What is the 5446th prime number?
The 5446th prime number is 53407. The next prime is 53411 (a gap of 4) and the one before is 53401.
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 5446th one is 53407.
- 2
53407 is prime because no prime up to ā53407 ā 231.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5446th prime is close to 5446 Ć ln(5446) ā 46850, and here it is 53407.
- 4
53407 has no twin: neither 53405 nor 53409 is prime.
Primes around the 5446th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5443 | 53377 | 18 |
| 5444 | 53381 | 4 |
| 5445 | 53401 | 20 |
| 5446 | 53407 | 6 |
| 5447 | 53411 | 4 |
| 5448 | 53419 | 8 |
| 5449 | 53437 | 18 |
Questions
What is the 5446th prime number?
53407.
Which prime number is 53407?
53407 is the 5446th prime number.
What is the sum of the first 5446 primes?
137,198,455.