?
The 2886th prime number is 26261. The next prime is 26263 (a gap of 2) and the one before is 26251.
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 2886th one is 26261.
- 2
26261 is prime because no prime up to ā26261 ā 162.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2886th prime is close to 2886 Ć ln(2886) ā 22995, and here it is 26261.
- 4
26261 is a twin prime: 26261 and 26263 are both prime.
Primes around the 2886th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2883 | 26237 | 10 |
| 2884 | 26249 | 12 |
| 2885 | 26251 | 2 |
| 2886 | 26261 | 10 |
| 2887 | 26263 | 2 |
| 2888 | 26267 | 4 |
| 2889 | 26293 | 26 |
Questions
What is the 2886th prime number?
26261.
Which prime number is 26261?
26261 is the 2886th prime number.
What is the sum of the first 2886 primes?
35,585,493.