What is the 2800th prime number?
The 2800th prime number is 25391. The next prime is 25409 (a gap of 18) and the one before is 25373.
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 2800th one is 25391.
- 2
25391 is prime because no prime up to ā25391 ā 159.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2800th prime is close to 2800 Ć ln(2800) ā 22225, and here it is 25391.
- 4
25391 has no twin: neither 25389 nor 25393 is prime.
Primes around the 2800th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2797 | 25357 | 8 |
| 2798 | 25367 | 10 |
| 2799 | 25373 | 6 |
| 2800 | 25391 | 18 |
| 2801 | 25409 | 18 |
| 2802 | 25411 | 2 |
| 2803 | 25423 | 12 |
Questions
What is the 2800th prime number?
25391.
Which prime number is 25391?
25391 is the 2800th prime number.
What is the sum of the first 2800 primes?
33,363,545.