What is the 2889th prime number?
The 2889th prime number is 26293. The next prime is 26297 (a gap of 4) and the one before is 26267.
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 2889th one is 26293.
- 2
26293 is prime because no prime up to ā26293 ā 162.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2889th prime is close to 2889 Ć ln(2889) ā 23021, and here it is 26293.
- 4
26293 has no twin: neither 26291 nor 26295 is prime.
Primes around the 2889th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2886 | 26261 | 10 |
| 2887 | 26263 | 2 |
| 2888 | 26267 | 4 |
| 2889 | 26293 | 26 |
| 2890 | 26297 | 4 |
| 2891 | 26309 | 12 |
| 2892 | 26317 | 8 |
Questions
What is the 2889th prime number?
26293.
Which prime number is 26293?
26293 is the 2889th prime number.
What is the sum of the first 2889 primes?
35,664,316.