What is the 3449th prime number?
The 3449th prime number is 32143. The next prime is 32159 (a gap of 16) and the one before is 32141.
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 3449th one is 32143.
- 2
32143 is prime because no prime up to ā32143 ā 179.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3449th prime is close to 3449 Ć ln(3449) ā 28095, and here it is 32143.
- 4
32143 is a twin prime: 32141 and 32143 are both prime.
Primes around the 3449th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3446 | 32117 | 18 |
| 3447 | 32119 | 2 |
| 3448 | 32141 | 22 |
| 3449 | 32143 | 2 |
| 3450 | 32159 | 16 |
| 3451 | 32173 | 14 |
| 3452 | 32183 | 10 |
Questions
What is the 3449th prime number?
32143.
Which prime number is 32143?
32143 is the 3449th prime number.
What is the sum of the first 3449 primes?
52,012,820.