What is the 2897th prime number?
The 2897th prime number is 26371. The next prime is 26387 (a gap of 16) and the one before is 26357.
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 2897th one is 26371.
- 2
26371 is prime because no prime up to ā26371 ā 162.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2897th prime is close to 2897 Ć ln(2897) ā 23093, and here it is 26371.
- 4
26371 has no twin: neither 26369 nor 26373 is prime.
Primes around the 2897th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2894 | 26339 | 18 |
| 2895 | 26347 | 8 |
| 2896 | 26357 | 10 |
| 2897 | 26371 | 14 |
| 2898 | 26387 | 16 |
| 2899 | 26393 | 6 |
| 2900 | 26399 | 6 |
Questions
What is the 2897th prime number?
26371.
Which prime number is 26371?
26371 is the 2897th prime number.
What is the sum of the first 2897 primes?
35,874,974.