What is the 443rd prime number?
The 443rd prime number is 3109. The next prime is 3119 (a gap of 10) and the one before is 3089.
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 443rd one is 3109.
- 2
3109 is prime because no prime up to ā3109 ā 55.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 443rd prime is close to 443 Ć ln(443) ā 2699, and here it is 3109.
- 4
3109 has no twin: neither 3107 nor 3111 is prime.
Primes around the 443rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 440 | 3079 | 12 |
| 441 | 3083 | 4 |
| 442 | 3089 | 6 |
| 443 | 3109 | 20 |
| 444 | 3119 | 10 |
| 445 | 3121 | 2 |
| 446 | 3137 | 16 |
Questions
What is the 443rd prime number?
3109.
Which prime number is 3109?
3109 is the 443rd prime number.
What is the sum of the first 443 primes?
633,492.