What is the 2459th prime number?
The 2459th prime number is 21937. The next prime is 21943 (a gap of 6) and the one before is 21929.
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 2459th one is 21937.
- 2
21937 is prime because no prime up to ā21937 ā 148.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2459th prime is close to 2459 Ć ln(2459) ā 19199, and here it is 21937.
- 4
21937 has no twin: neither 21935 nor 21939 is prime.
Primes around the 2459th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2456 | 21893 | 12 |
| 2457 | 21911 | 18 |
| 2458 | 21929 | 18 |
| 2459 | 21937 | 8 |
| 2460 | 21943 | 6 |
| 2461 | 21961 | 18 |
| 2462 | 21977 | 16 |
Questions
What is the 2459th prime number?
21937.
Which prime number is 21937?
21937 is the 2459th prime number.
What is the sum of the first 2459 primes?
25,303,696.