What is the 445th prime number?
The 445th prime number is 3121. The next prime is 3137 (a gap of 16) and the one before is 3119.
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 445th one is 3121.
- 2
3121 is prime because no prime up to ā3121 ā 55.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 445th prime is close to 445 Ć ln(445) ā 2714, and here it is 3121.
- 4
3121 is a twin prime: 3119 and 3121 are both prime.
Primes around the 445th
| Position | Prime | Gap from the previous |
|---|---|---|
| 442 | 3089 | 6 |
| 443 | 3109 | 20 |
| 444 | 3119 | 10 |
| 445 | 3121 | 2 |
| 446 | 3137 | 16 |
| 447 | 3163 | 26 |
| 448 | 3167 | 4 |
Questions
What is the 445th prime number?
3121.
Which prime number is 3121?
3121 is the 445th prime number.
What is the sum of the first 445 primes?
639,732.