What is the 2501st prime number?
The 2501st prime number is 22343. The next prime is 22349 (a gap of 6) and the one before is 22307.
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 2501st one is 22343.
- 2
22343 is prime because no prime up to ā22343 ā 149.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2501st prime is close to 2501 Ć ln(2501) ā 19569, and here it is 22343.
- 4
22343 has no twin: neither 22341 nor 22345 is prime.
Primes around the 2501st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2498 | 22291 | 8 |
| 2499 | 22303 | 12 |
| 2500 | 22307 | 4 |
| 2501 | 22343 | 36 |
| 2502 | 22349 | 6 |
| 2503 | 22367 | 18 |
| 2504 | 22369 | 2 |
Questions
What is the 2501st prime number?
22343.
Which prime number is 22343?
22343 is the 2501st prime number.
What is the sum of the first 2501 primes?
26,233,368.