What is the 472nd prime number?
The 472nd prime number is 3347. The next prime is 3359 (a gap of 12) and the one before is 3343.
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 472nd one is 3347.
- 2
3347 is prime because no prime up to ā3347 ā 57.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 472nd prime is close to 472 Ć ln(472) ā 2906, and here it is 3347.
- 4
3347 has no twin: neither 3345 nor 3349 is prime.
Primes around the 472nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 469 | 3329 | 6 |
| 470 | 3331 | 2 |
| 471 | 3343 | 12 |
| 472 | 3347 | 4 |
| 473 | 3359 | 12 |
| 474 | 3361 | 2 |
| 475 | 3371 | 10 |
Questions
What is the 472nd prime number?
3347.
Which prime number is 3347?
3347 is the 472nd prime number.
What is the sum of the first 472 primes?
727,509.