What is the 479th prime number?
The 479th prime number is 3407. The next prime is 3413 (a gap of 6) and the one before is 3391.
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 479th one is 3407.
- 2
3407 is prime because no prime up to ā3407 ā 58.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 479th prime is close to 479 Ć ln(479) ā 2956, and here it is 3407.
- 4
3407 has no twin: neither 3405 nor 3409 is prime.
Primes around the 479th
| Position | Prime | Gap from the previous |
|---|---|---|
| 476 | 3373 | 2 |
| 477 | 3389 | 16 |
| 478 | 3391 | 2 |
| 479 | 3407 | 16 |
| 480 | 3413 | 6 |
| 481 | 3433 | 20 |
| 482 | 3449 | 16 |
Questions
What is the 479th prime number?
3407.
Which prime number is 3407?
3407 is the 479th prime number.
What is the sum of the first 479 primes?
751,160.