What is the 2338th prime number?
The 2338th prime number is 20753. The next prime is 20759 (a gap of 6) and the one before is 20749.
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 2338th one is 20753.
- 2
20753 is prime because no prime up to ā20753 ā 144.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2338th prime is close to 2338 Ć ln(2338) ā 18136, and here it is 20753.
- 4
20753 has no twin: neither 20751 nor 20755 is prime.
Primes around the 2338th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2335 | 20743 | 12 |
| 2336 | 20747 | 4 |
| 2337 | 20749 | 2 |
| 2338 | 20753 | 4 |
| 2339 | 20759 | 6 |
| 2340 | 20771 | 12 |
| 2341 | 20773 | 2 |
Questions
What is the 2338th prime number?
20753.
Which prime number is 20753?
20753 is the 2338th prime number.
What is the sum of the first 2338 primes?
22,719,417.