What is the 2888th prime number?
The 2888th prime number is 26267. The next prime is 26293 (a gap of 26) and the one before is 26263.
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 2888th one is 26267.
- 2
26267 is prime because no prime up to ā26267 ā 162.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2888th prime is close to 2888 Ć ln(2888) ā 23013, and here it is 26267.
- 4
26267 has no twin: neither 26265 nor 26269 is prime.
Primes around the 2888th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2885 | 26251 | 2 |
| 2886 | 26261 | 10 |
| 2887 | 26263 | 2 |
| 2888 | 26267 | 4 |
| 2889 | 26293 | 26 |
| 2890 | 26297 | 4 |
| 2891 | 26309 | 12 |
Questions
What is the 2888th prime number?
26267.
Which prime number is 26267?
26267 is the 2888th prime number.
What is the sum of the first 2888 primes?
35,638,023.