What is the 2341st prime number?
The 2341st prime number is 20773. The next prime is 20789 (a gap of 16) and the one before is 20771.
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 2341st one is 20773.
- 2
20773 is prime because no prime up to ā20773 ā 144.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2341st prime is close to 2341 Ć ln(2341) ā 18162, and here it is 20773.
- 4
20773 is a twin prime: 20771 and 20773 are both prime.
Primes around the 2341st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2338 | 20753 | 4 |
| 2339 | 20759 | 6 |
| 2340 | 20771 | 12 |
| 2341 | 20773 | 2 |
| 2342 | 20789 | 16 |
| 2343 | 20807 | 18 |
| 2344 | 20809 | 2 |
Questions
What is the 2341st prime number?
20773.
Which prime number is 20773?
20773 is the 2341st prime number.
What is the sum of the first 2341 primes?
22,781,720.