What is the 3465th prime number?
The 3465th prime number is 32309. The next prime is 32321 (a gap of 12) and the one before is 32303.
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 3465th one is 32309.
- 2
32309 is prime because no prime up to ā32309 ā 179.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3465th prime is close to 3465 Ć ln(3465) ā 28241, and here it is 32309.
- 4
32309 has no twin: neither 32307 nor 32311 is prime.
Primes around the 3465th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3462 | 32297 | 36 |
| 3463 | 32299 | 2 |
| 3464 | 32303 | 4 |
| 3465 | 32309 | 6 |
| 3466 | 32321 | 12 |
| 3467 | 32323 | 2 |
| 3468 | 32327 | 4 |
Questions
What is the 3465th prime number?
32309.
Which prime number is 32309?
32309 is the 3465th prime number.
What is the sum of the first 3465 primes?
52,528,578.