What is the 470th prime number?
The 470th prime number is 3331. The next prime is 3343 (a gap of 12) and the one before is 3329.
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 470th one is 3331.
- 2
3331 is prime because no prime up to ā3331 ā 57.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 470th prime is close to 470 Ć ln(470) ā 2892, and here it is 3331.
- 4
3331 is a twin prime: 3329 and 3331 are both prime.
Primes around the 470th
| Position | Prime | Gap from the previous |
|---|---|---|
| 467 | 3319 | 6 |
| 468 | 3323 | 4 |
| 469 | 3329 | 6 |
| 470 | 3331 | 2 |
| 471 | 3343 | 12 |
| 472 | 3347 | 4 |
| 473 | 3359 | 12 |
Questions
What is the 470th prime number?
3331.
Which prime number is 3331?
3331 is the 470th prime number.
What is the sum of the first 470 primes?
720,819.