What is the 2890th prime number?
The 2890th prime number is 26297. The next prime is 26309 (a gap of 12) and the one before is 26293.
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 2890th one is 26297.
- 2
26297 is prime because no prime up to ā26297 ā 162.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2890th prime is close to 2890 Ć ln(2890) ā 23030, and here it is 26297.
- 4
26297 has no twin: neither 26295 nor 26299 is prime.
Primes around the 2890th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2887 | 26263 | 2 |
| 2888 | 26267 | 4 |
| 2889 | 26293 | 26 |
| 2890 | 26297 | 4 |
| 2891 | 26309 | 12 |
| 2892 | 26317 | 8 |
| 2893 | 26321 | 4 |
Questions
What is the 2890th prime number?
26297.
Which prime number is 26297?
26297 is the 2890th prime number.
What is the sum of the first 2890 primes?
35,690,613.