What is the 2457th prime number?
The 2457th prime number is 21911. The next prime is 21929 (a gap of 18) and the one before is 21893.
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 2457th one is 21911.
- 2
21911 is prime because no prime up to ā21911 ā 148.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2457th prime is close to 2457 Ć ln(2457) ā 19181, and here it is 21911.
- 4
21911 has no twin: neither 21909 nor 21913 is prime.
Primes around the 2457th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2454 | 21871 | 8 |
| 2455 | 21881 | 10 |
| 2456 | 21893 | 12 |
| 2457 | 21911 | 18 |
| 2458 | 21929 | 18 |
| 2459 | 21937 | 8 |
| 2460 | 21943 | 6 |
Questions
What is the 2457th prime number?
21911.
Which prime number is 21911?
21911 is the 2457th prime number.
What is the sum of the first 2457 primes?
25,259,830.