What is the 2503rd prime number?
The 2503rd prime number is 22367. The next prime is 22369 (a gap of 2) and the one before is 22349.
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 2503rd one is 22367.
- 2
22367 is prime because no prime up to ā22367 ā 149.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2503rd prime is close to 2503 Ć ln(2503) ā 19587, and here it is 22367.
- 4
22367 is a twin prime: 22367 and 22369 are both prime.
Primes around the 2503rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2500 | 22307 | 4 |
| 2501 | 22343 | 36 |
| 2502 | 22349 | 6 |
| 2503 | 22367 | 18 |
| 2504 | 22369 | 2 |
| 2505 | 22381 | 12 |
| 2506 | 22391 | 10 |
Questions
What is the 2503rd prime number?
22367.
Which prime number is 22367?
22367 is the 2503rd prime number.
What is the sum of the first 2503 primes?
26,278,084.