What is the 3443rd prime number?
The 3443rd prime number is 32083. The next prime is 32089 (a gap of 6) and the one before is 32077.
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 3443rd one is 32083.
- 2
32083 is prime because no prime up to ā32083 ā 179.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3443rd prime is close to 3443 Ć ln(3443) ā 28040, and here it is 32083.
- 4
32083 has no twin: neither 32081 nor 32085 is prime.
Primes around the 3443rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3440 | 32063 | 4 |
| 3441 | 32069 | 6 |
| 3442 | 32077 | 8 |
| 3443 | 32083 | 6 |
| 3444 | 32089 | 6 |
| 3445 | 32099 | 10 |
| 3446 | 32117 | 18 |
Questions
What is the 3443rd prime number?
32083.
Which prime number is 32083?
32083 is the 3443rd prime number.
What is the sum of the first 3443 primes?
51,820,112.