What is the 2319th prime number?
The 2319th prime number is 20549. The next prime is 20551 (a gap of 2) and the one before is 20543.
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 2319th one is 20549.
- 2
20549 is prime because no prime up to ā20549 ā 143.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2319th prime is close to 2319 Ć ln(2319) ā 17970, and here it is 20549.
- 4
20549 is a twin prime: 20549 and 20551 are both prime.
Primes around the 2319th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2316 | 20521 | 12 |
| 2317 | 20533 | 12 |
| 2318 | 20543 | 10 |
| 2319 | 20549 | 6 |
| 2320 | 20551 | 2 |
| 2321 | 20563 | 12 |
| 2322 | 20593 | 30 |
Questions
What is the 2319th prime number?
20549.
Which prime number is 20549?
20549 is the 2319th prime number.
What is the sum of the first 2319 primes?
22,326,690.