What is the 3468th prime number?
The 3468th prime number is 32327. The next prime is 32341 (a gap of 14) and the one before is 32323.
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 3468th one is 32327.
- 2
32327 is prime because no prime up to ā32327 ā 179.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3468th prime is close to 3468 Ć ln(3468) ā 28269, and here it is 32327.
- 4
32327 has no twin: neither 32325 nor 32329 is prime.
Primes around the 3468th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3465 | 32309 | 6 |
| 3466 | 32321 | 12 |
| 3467 | 32323 | 2 |
| 3468 | 32327 | 4 |
| 3469 | 32341 | 14 |
| 3470 | 32353 | 12 |
| 3471 | 32359 | 6 |
Questions
What is the 3468th prime number?
32327.
Which prime number is 32327?
32327 is the 3468th prime number.
What is the sum of the first 3468 primes?
52,625,549.