What is the 487th prime number?
The 487th prime number is 3469. The next prime is 3491 (a gap of 22) and the one before is 3467.
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 487th one is 3469.
- 2
3469 is prime because no prime up to ā3469 ā 58.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 487th prime is close to 487 Ć ln(487) ā 3014, and here it is 3469.
- 4
3469 is a twin prime: 3467 and 3469 are both prime.
Primes around the 487th
| Position | Prime | Gap from the previous |
|---|---|---|
| 484 | 3461 | 4 |
| 485 | 3463 | 2 |
| 486 | 3467 | 4 |
| 487 | 3469 | 2 |
| 488 | 3491 | 22 |
| 489 | 3499 | 8 |
| 490 | 3511 | 12 |
Questions
What is the 487th prime number?
3469.
Which prime number is 3469?
3469 is the 487th prime number.
What is the sum of the first 487 primes?
778,772.