What is the 2314th prime number?
The 2314th prime number is 20507. The next prime is 20509 (a gap of 2) and the one before is 20483.
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 2314th one is 20507.
- 2
20507 is prime because no prime up to ā20507 ā 143.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2314th prime is close to 2314 Ć ln(2314) ā 17926, and here it is 20507.
- 4
20507 is a twin prime: 20507 and 20509 are both prime.
Primes around the 2314th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2311 | 20477 | 34 |
| 2312 | 20479 | 2 |
| 2313 | 20483 | 4 |
| 2314 | 20507 | 24 |
| 2315 | 20509 | 2 |
| 2316 | 20521 | 12 |
| 2317 | 20533 | 12 |
Questions
What is the 2314th prime number?
20507.
Which prime number is 20507?
20507 is the 2314th prime number.
What is the sum of the first 2314 primes?
22,224,035.