What is the 8300th prime number?
The 8300th prime number is 85237. The next prime is 85243 (a gap of 6) and the one before is 85229.
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 8300th one is 85237.
- 2
85237 is prime because no prime up to ā85237 ā 291.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8300th prime is close to 8300 Ć ln(8300) ā 74899, and here it is 85237.
- 4
85237 has no twin: neither 85235 nor 85239 is prime.
Primes around the 8300th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8297 | 85213 | 12 |
| 8298 | 85223 | 10 |
| 8299 | 85229 | 6 |
| 8300 | 85237 | 8 |
| 8301 | 85243 | 6 |
| 8302 | 85247 | 4 |
| 8303 | 85259 | 12 |
Questions
What is the 8300th prime number?
85237.
Which prime number is 85237?
85237 is the 8300th prime number.
What is the sum of the first 8300 primes?
334,730,103.