What is the 471st prime number?
The 471st prime number is 3343. The next prime is 3347 (a gap of 4) and the one before is 3331.
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 471st one is 3343.
- 2
3343 is prime because no prime up to ā3343 ā 57.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 471st prime is close to 471 Ć ln(471) ā 2899, and here it is 3343.
- 4
3343 has no twin: neither 3341 nor 3345 is prime.
Primes around the 471st
| Position | Prime | Gap from the previous |
|---|---|---|
| 468 | 3323 | 4 |
| 469 | 3329 | 6 |
| 470 | 3331 | 2 |
| 471 | 3343 | 12 |
| 472 | 3347 | 4 |
| 473 | 3359 | 12 |
| 474 | 3361 | 2 |
Questions
What is the 471st prime number?
3343.
Which prime number is 3343?
3343 is the 471st prime number.
What is the sum of the first 471 primes?
724,162.