What is the 3472nd prime number?
The 3472nd prime number is 32363. The next prime is 32369 (a gap of 6) and the one before is 32359.
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 3472nd one is 32363.
- 2
32363 is prime because no prime up to ā32363 ā 179.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3472nd prime is close to 3472 Ć ln(3472) ā 28305, and here it is 32363.
- 4
32363 has no twin: neither 32361 nor 32365 is prime.
Primes around the 3472nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3469 | 32341 | 14 |
| 3470 | 32353 | 12 |
| 3471 | 32359 | 6 |
| 3472 | 32363 | 4 |
| 3473 | 32369 | 6 |
| 3474 | 32371 | 2 |
| 3475 | 32377 | 6 |
Questions
What is the 3472nd prime number?
32363.
Which prime number is 32363?
32363 is the 3472nd prime number.
What is the sum of the first 3472 primes?
52,754,965.