What is the 8485th prime number?
The 8485th prime number is 87407. The next prime is 87421 (a gap of 14) and the one before is 87403.
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 8485th one is 87407.
- 2
87407 is prime because no prime up to ā87407 ā 295.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8485th prime is close to 8485 Ć ln(8485) ā 76756, and here it is 87407.
- 4
87407 has no twin: neither 87405 nor 87409 is prime.
Primes around the 8485th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8482 | 87359 | 22 |
| 8483 | 87383 | 24 |
| 8484 | 87403 | 20 |
| 8485 | 87407 | 4 |
| 8486 | 87421 | 14 |
| 8487 | 87427 | 6 |
| 8488 | 87433 | 6 |
Questions
What is the 8485th prime number?
87407.
Which prime number is 87407?
87407 is the 8485th prime number.
What is the sum of the first 8485 primes?
350,699,832.