What is the 3446th prime number?
The 3446th prime number is 32117. The next prime is 32119 (a gap of 2) and the one before is 32099.
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 3446th one is 32117.
- 2
32117 is prime because no prime up to ā32117 ā 179.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3446th prime is close to 3446 Ć ln(3446) ā 28068, and here it is 32117.
- 4
32117 is a twin prime: 32117 and 32119 are both prime.
Primes around the 3446th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3443 | 32083 | 6 |
| 3444 | 32089 | 6 |
| 3445 | 32099 | 10 |
| 3446 | 32117 | 18 |
| 3447 | 32119 | 2 |
| 3448 | 32141 | 22 |
| 3449 | 32143 | 2 |
Questions
What is the 3446th prime number?
32117.
Which prime number is 32117?
32117 is the 3446th prime number.
What is the sum of the first 3446 primes?
51,916,417.