What is the 2316th prime number?
The 2316th prime number is 20521. The next prime is 20533 (a gap of 12) and the one before is 20509.
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 2316th one is 20521.
- 2
20521 is prime because no prime up to ā20521 ā 143.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2316th prime is close to 2316 Ć ln(2316) ā 17943, and here it is 20521.
- 4
20521 has no twin: neither 20519 nor 20523 is prime.
Primes around the 2316th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2313 | 20483 | 4 |
| 2314 | 20507 | 24 |
| 2315 | 20509 | 2 |
| 2316 | 20521 | 12 |
| 2317 | 20533 | 12 |
| 2318 | 20543 | 10 |
| 2319 | 20549 | 6 |
Questions
What is the 2316th prime number?
20521.
Which prime number is 20521?
20521 is the 2316th prime number.
What is the sum of the first 2316 primes?
22,265,065.