What is the 476th prime number?
The 476th prime number is 3373. The next prime is 3389 (a gap of 16) and the one before is 3371.
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 476th one is 3373.
- 2
3373 is prime because no prime up to ā3373 ā 58.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 476th prime is close to 476 Ć ln(476) ā 2935, and here it is 3373.
- 4
3373 is a twin prime: 3371 and 3373 are both prime.
Primes around the 476th
| Position | Prime | Gap from the previous |
|---|---|---|
| 473 | 3359 | 12 |
| 474 | 3361 | 2 |
| 475 | 3371 | 10 |
| 476 | 3373 | 2 |
| 477 | 3389 | 16 |
| 478 | 3391 | 2 |
| 479 | 3407 | 16 |
Questions
What is the 476th prime number?
3373.
Which prime number is 3373?
3373 is the 476th prime number.
What is the sum of the first 476 primes?
740,973.