What is the 2810th prime number?
The 2810th prime number is 25471. The next prime is 25523 (a gap of 52) and the one before is 25469.
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 2810th one is 25471.
- 2
25471 is prime because no prime up to ā25471 ā 159.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2810th prime is close to 2810 Ć ln(2810) ā 22314, and here it is 25471.
- 4
25471 is a twin prime: 25469 and 25471 are both prime.
Primes around the 2810th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2807 | 25457 | 4 |
| 2808 | 25463 | 6 |
| 2809 | 25469 | 6 |
| 2810 | 25471 | 2 |
| 2811 | 25523 | 52 |
| 2812 | 25537 | 14 |
| 2813 | 25541 | 4 |
Questions
What is the 2810th prime number?
25471.
Which prime number is 25471?
25471 is the 2810th prime number.
What is the sum of the first 2810 primes?
33,617,987.