What is the 2807th prime number?
The 2807th prime number is 25457. The next prime is 25463 (a gap of 6) and the one before is 25453.
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 2807th one is 25457.
- 2
25457 is prime because no prime up to ā25457 ā 159.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2807th prime is close to 2807 Ć ln(2807) ā 22287, and here it is 25457.
- 4
25457 has no twin: neither 25455 nor 25459 is prime.
Primes around the 2807th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2804 | 25439 | 16 |
| 2805 | 25447 | 8 |
| 2806 | 25453 | 6 |
| 2807 | 25457 | 4 |
| 2808 | 25463 | 6 |
| 2809 | 25469 | 6 |
| 2810 | 25471 | 2 |
Questions
What is the 2807th prime number?
25457.
Which prime number is 25457?
25457 is the 2807th prime number.
What is the sum of the first 2807 primes?
33,541,584.