What is the 5449th prime number?
The 5449th prime number is 53437. The next prime is 53441 (a gap of 4) and the one before is 53419.
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 5449th one is 53437.
- 2
53437 is prime because no prime up to ā53437 ā 231.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5449th prime is close to 5449 Ć ln(5449) ā 46879, and here it is 53437.
- 4
53437 has no twin: neither 53435 nor 53439 is prime.
Primes around the 5449th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5446 | 53407 | 6 |
| 5447 | 53411 | 4 |
| 5448 | 53419 | 8 |
| 5449 | 53437 | 18 |
| 5450 | 53441 | 4 |
| 5451 | 53453 | 12 |
| 5452 | 53479 | 26 |
Questions
What is the 5449th prime number?
53437.
Which prime number is 53437?
53437 is the 5449th prime number.
What is the sum of the first 5449 primes?
137,358,722.