What is the 2443rd prime number?
The 2443rd prime number is 21773. The next prime is 21787 (a gap of 14) and the one before is 21767.
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 2443rd one is 21773.
- 2
21773 is prime because no prime up to ā21773 ā 147.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2443rd prime is close to 2443 Ć ln(2443) ā 19058, and here it is 21773.
- 4
21773 has no twin: neither 21771 nor 21775 is prime.
Primes around the 2443rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2440 | 21751 | 12 |
| 2441 | 21757 | 6 |
| 2442 | 21767 | 10 |
| 2443 | 21773 | 6 |
| 2444 | 21787 | 14 |
| 2445 | 21799 | 12 |
| 2446 | 21803 | 4 |
Questions
What is the 2443rd prime number?
21773.
Which prime number is 21773?
21773 is the 2443rd prime number.
What is the sum of the first 2443 primes?
24,953,994.