What is the 2820th prime number?
The 2820th prime number is 25603. The next prime is 25609 (a gap of 6) and the one before is 25601.
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 2820th one is 25603.
- 2
25603 is prime because no prime up to ā25603 ā 160.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2820th prime is close to 2820 Ć ln(2820) ā 22403, and here it is 25603.
- 4
25603 is a twin prime: 25601 and 25603 are both prime.
Primes around the 2820th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2817 | 25583 | 4 |
| 2818 | 25589 | 6 |
| 2819 | 25601 | 12 |
| 2820 | 25603 | 2 |
| 2821 | 25609 | 6 |
| 2822 | 25621 | 12 |
| 2823 | 25633 | 12 |
Questions
What is the 2820th prime number?
25603.
Which prime number is 25603?
25603 is the 2820th prime number.
What is the sum of the first 2820 primes?
33,873,681.