What is the 2552nd prime number?
The 2552nd prime number is 22859. The next prime is 22861 (a gap of 2) and the one before is 22853.
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 2552nd one is 22859.
- 2
22859 is prime because no prime up to ā22859 ā 151.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2552nd prime is close to 2552 Ć ln(2552) ā 20020, and here it is 22859.
- 4
22859 is a twin prime: 22859 and 22861 are both prime.
Primes around the 2552nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2549 | 22811 | 4 |
| 2550 | 22817 | 6 |
| 2551 | 22853 | 36 |
| 2552 | 22859 | 6 |
| 2553 | 22861 | 2 |
| 2554 | 22871 | 10 |
| 2555 | 22877 | 6 |
Questions
What is the 2552nd prime number?
22859.
Which prime number is 22859?
22859 is the 2552nd prime number.
What is the sum of the first 2552 primes?
27,386,351.