What is the 2506th prime number?
The 2506th prime number is 22391. The next prime is 22397 (a gap of 6) and the one before is 22381.
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 2506th one is 22391.
- 2
22391 is prime because no prime up to ā22391 ā 149.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2506th prime is close to 2506 Ć ln(2506) ā 19613, and here it is 22391.
- 4
22391 has no twin: neither 22389 nor 22393 is prime.
Primes around the 2506th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2503 | 22367 | 18 |
| 2504 | 22369 | 2 |
| 2505 | 22381 | 12 |
| 2506 | 22391 | 10 |
| 2507 | 22397 | 6 |
| 2508 | 22409 | 12 |
| 2509 | 22433 | 24 |
Questions
What is the 2506th prime number?
22391.
Which prime number is 22391?
22391 is the 2506th prime number.
What is the sum of the first 2506 primes?
26,345,225.