What is the 2801st prime number?
The 2801st prime number is 25409. The next prime is 25411 (a gap of 2) and the one before is 25391.
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 2801st one is 25409.
- 2
25409 is prime because no prime up to ā25409 ā 159.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2801st prime is close to 2801 Ć ln(2801) ā 22234, and here it is 25409.
- 4
25409 is a twin prime: 25409 and 25411 are both prime.
Primes around the 2801st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2798 | 25367 | 10 |
| 2799 | 25373 | 6 |
| 2800 | 25391 | 18 |
| 2801 | 25409 | 18 |
| 2802 | 25411 | 2 |
| 2803 | 25423 | 12 |
| 2804 | 25439 | 16 |
Questions
What is the 2801st prime number?
25409.
Which prime number is 25409?
25409 is the 2801st prime number.
What is the sum of the first 2801 primes?
33,388,954.