What is the 8405th prime number?
The 8405th prime number is 86423. The next prime is 86441 (a gap of 18) and the one before is 86413.
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 8405th one is 86423.
- 2
86423 is prime because no prime up to ā86423 ā 293.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8405th prime is close to 8405 Ć ln(8405) ā 75952, and here it is 86423.
- 4
86423 has no twin: neither 86421 nor 86425 is prime.
Primes around the 8405th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8402 | 86389 | 8 |
| 8403 | 86399 | 10 |
| 8404 | 86413 | 14 |
| 8405 | 86423 | 10 |
| 8406 | 86441 | 18 |
| 8407 | 86453 | 12 |
| 8408 | 86461 | 8 |
Questions
What is the 8405th prime number?
86423.
Which prime number is 86423?
86423 is the 8405th prime number.
What is the sum of the first 8405 primes?
343,745,594.