What is the 2805th prime number?
The 2805th prime number is 25447. The next prime is 25453 (a gap of 6) and the one before is 25439.
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 2805th one is 25447.
- 2
25447 is prime because no prime up to ā25447 ā 159.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2805th prime is close to 2805 Ć ln(2805) ā 22269, and here it is 25447.
- 4
25447 has no twin: neither 25445 nor 25449 is prime.
Primes around the 2805th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2802 | 25411 | 2 |
| 2803 | 25423 | 12 |
| 2804 | 25439 | 16 |
| 2805 | 25447 | 8 |
| 2806 | 25453 | 6 |
| 2807 | 25457 | 4 |
| 2808 | 25463 | 6 |
Questions
What is the 2805th prime number?
25447.
Which prime number is 25447?
25447 is the 2805th prime number.
What is the sum of the first 2805 primes?
33,490,674.