What is the 8302nd prime number?
The 8302nd prime number is 85247. The next prime is 85259 (a gap of 12) and the one before is 85243.
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 8302nd one is 85247.
- 2
85247 is prime because no prime up to ā85247 ā 291.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8302nd prime is close to 8302 Ć ln(8302) ā 74919, and here it is 85247.
- 4
85247 has no twin: neither 85245 nor 85249 is prime.
Primes around the 8302nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8299 | 85229 | 6 |
| 8300 | 85237 | 8 |
| 8301 | 85243 | 6 |
| 8302 | 85247 | 4 |
| 8303 | 85259 | 12 |
| 8304 | 85297 | 38 |
| 8305 | 85303 | 6 |
Questions
What is the 8302nd prime number?
85247.
Which prime number is 85247?
85247 is the 8302nd prime number.
What is the sum of the first 8302 primes?
334,900,593.