What is the 8486th prime number?
The 8486th prime number is 87421. The next prime is 87427 (a gap of 6) and the one before is 87407.
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 8486th one is 87421.
- 2
87421 is prime because no prime up to ā87421 ā 295.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8486th prime is close to 8486 Ć ln(8486) ā 76766, and here it is 87421.
- 4
87421 has no twin: neither 87419 nor 87423 is prime.
Primes around the 8486th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8483 | 87383 | 24 |
| 8484 | 87403 | 20 |
| 8485 | 87407 | 4 |
| 8486 | 87421 | 14 |
| 8487 | 87427 | 6 |
| 8488 | 87433 | 6 |
| 8489 | 87443 | 10 |
Questions
What is the 8486th prime number?
87421.
Which prime number is 87421?
87421 is the 8486th prime number.
What is the sum of the first 8486 primes?
350,787,253.