What is the 2815th prime number?
The 2815th prime number is 25577. The next prime is 25579 (a gap of 2) and the one before is 25561.
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 2815th one is 25577.
- 2
25577 is prime because no prime up to ā25577 ā 159.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2815th prime is close to 2815 Ć ln(2815) ā 22359, and here it is 25577.
- 4
25577 is a twin prime: 25577 and 25579 are both prime.
Primes around the 2815th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2812 | 25537 | 14 |
| 2813 | 25541 | 4 |
| 2814 | 25561 | 20 |
| 2815 | 25577 | 16 |
| 2816 | 25579 | 2 |
| 2817 | 25583 | 4 |
| 2818 | 25589 | 6 |
Questions
What is the 2815th prime number?
25577.
Which prime number is 25577?
25577 is the 2815th prime number.
What is the sum of the first 2815 primes?
33,745,726.