What is the 8301st prime number?
The 8301st prime number is 85243. The next prime is 85247 (a gap of 4) and the one before is 85237.
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 8301st one is 85243.
- 2
85243 is prime because no prime up to ā85243 ā 291.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8301st prime is close to 8301 Ć ln(8301) ā 74909, and here it is 85243.
- 4
85243 has no twin: neither 85241 nor 85245 is prime.
Primes around the 8301st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8298 | 85223 | 10 |
| 8299 | 85229 | 6 |
| 8300 | 85237 | 8 |
| 8301 | 85243 | 6 |
| 8302 | 85247 | 4 |
| 8303 | 85259 | 12 |
| 8304 | 85297 | 38 |
Questions
What is the 8301st prime number?
85243.
Which prime number is 85243?
85243 is the 8301st prime number.
What is the sum of the first 8301 primes?
334,815,346.