What is the 2900th prime number?
The 2900th prime number is 26399. The next prime is 26407 (a gap of 8) and the one before is 26393.
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 2900th one is 26399.
- 2
26399 is prime because no prime up to ā26399 ā 162.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2900th prime is close to 2900 Ć ln(2900) ā 23120, and here it is 26399.
- 4
26399 has no twin: neither 26397 nor 26401 is prime.
Primes around the 2900th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2897 | 26371 | 14 |
| 2898 | 26387 | 16 |
| 2899 | 26393 | 6 |
| 2900 | 26399 | 6 |
| 2901 | 26407 | 8 |
| 2902 | 26417 | 10 |
| 2903 | 26423 | 6 |
Questions
What is the 2900th prime number?
26399.
Which prime number is 26399?
26399 is the 2900th prime number.
What is the sum of the first 2900 primes?
35,954,153.