What is the 8487th prime number?
The 8487th prime number is 87427. The next prime is 87433 (a gap of 6) and the one before is 87421.
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 8487th one is 87427.
- 2
87427 is prime because no prime up to ā87427 ā 295.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8487th prime is close to 8487 Ć ln(8487) ā 76776, and here it is 87427.
- 4
87427 has no twin: neither 87425 nor 87429 is prime.
Primes around the 8487th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8484 | 87403 | 20 |
| 8485 | 87407 | 4 |
| 8486 | 87421 | 14 |
| 8487 | 87427 | 6 |
| 8488 | 87433 | 6 |
| 8489 | 87443 | 10 |
| 8490 | 87473 | 30 |
Questions
What is the 8487th prime number?
87427.
Which prime number is 87427?
87427 is the 8487th prime number.
What is the sum of the first 8487 primes?
350,874,680.