What is the 5444th prime number?
The 5444th prime number is 53381. The next prime is 53401 (a gap of 20) and the one before is 53377.
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 5444th one is 53381.
- 2
53381 is prime because no prime up to ā53381 ā 231.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5444th prime is close to 5444 Ć ln(5444) ā 46831, and here it is 53381.
- 4
53381 has no twin: neither 53379 nor 53383 is prime.
Primes around the 5444th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5441 | 53353 | 26 |
| 5442 | 53359 | 6 |
| 5443 | 53377 | 18 |
| 5444 | 53381 | 4 |
| 5445 | 53401 | 20 |
| 5446 | 53407 | 6 |
| 5447 | 53411 | 4 |
Questions
What is the 5444th prime number?
53381.
Which prime number is 53381?
53381 is the 5444th prime number.
What is the sum of the first 5444 primes?
137,091,647.