What is the 2823rd prime number?
The 2823rd prime number is 25633. The next prime is 25639 (a gap of 6) and the one before is 25621.
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 2823rd one is 25633.
- 2
25633 is prime because no prime up to ā25633 ā 160.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2823rd prime is close to 2823 Ć ln(2823) ā 22430, and here it is 25633.
- 4
25633 has no twin: neither 25631 nor 25635 is prime.
Primes around the 2823rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2820 | 25603 | 2 |
| 2821 | 25609 | 6 |
| 2822 | 25621 | 12 |
| 2823 | 25633 | 12 |
| 2824 | 25639 | 6 |
| 2825 | 25643 | 4 |
| 2826 | 25657 | 14 |
Questions
What is the 2823rd prime number?
25633.
Which prime number is 25633?
25633 is the 2823rd prime number.
What is the sum of the first 2823 primes?
33,950,544.