What is the 2318th prime number?
The 2318th prime number is 20543. The next prime is 20549 (a gap of 6) and the one before is 20533.
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 2318th one is 20543.
- 2
20543 is prime because no prime up to ā20543 ā 143.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2318th prime is close to 2318 Ć ln(2318) ā 17961, and here it is 20543.
- 4
20543 has no twin: neither 20541 nor 20545 is prime.
Primes around the 2318th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2315 | 20509 | 2 |
| 2316 | 20521 | 12 |
| 2317 | 20533 | 12 |
| 2318 | 20543 | 10 |
| 2319 | 20549 | 6 |
| 2320 | 20551 | 2 |
| 2321 | 20563 | 12 |
Questions
What is the 2318th prime number?
20543.
Which prime number is 20543?
20543 is the 2318th prime number.
What is the sum of the first 2318 primes?
22,306,141.