What is the 8482nd prime number?
The 8482nd prime number is 87359. The next prime is 87383 (a gap of 24) and the one before is 87337.
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 8482nd one is 87359.
- 2
87359 is prime because no prime up to ā87359 ā 295.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8482nd prime is close to 8482 Ć ln(8482) ā 76726, and here it is 87359.
- 4
87359 has no twin: neither 87357 nor 87361 is prime.
Primes around the 8482nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8479 | 87317 | 4 |
| 8480 | 87323 | 6 |
| 8481 | 87337 | 14 |
| 8482 | 87359 | 22 |
| 8483 | 87383 | 24 |
| 8484 | 87403 | 20 |
| 8485 | 87407 | 4 |
Questions
What is the 8482nd prime number?
87359.
Which prime number is 87359?
87359 is the 8482nd prime number.
What is the sum of the first 8482 primes?
350,437,639.