What is the 2557th prime number?
The 2557th prime number is 22907. The next prime is 22921 (a gap of 14) and the one before is 22901.
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 2557th one is 22907.
- 2
22907 is prime because no prime up to ā22907 ā 151.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2557th prime is close to 2557 Ć ln(2557) ā 20064, and here it is 22907.
- 4
22907 has no twin: neither 22905 nor 22909 is prime.
Primes around the 2557th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2554 | 22871 | 10 |
| 2555 | 22877 | 6 |
| 2556 | 22901 | 24 |
| 2557 | 22907 | 6 |
| 2558 | 22921 | 14 |
| 2559 | 22937 | 16 |
| 2560 | 22943 | 6 |
Questions
What is the 2557th prime number?
22907.
Which prime number is 22907?
22907 is the 2557th prime number.
What is the sum of the first 2557 primes?
27,500,768.