What is the 3471st prime number?
The 3471st prime number is 32359. The next prime is 32363 (a gap of 4) and the one before is 32353.
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 3471st one is 32359.
- 2
32359 is prime because no prime up to ā32359 ā 179.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3471st prime is close to 3471 Ć ln(3471) ā 28296, and here it is 32359.
- 4
32359 has no twin: neither 32357 nor 32361 is prime.
Primes around the 3471st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3468 | 32327 | 4 |
| 3469 | 32341 | 14 |
| 3470 | 32353 | 12 |
| 3471 | 32359 | 6 |
| 3472 | 32363 | 4 |
| 3473 | 32369 | 6 |
| 3474 | 32371 | 2 |
Questions
What is the 3471st prime number?
32359.
Which prime number is 32359?
32359 is the 3471st prime number.
What is the sum of the first 3471 primes?
52,722,602.