What is the 2460th prime number?
The 2460th prime number is 21943. The next prime is 21961 (a gap of 18) and the one before is 21937.
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 2460th one is 21943.
- 2
21943 is prime because no prime up to ā21943 ā 148.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2460th prime is close to 2460 Ć ln(2460) ā 19207, and here it is 21943.
- 4
21943 has no twin: neither 21941 nor 21945 is prime.
Primes around the 2460th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2457 | 21911 | 18 |
| 2458 | 21929 | 18 |
| 2459 | 21937 | 8 |
| 2460 | 21943 | 6 |
| 2461 | 21961 | 18 |
| 2462 | 21977 | 16 |
| 2463 | 21991 | 14 |
Questions
What is the 2460th prime number?
21943.
Which prime number is 21943?
21943 is the 2460th prime number.
What is the sum of the first 2460 primes?
25,325,639.