What is the 2336th prime number?
The 2336th prime number is 20747. The next prime is 20749 (a gap of 2) and the one before is 20743.
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 2336th one is 20747.
- 2
20747 is prime because no prime up to ā20747 ā 144.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2336th prime is close to 2336 Ć ln(2336) ā 18118, and here it is 20747.
- 4
20747 is a twin prime: 20747 and 20749 are both prime.
Primes around the 2336th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2333 | 20719 | 2 |
| 2334 | 20731 | 12 |
| 2335 | 20743 | 12 |
| 2336 | 20747 | 4 |
| 2337 | 20749 | 2 |
| 2338 | 20753 | 4 |
| 2339 | 20759 | 6 |
Questions
What is the 2336th prime number?
20747.
Which prime number is 20747?
20747 is the 2336th prime number.
What is the sum of the first 2336 primes?
22,677,915.