What is the 5448th prime number?
The 5448th prime number is 53419. The next prime is 53437 (a gap of 18) and the one before is 53411.
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 5448th one is 53419.
- 2
53419 is prime because no prime up to ā53419 ā 231.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5448th prime is close to 5448 Ć ln(5448) ā 46869, and here it is 53419.
- 4
53419 has no twin: neither 53417 nor 53421 is prime.
Primes around the 5448th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5445 | 53401 | 20 |
| 5446 | 53407 | 6 |
| 5447 | 53411 | 4 |
| 5448 | 53419 | 8 |
| 5449 | 53437 | 18 |
| 5450 | 53441 | 4 |
| 5451 | 53453 | 12 |
Questions
What is the 5448th prime number?
53419.
Which prime number is 53419?
53419 is the 5448th prime number.
What is the sum of the first 5448 primes?
137,305,285.