What is the 2816th prime number?
The 2816th prime number is 25579. The next prime is 25583 (a gap of 4) and the one before is 25577.
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 2816th one is 25579.
- 2
25579 is prime because no prime up to ā25579 ā 159.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2816th prime is close to 2816 Ć ln(2816) ā 22368, and here it is 25579.
- 4
25579 is a twin prime: 25577 and 25579 are both prime.
Primes around the 2816th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2813 | 25541 | 4 |
| 2814 | 25561 | 20 |
| 2815 | 25577 | 16 |
| 2816 | 25579 | 2 |
| 2817 | 25583 | 4 |
| 2818 | 25589 | 6 |
| 2819 | 25601 | 12 |
Questions
What is the 2816th prime number?
25579.
Which prime number is 25579?
25579 is the 2816th prime number.
What is the sum of the first 2816 primes?
33,771,305.