What is the 2813th prime number?
The 2813th prime number is 25541. The next prime is 25561 (a gap of 20) and the one before is 25537.
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 2813th one is 25541.
- 2
25541 is prime because no prime up to ā25541 ā 159.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2813th prime is close to 2813 Ć ln(2813) ā 22341, and here it is 25541.
- 4
25541 has no twin: neither 25539 nor 25543 is prime.
Primes around the 2813th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2810 | 25471 | 2 |
| 2811 | 25523 | 52 |
| 2812 | 25537 | 14 |
| 2813 | 25541 | 4 |
| 2814 | 25561 | 20 |
| 2815 | 25577 | 16 |
| 2816 | 25579 | 2 |
Questions
What is the 2813th prime number?
25541.
Which prime number is 25541?
25541 is the 2813th prime number.
What is the sum of the first 2813 primes?
33,694,588.