What is the 2556th prime number?
The 2556th prime number is 22901. The next prime is 22907 (a gap of 6) and the one before is 22877.
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 2556th one is 22901.
- 2
22901 is prime because no prime up to ā22901 ā 151.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2556th prime is close to 2556 Ć ln(2556) ā 20055, and here it is 22901.
- 4
22901 has no twin: neither 22899 nor 22903 is prime.
Primes around the 2556th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2553 | 22861 | 2 |
| 2554 | 22871 | 10 |
| 2555 | 22877 | 6 |
| 2556 | 22901 | 24 |
| 2557 | 22907 | 6 |
| 2558 | 22921 | 14 |
| 2559 | 22937 | 16 |
Questions
What is the 2556th prime number?
22901.
Which prime number is 22901?
22901 is the 2556th prime number.
What is the sum of the first 2556 primes?
27,477,861.