What is the 2804th prime number?
The 2804th prime number is 25439. The next prime is 25447 (a gap of 8) and the one before is 25423.
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 2804th one is 25439.
- 2
25439 is prime because no prime up to ā25439 ā 159.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2804th prime is close to 2804 Ć ln(2804) ā 22260, and here it is 25439.
- 4
25439 has no twin: neither 25437 nor 25441 is prime.
Primes around the 2804th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2801 | 25409 | 18 |
| 2802 | 25411 | 2 |
| 2803 | 25423 | 12 |
| 2804 | 25439 | 16 |
| 2805 | 25447 | 8 |
| 2806 | 25453 | 6 |
| 2807 | 25457 | 4 |
Questions
What is the 2804th prime number?
25439.
Which prime number is 25439?
25439 is the 2804th prime number.
What is the sum of the first 2804 primes?
33,465,227.