What is the 8241st prime number?
The 8241st prime number is 84523. The next prime is 84533 (a gap of 10) and the one before is 84521.
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 8241st one is 84523.
- 2
84523 is prime because no prime up to ā84523 ā 290.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8241st prime is close to 8241 Ć ln(8241) ā 74308, and here it is 84523.
- 4
84523 is a twin prime: 84521 and 84523 are both prime.
Primes around the 8241st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8238 | 84503 | 4 |
| 8239 | 84509 | 6 |
| 8240 | 84521 | 12 |
| 8241 | 84523 | 2 |
| 8242 | 84533 | 10 |
| 8243 | 84551 | 18 |
| 8244 | 84559 | 8 |
Questions
What is the 8241st prime number?
84523.
Which prime number is 84523?
84523 is the 8241st prime number.
What is the sum of the first 8241 primes?
329,720,516.