What is the 447th prime number?
The 447th prime number is 3163. The next prime is 3167 (a gap of 4) and the one before is 3137.
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 447th one is 3163.
- 2
3163 is prime because no prime up to ā3163 ā 56.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 447th prime is close to 447 Ć ln(447) ā 2728, and here it is 3163.
- 4
3163 has no twin: neither 3161 nor 3165 is prime.
Primes around the 447th
| Position | Prime | Gap from the previous |
|---|---|---|
| 444 | 3119 | 10 |
| 445 | 3121 | 2 |
| 446 | 3137 | 16 |
| 447 | 3163 | 26 |
| 448 | 3167 | 4 |
| 449 | 3169 | 2 |
| 450 | 3181 | 12 |
Questions
What is the 447th prime number?
3163.
Which prime number is 3163?
3163 is the 447th prime number.
What is the sum of the first 447 primes?
646,032.