What is the 2442nd prime number?
The 2442nd prime number is 21767. The next prime is 21773 (a gap of 6) and the one before is 21757.
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 2442nd one is 21767.
- 2
21767 is prime because no prime up to ā21767 ā 147.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2442nd prime is close to 2442 Ć ln(2442) ā 19049, and here it is 21767.
- 4
21767 has no twin: neither 21765 nor 21769 is prime.
Primes around the 2442nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2439 | 21739 | 2 |
| 2440 | 21751 | 12 |
| 2441 | 21757 | 6 |
| 2442 | 21767 | 10 |
| 2443 | 21773 | 6 |
| 2444 | 21787 | 14 |
| 2445 | 21799 | 12 |
Questions
What is the 2442nd prime number?
21767.
Which prime number is 21767?
21767 is the 2442nd prime number.
What is the sum of the first 2442 primes?
24,932,221.