What is the 8243rd prime number?
The 8243rd prime number is 84551. The next prime is 84559 (a gap of 8) and the one before is 84533.
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 8243rd one is 84551.
- 2
84551 is prime because no prime up to ā84551 ā 290.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8243rd prime is close to 8243 Ć ln(8243) ā 74328, and here it is 84551.
- 4
84551 has no twin: neither 84549 nor 84553 is prime.
Primes around the 8243rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8240 | 84521 | 12 |
| 8241 | 84523 | 2 |
| 8242 | 84533 | 10 |
| 8243 | 84551 | 18 |
| 8244 | 84559 | 8 |
| 8245 | 84589 | 30 |
| 8246 | 84629 | 40 |
Questions
What is the 8243rd prime number?
84551.
Which prime number is 84551?
84551 is the 8243rd prime number.
What is the sum of the first 8243 primes?
329,889,600.