What is the 3444th prime number?
The 3444th prime number is 32089. The next prime is 32099 (a gap of 10) and the one before is 32083.
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 3444th one is 32089.
- 2
32089 is prime because no prime up to ā32089 ā 179.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3444th prime is close to 3444 Ć ln(3444) ā 28049, and here it is 32089.
- 4
32089 has no twin: neither 32087 nor 32091 is prime.
Primes around the 3444th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3441 | 32069 | 6 |
| 3442 | 32077 | 8 |
| 3443 | 32083 | 6 |
| 3444 | 32089 | 6 |
| 3445 | 32099 | 10 |
| 3446 | 32117 | 18 |
| 3447 | 32119 | 2 |
Questions
What is the 3444th prime number?
32089.
Which prime number is 32089?
32089 is the 3444th prime number.
What is the sum of the first 3444 primes?
51,852,201.