What is the 5445th prime number?
The 5445th prime number is 53401. The next prime is 53407 (a gap of 6) and the one before is 53381.
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 5445th one is 53401.
- 2
53401 is prime because no prime up to ā53401 ā 231.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5445th prime is close to 5445 Ć ln(5445) ā 46840, and here it is 53401.
- 4
53401 has no twin: neither 53399 nor 53403 is prime.
Primes around the 5445th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5442 | 53359 | 6 |
| 5443 | 53377 | 18 |
| 5444 | 53381 | 4 |
| 5445 | 53401 | 20 |
| 5446 | 53407 | 6 |
| 5447 | 53411 | 4 |
| 5448 | 53419 | 8 |
Questions
What is the 5445th prime number?
53401.
Which prime number is 53401?
53401 is the 5445th prime number.
What is the sum of the first 5445 primes?
137,145,048.