What is the 2821st prime number?
The 2821st prime number is 25609. The next prime is 25621 (a gap of 12) and the one before is 25603.
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 2821st one is 25609.
- 2
25609 is prime because no prime up to ā25609 ā 160.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2821st prime is close to 2821 Ć ln(2821) ā 22412, and here it is 25609.
- 4
25609 has no twin: neither 25607 nor 25611 is prime.
Primes around the 2821st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2818 | 25589 | 6 |
| 2819 | 25601 | 12 |
| 2820 | 25603 | 2 |
| 2821 | 25609 | 6 |
| 2822 | 25621 | 12 |
| 2823 | 25633 | 12 |
| 2824 | 25639 | 6 |
Questions
What is the 2821st prime number?
25609.
Which prime number is 25609?
25609 is the 2821st prime number.
What is the sum of the first 2821 primes?
33,899,290.