What is the 2504th prime number?
The 2504th prime number is 22369. The next prime is 22381 (a gap of 12) and the one before is 22367.
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 2504th one is 22369.
- 2
22369 is prime because no prime up to ā22369 ā 149.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2504th prime is close to 2504 Ć ln(2504) ā 19595, and here it is 22369.
- 4
22369 is a twin prime: 22367 and 22369 are both prime.
Primes around the 2504th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2501 | 22343 | 36 |
| 2502 | 22349 | 6 |
| 2503 | 22367 | 18 |
| 2504 | 22369 | 2 |
| 2505 | 22381 | 12 |
| 2506 | 22391 | 10 |
| 2507 | 22397 | 6 |
Questions
What is the 2504th prime number?
22369.
Which prime number is 22369?
22369 is the 2504th prime number.
What is the sum of the first 2504 primes?
26,300,453.