What is the 2822nd prime number?
The 2822nd prime number is 25621. The next prime is 25633 (a gap of 12) and the one before is 25609.
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 2822nd one is 25621.
- 2
25621 is prime because no prime up to ā25621 ā 160.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2822nd prime is close to 2822 Ć ln(2822) ā 22421, and here it is 25621.
- 4
25621 has no twin: neither 25619 nor 25623 is prime.
Primes around the 2822nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2819 | 25601 | 12 |
| 2820 | 25603 | 2 |
| 2821 | 25609 | 6 |
| 2822 | 25621 | 12 |
| 2823 | 25633 | 12 |
| 2824 | 25639 | 6 |
| 2825 | 25643 | 4 |
Questions
What is the 2822nd prime number?
25621.
Which prime number is 25621?
25621 is the 2822nd prime number.
What is the sum of the first 2822 primes?
33,924,911.