What is the 2502nd prime number?
The 2502nd prime number is 22349. The next prime is 22367 (a gap of 18) and the one before is 22343.
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 2502nd one is 22349.
- 2
22349 is prime because no prime up to ā22349 ā 149.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2502nd prime is close to 2502 Ć ln(2502) ā 19578, and here it is 22349.
- 4
22349 has no twin: neither 22347 nor 22351 is prime.
Primes around the 2502nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2499 | 22303 | 12 |
| 2500 | 22307 | 4 |
| 2501 | 22343 | 36 |
| 2502 | 22349 | 6 |
| 2503 | 22367 | 18 |
| 2504 | 22369 | 2 |
| 2505 | 22381 | 12 |
Questions
What is the 2502nd prime number?
22349.
Which prime number is 22349?
22349 is the 2502nd prime number.
What is the sum of the first 2502 primes?
26,255,717.