What is the 3469th prime number?
The 3469th prime number is 32341. The next prime is 32353 (a gap of 12) and the one before is 32327.
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 3469th one is 32341.
- 2
32341 is prime because no prime up to ā32341 ā 179.84 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3469th prime is close to 3469 Ć ln(3469) ā 28278, and here it is 32341.
- 4
32341 has no twin: neither 32339 nor 32343 is prime.
Primes around the 3469th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3466 | 32321 | 12 |
| 3467 | 32323 | 2 |
| 3468 | 32327 | 4 |
| 3469 | 32341 | 14 |
| 3470 | 32353 | 12 |
| 3471 | 32359 | 6 |
| 3472 | 32363 | 4 |
Questions
What is the 3469th prime number?
32341.
Which prime number is 32341?
32341 is the 3469th prime number.
What is the sum of the first 3469 primes?
52,657,890.