What is the 2508th prime number?
The 2508th prime number is 22409. The next prime is 22433 (a gap of 24) and the one before is 22397.
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 2508th one is 22409.
- 2
22409 is prime because no prime up to ā22409 ā 149.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2508th prime is close to 2508 Ć ln(2508) ā 19631, and here it is 22409.
- 4
22409 has no twin: neither 22407 nor 22411 is prime.
Primes around the 2508th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2505 | 22381 | 12 |
| 2506 | 22391 | 10 |
| 2507 | 22397 | 6 |
| 2508 | 22409 | 12 |
| 2509 | 22433 | 24 |
| 2510 | 22441 | 8 |
| 2511 | 22447 | 6 |
Questions
What is the 2508th prime number?
22409.
Which prime number is 22409?
22409 is the 2508th prime number.
What is the sum of the first 2508 primes?
26,390,031.