What is the 5441st prime number?
The 5441st prime number is 53353. The next prime is 53359 (a gap of 6) and the one before is 53327.
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 5441st one is 53353.
- 2
53353 is prime because no prime up to ā53353 ā 230.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5441st prime is close to 5441 Ć ln(5441) ā 46802, and here it is 53353.
- 4
53353 has no twin: neither 53351 nor 53355 is prime.
Primes around the 5441st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5438 | 53309 | 10 |
| 5439 | 53323 | 14 |
| 5440 | 53327 | 4 |
| 5441 | 53353 | 26 |
| 5442 | 53359 | 6 |
| 5443 | 53377 | 18 |
| 5444 | 53381 | 4 |
Questions
What is the 5441st prime number?
53353.
Which prime number is 53353?
53353 is the 5441st prime number.
What is the sum of the first 5441 primes?
136,931,530.