What is the 444th prime number?
The 444th prime number is 3119. The next prime is 3121 (a gap of 2) and the one before is 3109.
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 444th one is 3119.
- 2
3119 is prime because no prime up to ā3119 ā 55.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 444th prime is close to 444 Ć ln(444) ā 2707, and here it is 3119.
- 4
3119 is a twin prime: 3119 and 3121 are both prime.
Primes around the 444th
| Position | Prime | Gap from the previous |
|---|---|---|
| 441 | 3083 | 4 |
| 442 | 3089 | 6 |
| 443 | 3109 | 20 |
| 444 | 3119 | 10 |
| 445 | 3121 | 2 |
| 446 | 3137 | 16 |
| 447 | 3163 | 26 |
Questions
What is the 444th prime number?
3119.
Which prime number is 3119?
3119 is the 444th prime number.
What is the sum of the first 444 primes?
636,611.