What is the 2320th prime number?
The 2320th prime number is 20551. The next prime is 20563 (a gap of 12) and the one before is 20549.
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 2320th one is 20551.
- 2
20551 is prime because no prime up to ā20551 ā 143.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2320th prime is close to 2320 Ć ln(2320) ā 17978, and here it is 20551.
- 4
20551 is a twin prime: 20549 and 20551 are both prime.
Primes around the 2320th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2317 | 20533 | 12 |
| 2318 | 20543 | 10 |
| 2319 | 20549 | 6 |
| 2320 | 20551 | 2 |
| 2321 | 20563 | 12 |
| 2322 | 20593 | 30 |
| 2323 | 20599 | 6 |
Questions
What is the 2320th prime number?
20551.
Which prime number is 20551?
20551 is the 2320th prime number.
What is the sum of the first 2320 primes?
22,347,241.