What is the 2509th prime number?
The 2509th prime number is 22433. The next prime is 22441 (a gap of 8) and the one before is 22409.
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 2509th one is 22433.
- 2
22433 is prime because no prime up to ā22433 ā 149.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2509th prime is close to 2509 Ć ln(2509) ā 19640, and here it is 22433.
- 4
22433 has no twin: neither 22431 nor 22435 is prime.
Primes around the 2509th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2506 | 22391 | 10 |
| 2507 | 22397 | 6 |
| 2508 | 22409 | 12 |
| 2509 | 22433 | 24 |
| 2510 | 22441 | 8 |
| 2511 | 22447 | 6 |
| 2512 | 22453 | 6 |
Questions
What is the 2509th prime number?
22433.
Which prime number is 22433?
22433 is the 2509th prime number.
What is the sum of the first 2509 primes?
26,412,464.