What is the 2555th prime number?
The 2555th prime number is 22877. The next prime is 22901 (a gap of 24) and the one before is 22871.
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 2555th one is 22877.
- 2
22877 is prime because no prime up to ā22877 ā 151.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2555th prime is close to 2555 Ć ln(2555) ā 20046, and here it is 22877.
- 4
22877 has no twin: neither 22875 nor 22879 is prime.
Primes around the 2555th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2552 | 22859 | 6 |
| 2553 | 22861 | 2 |
| 2554 | 22871 | 10 |
| 2555 | 22877 | 6 |
| 2556 | 22901 | 24 |
| 2557 | 22907 | 6 |
| 2558 | 22921 | 14 |
Questions
What is the 2555th prime number?
22877.
Which prime number is 22877?
22877 is the 2555th prime number.
What is the sum of the first 2555 primes?
27,454,960.