What is the 2507th prime number?
The 2507th prime number is 22397. The next prime is 22409 (a gap of 12) and the one before is 22391.
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 2507th one is 22397.
- 2
22397 is prime because no prime up to ā22397 ā 149.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2507th prime is close to 2507 Ć ln(2507) ā 19622, and here it is 22397.
- 4
22397 has no twin: neither 22395 nor 22399 is prime.
Primes around the 2507th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2504 | 22369 | 2 |
| 2505 | 22381 | 12 |
| 2506 | 22391 | 10 |
| 2507 | 22397 | 6 |
| 2508 | 22409 | 12 |
| 2509 | 22433 | 24 |
| 2510 | 22441 | 8 |
Questions
What is the 2507th prime number?
22397.
Which prime number is 22397?
22397 is the 2507th prime number.
What is the sum of the first 2507 primes?
26,367,622.