What is the 2812th prime number?
The 2812th prime number is 25537. The next prime is 25541 (a gap of 4) and the one before is 25523.
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 2812th one is 25537.
- 2
25537 is prime because no prime up to ā25537 ā 159.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2812th prime is close to 2812 Ć ln(2812) ā 22332, and here it is 25537.
- 4
25537 has no twin: neither 25535 nor 25539 is prime.
Primes around the 2812th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2809 | 25469 | 6 |
| 2810 | 25471 | 2 |
| 2811 | 25523 | 52 |
| 2812 | 25537 | 14 |
| 2813 | 25541 | 4 |
| 2814 | 25561 | 20 |
| 2815 | 25577 | 16 |
Questions
What is the 2812th prime number?
25537.
Which prime number is 25537?
25537 is the 2812th prime number.
What is the sum of the first 2812 primes?
33,669,047.