What is the 8244th prime number?
The 8244th prime number is 84559. The next prime is 84589 (a gap of 30) and the one before is 84551.
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 8244th one is 84559.
- 2
84559 is prime because no prime up to ā84559 ā 290.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8244th prime is close to 8244 Ć ln(8244) ā 74338, and here it is 84559.
- 4
84559 has no twin: neither 84557 nor 84561 is prime.
Primes around the 8244th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8241 | 84523 | 2 |
| 8242 | 84533 | 10 |
| 8243 | 84551 | 18 |
| 8244 | 84559 | 8 |
| 8245 | 84589 | 30 |
| 8246 | 84629 | 40 |
| 8247 | 84631 | 2 |
Questions
What is the 8244th prime number?
84559.
Which prime number is 84559?
84559 is the 8244th prime number.
What is the sum of the first 8244 primes?
329,974,159.