What is the 2899th prime number?
The 2899th prime number is 26393. The next prime is 26399 (a gap of 6) and the one before is 26387.
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 2899th one is 26393.
- 2
26393 is prime because no prime up to ā26393 ā 162.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2899th prime is close to 2899 Ć ln(2899) ā 23111, and here it is 26393.
- 4
26393 has no twin: neither 26391 nor 26395 is prime.
Primes around the 2899th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2896 | 26357 | 10 |
| 2897 | 26371 | 14 |
| 2898 | 26387 | 16 |
| 2899 | 26393 | 6 |
| 2900 | 26399 | 6 |
| 2901 | 26407 | 8 |
| 2902 | 26417 | 10 |
Questions
What is the 2899th prime number?
26393.
Which prime number is 26393?
26393 is the 2899th prime number.
What is the sum of the first 2899 primes?
35,927,754.