What is the 8242nd prime number?
The 8242nd prime number is 84533. The next prime is 84551 (a gap of 18) and the one before is 84523.
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 8242nd one is 84533.
- 2
84533 is prime because no prime up to ā84533 ā 290.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8242nd prime is close to 8242 Ć ln(8242) ā 74318, and here it is 84533.
- 4
84533 has no twin: neither 84531 nor 84535 is prime.
Primes around the 8242nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8239 | 84509 | 6 |
| 8240 | 84521 | 12 |
| 8241 | 84523 | 2 |
| 8242 | 84533 | 10 |
| 8243 | 84551 | 18 |
| 8244 | 84559 | 8 |
| 8245 | 84589 | 30 |
Questions
What is the 8242nd prime number?
84533.
Which prime number is 84533?
84533 is the 8242nd prime number.
What is the sum of the first 8242 primes?
329,805,049.