What is the 2505th prime number?
The 2505th prime number is 22381. The next prime is 22391 (a gap of 10) and the one before is 22369.
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 2505th one is 22381.
- 2
22381 is prime because no prime up to ā22381 ā 149.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2505th prime is close to 2505 Ć ln(2505) ā 19604, and here it is 22381.
- 4
22381 has no twin: neither 22379 nor 22383 is prime.
Primes around the 2505th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2502 | 22349 | 6 |
| 2503 | 22367 | 18 |
| 2504 | 22369 | 2 |
| 2505 | 22381 | 12 |
| 2506 | 22391 | 10 |
| 2507 | 22397 | 6 |
| 2508 | 22409 | 12 |
Questions
What is the 2505th prime number?
22381.
Which prime number is 22381?
22381 is the 2505th prime number.
What is the sum of the first 2505 primes?
26,322,834.