What is the 2342nd prime number?
The 2342nd prime number is 20789. The next prime is 20807 (a gap of 18) and the one before is 20773.
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 2342nd one is 20789.
- 2
20789 is prime because no prime up to ā20789 ā 144.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2342nd prime is close to 2342 Ć ln(2342) ā 18171, and here it is 20789.
- 4
20789 has no twin: neither 20787 nor 20791 is prime.
Primes around the 2342nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2339 | 20759 | 6 |
| 2340 | 20771 | 12 |
| 2341 | 20773 | 2 |
| 2342 | 20789 | 16 |
| 2343 | 20807 | 18 |
| 2344 | 20809 | 2 |
| 2345 | 20849 | 40 |
Questions
What is the 2342nd prime number?
20789.
Which prime number is 20789?
20789 is the 2342nd prime number.
What is the sum of the first 2342 primes?
22,802,509.