What is the 2809th prime number?
The 2809th prime number is 25469. The next prime is 25471 (a gap of 2) and the one before is 25463.
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 2809th one is 25469.
- 2
25469 is prime because no prime up to ā25469 ā 159.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2809th prime is close to 2809 Ć ln(2809) ā 22305, and here it is 25469.
- 4
25469 is a twin prime: 25469 and 25471 are both prime.
Primes around the 2809th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2806 | 25453 | 6 |
| 2807 | 25457 | 4 |
| 2808 | 25463 | 6 |
| 2809 | 25469 | 6 |
| 2810 | 25471 | 2 |
| 2811 | 25523 | 52 |
| 2812 | 25537 | 14 |
Questions
What is the 2809th prime number?
25469.
Which prime number is 25469?
25469 is the 2809th prime number.
What is the sum of the first 2809 primes?
33,592,516.