What is the 8234th prime number?
The 8234th prime number is 84463. The next prime is 84467 (a gap of 4) and the one before is 84457.
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 8234th one is 84463.
- 2
84463 is prime because no prime up to ā84463 ā 290.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8234th prime is close to 8234 Ć ln(8234) ā 74238, and here it is 84463.
- 4
84463 has no twin: neither 84461 nor 84465 is prime.
Primes around the 8234th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8231 | 84443 | 6 |
| 8232 | 84449 | 6 |
| 8233 | 84457 | 8 |
| 8234 | 84463 | 6 |
| 8235 | 84467 | 4 |
| 8236 | 84481 | 14 |
| 8237 | 84499 | 18 |
Questions
What is the 8234th prime number?
84463.
Which prime number is 84463?
84463 is the 8234th prime number.
What is the sum of the first 8234 primes?
329,129,013.