What is the 475th prime number?
The 475th prime number is 3371. The next prime is 3373 (a gap of 2) and the one before is 3361.
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 475th one is 3371.
- 2
3371 is prime because no prime up to ā3371 ā 58.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 475th prime is close to 475 Ć ln(475) ā 2928, and here it is 3371.
- 4
3371 is a twin prime: 3371 and 3373 are both prime.
Primes around the 475th
| Position | Prime | Gap from the previous |
|---|---|---|
| 472 | 3347 | 4 |
| 473 | 3359 | 12 |
| 474 | 3361 | 2 |
| 475 | 3371 | 10 |
| 476 | 3373 | 2 |
| 477 | 3389 | 16 |
| 478 | 3391 | 2 |
Questions
What is the 475th prime number?
3371.
Which prime number is 3371?
3371 is the 475th prime number.
What is the sum of the first 475 primes?
737,600.