What is the 5442nd prime number?
The 5442nd prime number is 53359. The next prime is 53377 (a gap of 18) and the one before is 53353.
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 5442nd one is 53359.
- 2
53359 is prime because no prime up to ā53359 ā 231.00 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5442nd prime is close to 5442 Ć ln(5442) ā 46812, and here it is 53359.
- 4
53359 has no twin: neither 53357 nor 53361 is prime.
Primes around the 5442nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5439 | 53323 | 14 |
| 5440 | 53327 | 4 |
| 5441 | 53353 | 26 |
| 5442 | 53359 | 6 |
| 5443 | 53377 | 18 |
| 5444 | 53381 | 4 |
| 5445 | 53401 | 20 |
Questions
What is the 5442nd prime number?
53359.
Which prime number is 53359?
53359 is the 5442nd prime number.
What is the sum of the first 5442 primes?
136,984,889.