What is the 474th prime number?
The 474th prime number is 3361. The next prime is 3371 (a gap of 10) and the one before is 3359.
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 474th one is 3361.
- 2
3361 is prime because no prime up to ā3361 ā 57.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 474th prime is close to 474 Ć ln(474) ā 2920, and here it is 3361.
- 4
3361 is a twin prime: 3359 and 3361 are both prime.
Primes around the 474th
| Position | Prime | Gap from the previous |
|---|---|---|
| 471 | 3343 | 12 |
| 472 | 3347 | 4 |
| 473 | 3359 | 12 |
| 474 | 3361 | 2 |
| 475 | 3371 | 10 |
| 476 | 3373 | 2 |
| 477 | 3389 | 16 |
Questions
What is the 474th prime number?
3361.
Which prime number is 3361?
3361 is the 474th prime number.
What is the sum of the first 474 primes?
734,229.