What is the 8404th prime number?
The 8404th prime number is 86413. The next prime is 86423 (a gap of 10) and the one before is 86399.
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 8404th one is 86413.
- 2
86413 is prime because no prime up to ā86413 ā 293.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8404th prime is close to 8404 Ć ln(8404) ā 75942, and here it is 86413.
- 4
86413 has no twin: neither 86411 nor 86415 is prime.
Primes around the 8404th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8401 | 86381 | 10 |
| 8402 | 86389 | 8 |
| 8403 | 86399 | 10 |
| 8404 | 86413 | 14 |
| 8405 | 86423 | 10 |
| 8406 | 86441 | 18 |
| 8407 | 86453 | 12 |
Questions
What is the 8404th prime number?
86413.
Which prime number is 86413?
86413 is the 8404th prime number.
What is the sum of the first 8404 primes?
343,659,171.