What is the 2558th prime number?
The 2558th prime number is 22921. The next prime is 22937 (a gap of 16) and the one before is 22907.
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 2558th one is 22921.
- 2
22921 is prime because no prime up to ā22921 ā 151.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2558th prime is close to 2558 Ć ln(2558) ā 20073, and here it is 22921.
- 4
22921 has no twin: neither 22919 nor 22923 is prime.
Primes around the 2558th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2555 | 22877 | 6 |
| 2556 | 22901 | 24 |
| 2557 | 22907 | 6 |
| 2558 | 22921 | 14 |
| 2559 | 22937 | 16 |
| 2560 | 22943 | 6 |
| 2561 | 22961 | 18 |
Questions
What is the 2558th prime number?
22921.
Which prime number is 22921?
22921 is the 2558th prime number.
What is the sum of the first 2558 primes?
27,523,689.