What is the 2553rd prime number?
The 2553rd prime number is 22861. The next prime is 22871 (a gap of 10) and the one before is 22859.
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 2553rd one is 22861.
- 2
22861 is prime because no prime up to ā22861 ā 151.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2553rd prime is close to 2553 Ć ln(2553) ā 20028, and here it is 22861.
- 4
22861 is a twin prime: 22859 and 22861 are both prime.
Primes around the 2553rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2550 | 22817 | 6 |
| 2551 | 22853 | 36 |
| 2552 | 22859 | 6 |
| 2553 | 22861 | 2 |
| 2554 | 22871 | 10 |
| 2555 | 22877 | 6 |
| 2556 | 22901 | 24 |
Questions
What is the 2553rd prime number?
22861.
Which prime number is 22861?
22861 is the 2553rd prime number.
What is the sum of the first 2553 primes?
27,409,212.