What is the 2465th prime number?
The 2465th prime number is 22003. The next prime is 22013 (a gap of 10) and the one before is 21997.
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 2465th one is 22003.
- 2
22003 is prime because no prime up to ā22003 ā 148.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2465th prime is close to 2465 Ć ln(2465) ā 19252, and here it is 22003.
- 4
22003 has no twin: neither 22001 nor 22005 is prime.
Primes around the 2465th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2462 | 21977 | 16 |
| 2463 | 21991 | 14 |
| 2464 | 21997 | 6 |
| 2465 | 22003 | 6 |
| 2466 | 22013 | 10 |
| 2467 | 22027 | 14 |
| 2468 | 22031 | 4 |
Questions
What is the 2465th prime number?
22003.
Which prime number is 22003?
22003 is the 2465th prime number.
What is the sum of the first 2465 primes?
25,435,568.