What is the 2458th prime number?
The 2458th prime number is 21929. The next prime is 21937 (a gap of 8) and the one before is 21911.
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 2458th one is 21929.
- 2
21929 is prime because no prime up to ā21929 ā 148.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2458th prime is close to 2458 Ć ln(2458) ā 19190, and here it is 21929.
- 4
21929 has no twin: neither 21927 nor 21931 is prime.
Primes around the 2458th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2455 | 21881 | 10 |
| 2456 | 21893 | 12 |
| 2457 | 21911 | 18 |
| 2458 | 21929 | 18 |
| 2459 | 21937 | 8 |
| 2460 | 21943 | 6 |
| 2461 | 21961 | 18 |
Questions
What is the 2458th prime number?
21929.
Which prime number is 21929?
21929 is the 2458th prime number.
What is the sum of the first 2458 primes?
25,281,759.