What is the 477th prime number?
The 477th prime number is 3389. The next prime is 3391 (a gap of 2) and the one before is 3373.
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 477th one is 3389.
- 2
3389 is prime because no prime up to ā3389 ā 58.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 477th prime is close to 477 Ć ln(477) ā 2942, and here it is 3389.
- 4
3389 is a twin prime: 3389 and 3391 are both prime.
Primes around the 477th
| Position | Prime | Gap from the previous |
|---|---|---|
| 474 | 3361 | 2 |
| 475 | 3371 | 10 |
| 476 | 3373 | 2 |
| 477 | 3389 | 16 |
| 478 | 3391 | 2 |
| 479 | 3407 | 16 |
| 480 | 3413 | 6 |
Questions
What is the 477th prime number?
3389.
Which prime number is 3389?
3389 is the 477th prime number.
What is the sum of the first 477 primes?
744,362.