What is the 2315th prime number?
The 2315th prime number is 20509. The next prime is 20521 (a gap of 12) and the one before is 20507.
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 2315th one is 20509.
- 2
20509 is prime because no prime up to ā20509 ā 143.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2315th prime is close to 2315 Ć ln(2315) ā 17935, and here it is 20509.
- 4
20509 is a twin prime: 20507 and 20509 are both prime.
Primes around the 2315th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2312 | 20479 | 2 |
| 2313 | 20483 | 4 |
| 2314 | 20507 | 24 |
| 2315 | 20509 | 2 |
| 2316 | 20521 | 12 |
| 2317 | 20533 | 12 |
| 2318 | 20543 | 10 |
Questions
What is the 2315th prime number?
20509.
Which prime number is 20509?
20509 is the 2315th prime number.
What is the sum of the first 2315 primes?
22,244,544.