What is the 8238th prime number?
The 8238th prime number is 84503. The next prime is 84509 (a gap of 6) and the one before is 84499.
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 8238th one is 84503.
- 2
84503 is prime because no prime up to ā84503 ā 290.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8238th prime is close to 8238 Ć ln(8238) ā 74278, and here it is 84503.
- 4
84503 has no twin: neither 84501 nor 84505 is prime.
Primes around the 8238th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8235 | 84467 | 4 |
| 8236 | 84481 | 14 |
| 8237 | 84499 | 18 |
| 8238 | 84503 | 4 |
| 8239 | 84509 | 6 |
| 8240 | 84521 | 12 |
| 8241 | 84523 | 2 |
Questions
What is the 8238th prime number?
84503.
Which prime number is 84503?
84503 is the 8238th prime number.
What is the sum of the first 8238 primes?
329,466,963.