What is the 3452nd prime number?
The 3452nd prime number is 32183. The next prime is 32189 (a gap of 6) and the one before is 32173.
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 3452nd one is 32183.
- 2
32183 is prime because no prime up to ā32183 ā 179.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3452nd prime is close to 3452 Ć ln(3452) ā 28122, and here it is 32183.
- 4
32183 has no twin: neither 32181 nor 32185 is prime.
Primes around the 3452nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3449 | 32143 | 2 |
| 3450 | 32159 | 16 |
| 3451 | 32173 | 14 |
| 3452 | 32183 | 10 |
| 3453 | 32189 | 6 |
| 3454 | 32191 | 2 |
| 3455 | 32203 | 12 |
Questions
What is the 3452nd prime number?
32183.
Which prime number is 32183?
32183 is the 3452nd prime number.
What is the sum of the first 3452 primes?
52,109,335.