What is the 3453rd prime number?
The 3453rd prime number is 32189. The next prime is 32191 (a gap of 2) and the one before is 32183.
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 3453rd one is 32189.
- 2
32189 is prime because no prime up to ā32189 ā 179.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3453rd prime is close to 3453 Ć ln(3453) ā 28132, and here it is 32189.
- 4
32189 is a twin prime: 32189 and 32191 are both prime.
Primes around the 3453rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3450 | 32159 | 16 |
| 3451 | 32173 | 14 |
| 3452 | 32183 | 10 |
| 3453 | 32189 | 6 |
| 3454 | 32191 | 2 |
| 3455 | 32203 | 12 |
| 3456 | 32213 | 10 |
Questions
What is the 3453rd prime number?
32189.
Which prime number is 32189?
32189 is the 3453rd prime number.
What is the sum of the first 3453 primes?
52,141,524.