What is the 2898th prime number?
The 2898th prime number is 26387. The next prime is 26393 (a gap of 6) and the one before is 26371.
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 2898th one is 26387.
- 2
26387 is prime because no prime up to ā26387 ā 162.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2898th prime is close to 2898 Ć ln(2898) ā 23102, and here it is 26387.
- 4
26387 has no twin: neither 26385 nor 26389 is prime.
Primes around the 2898th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2895 | 26347 | 8 |
| 2896 | 26357 | 10 |
| 2897 | 26371 | 14 |
| 2898 | 26387 | 16 |
| 2899 | 26393 | 6 |
| 2900 | 26399 | 6 |
| 2901 | 26407 | 8 |
Questions
What is the 2898th prime number?
26387.
Which prime number is 26387?
26387 is the 2898th prime number.
What is the sum of the first 2898 primes?
35,901,361.