What is the 2817th prime number?
The 2817th prime number is 25583. The next prime is 25589 (a gap of 6) and the one before is 25579.
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 2817th one is 25583.
- 2
25583 is prime because no prime up to ā25583 ā 159.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2817th prime is close to 2817 Ć ln(2817) ā 22377, and here it is 25583.
- 4
25583 has no twin: neither 25581 nor 25585 is prime.
Primes around the 2817th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2814 | 25561 | 20 |
| 2815 | 25577 | 16 |
| 2816 | 25579 | 2 |
| 2817 | 25583 | 4 |
| 2818 | 25589 | 6 |
| 2819 | 25601 | 12 |
| 2820 | 25603 | 2 |
Questions
What is the 2817th prime number?
25583.
Which prime number is 25583?
25583 is the 2817th prime number.
What is the sum of the first 2817 primes?
33,796,888.