What is the 2464th prime number?
The 2464th prime number is 21997. The next prime is 22003 (a gap of 6) and the one before is 21991.
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 2464th one is 21997.
- 2
21997 is prime because no prime up to ā21997 ā 148.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2464th prime is close to 2464 Ć ln(2464) ā 19243, and here it is 21997.
- 4
21997 has no twin: neither 21995 nor 21999 is prime.
Primes around the 2464th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2461 | 21961 | 18 |
| 2462 | 21977 | 16 |
| 2463 | 21991 | 14 |
| 2464 | 21997 | 6 |
| 2465 | 22003 | 6 |
| 2466 | 22013 | 10 |
| 2467 | 22027 | 14 |
Questions
What is the 2464th prime number?
21997.
Which prime number is 21997?
21997 is the 2464th prime number.
What is the sum of the first 2464 primes?
25,413,565.