What is the 5450th prime number?
The 5450th prime number is 53441. The next prime is 53453 (a gap of 12) and the one before is 53437.
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 5450th one is 53441.
- 2
53441 is prime because no prime up to ā53441 ā 231.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5450th prime is close to 5450 Ć ln(5450) ā 46888, and here it is 53441.
- 4
53441 has no twin: neither 53439 nor 53443 is prime.
Primes around the 5450th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5447 | 53411 | 4 |
| 5448 | 53419 | 8 |
| 5449 | 53437 | 18 |
| 5450 | 53441 | 4 |
| 5451 | 53453 | 12 |
| 5452 | 53479 | 26 |
| 5453 | 53503 | 24 |
Questions
What is the 5450th prime number?
53441.
Which prime number is 53441?
53441 is the 5450th prime number.
What is the sum of the first 5450 primes?
137,412,163.