What is the 486th prime number?
The 486th prime number is 3467. The next prime is 3469 (a gap of 2) and the one before is 3463.
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 486th one is 3467.
- 2
3467 is prime because no prime up to ā3467 ā 58.88 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 486th prime is close to 486 Ć ln(486) ā 3006, and here it is 3467.
- 4
3467 is a twin prime: 3467 and 3469 are both prime.
Primes around the 486th
| Position | Prime | Gap from the previous |
|---|---|---|
| 483 | 3457 | 8 |
| 484 | 3461 | 4 |
| 485 | 3463 | 2 |
| 486 | 3467 | 4 |
| 487 | 3469 | 2 |
| 488 | 3491 | 22 |
| 489 | 3499 | 8 |
Questions
What is the 486th prime number?
3467.
Which prime number is 3467?
3467 is the 486th prime number.
What is the sum of the first 486 primes?
775,303.