What is the 3470th prime number?
The 3470th prime number is 32353. The next prime is 32359 (a gap of 6) and the one before is 32341.
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 3470th one is 32353.
- 2
32353 is prime because no prime up to ā32353 ā 179.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3470th prime is close to 3470 Ć ln(3470) ā 28287, and here it is 32353.
- 4
32353 has no twin: neither 32351 nor 32355 is prime.
Primes around the 3470th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3467 | 32323 | 2 |
| 3468 | 32327 | 4 |
| 3469 | 32341 | 14 |
| 3470 | 32353 | 12 |
| 3471 | 32359 | 6 |
| 3472 | 32363 | 4 |
| 3473 | 32369 | 6 |
Questions
What is the 3470th prime number?
32353.
Which prime number is 32353?
32353 is the 3470th prime number.
What is the sum of the first 3470 primes?
52,690,243.