What is the 5443rd prime number?
The 5443rd prime number is 53377. The next prime is 53381 (a gap of 4) and the one before is 53359.
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 5443rd one is 53377.
- 2
53377 is prime because no prime up to ā53377 ā 231.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5443rd prime is close to 5443 Ć ln(5443) ā 46821, and here it is 53377.
- 4
53377 has no twin: neither 53375 nor 53379 is prime.
Primes around the 5443rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5440 | 53327 | 4 |
| 5441 | 53353 | 26 |
| 5442 | 53359 | 6 |
| 5443 | 53377 | 18 |
| 5444 | 53381 | 4 |
| 5445 | 53401 | 20 |
| 5446 | 53407 | 6 |
Questions
What is the 5443rd prime number?
53377.
Which prime number is 53377?
53377 is the 5443rd prime number.
What is the sum of the first 5443 primes?
137,038,266.