What is the 3448th prime number?
The 3448th prime number is 32141. The next prime is 32143 (a gap of 2) and the one before is 32119.
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 3448th one is 32141.
- 2
32141 is prime because no prime up to ā32141 ā 179.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3448th prime is close to 3448 Ć ln(3448) ā 28086, and here it is 32141.
- 4
32141 is a twin prime: 32141 and 32143 are both prime.
Primes around the 3448th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3445 | 32099 | 10 |
| 3446 | 32117 | 18 |
| 3447 | 32119 | 2 |
| 3448 | 32141 | 22 |
| 3449 | 32143 | 2 |
| 3450 | 32159 | 16 |
| 3451 | 32173 | 14 |
Questions
What is the 3448th prime number?
32141.
Which prime number is 32141?
32141 is the 3448th prime number.
What is the sum of the first 3448 primes?
51,980,677.