What is the 2335th prime number?
The 2335th prime number is 20743. The next prime is 20747 (a gap of 4) and the one before is 20731.
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 2335th one is 20743.
- 2
20743 is prime because no prime up to ā20743 ā 144.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2335th prime is close to 2335 Ć ln(2335) ā 18110, and here it is 20743.
- 4
20743 has no twin: neither 20741 nor 20745 is prime.
Primes around the 2335th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2332 | 20717 | 10 |
| 2333 | 20719 | 2 |
| 2334 | 20731 | 12 |
| 2335 | 20743 | 12 |
| 2336 | 20747 | 4 |
| 2337 | 20749 | 2 |
| 2338 | 20753 | 4 |
Questions
What is the 2335th prime number?
20743.
Which prime number is 20743?
20743 is the 2335th prime number.
What is the sum of the first 2335 primes?
22,657,168.