What is the 8232nd prime number?
The 8232nd prime number is 84449. The next prime is 84457 (a gap of 8) and the one before is 84443.
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 8232nd one is 84449.
- 2
84449 is prime because no prime up to ā84449 ā 290.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8232nd prime is close to 8232 Ć ln(8232) ā 74218, and here it is 84449.
- 4
84449 has no twin: neither 84447 nor 84451 is prime.
Primes around the 8232nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8229 | 84431 | 10 |
| 8230 | 84437 | 6 |
| 8231 | 84443 | 6 |
| 8232 | 84449 | 6 |
| 8233 | 84457 | 8 |
| 8234 | 84463 | 6 |
| 8235 | 84467 | 4 |
Questions
What is the 8232nd prime number?
84449.
Which prime number is 84449?
84449 is the 8232nd prime number.
What is the sum of the first 8232 primes?
328,960,093.