What is the 8226th prime number?
The 8226th prime number is 84401. The next prime is 84407 (a gap of 6) and the one before is 84391.
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 8226th one is 84401.
- 2
84401 is prime because no prime up to ā84401 ā 290.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8226th prime is close to 8226 Ć ln(8226) ā 74158, and here it is 84401.
- 4
84401 has no twin: neither 84399 nor 84403 is prime.
Primes around the 8226th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8223 | 84377 | 28 |
| 8224 | 84389 | 12 |
| 8225 | 84391 | 2 |
| 8226 | 84401 | 10 |
| 8227 | 84407 | 6 |
| 8228 | 84421 | 14 |
| 8229 | 84431 | 10 |
Questions
What is the 8226th prime number?
84401.
Which prime number is 84401?
84401 is the 8226th prime number.
What is the sum of the first 8226 primes?
328,453,505.