What is the 3445th prime number?
The 3445th prime number is 32099. The next prime is 32117 (a gap of 18) and the one before is 32089.
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 3445th one is 32099.
- 2
32099 is prime because no prime up to ā32099 ā 179.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3445th prime is close to 3445 Ć ln(3445) ā 28058, and here it is 32099.
- 4
32099 has no twin: neither 32097 nor 32101 is prime.
Primes around the 3445th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3442 | 32077 | 8 |
| 3443 | 32083 | 6 |
| 3444 | 32089 | 6 |
| 3445 | 32099 | 10 |
| 3446 | 32117 | 18 |
| 3447 | 32119 | 2 |
| 3448 | 32141 | 22 |
Questions
What is the 3445th prime number?
32099.
Which prime number is 32099?
32099 is the 3445th prime number.
What is the sum of the first 3445 primes?
51,884,300.