What is the 8303rd prime number?
The 8303rd prime number is 85259. The next prime is 85297 (a gap of 38) and the one before is 85247.
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 8303rd one is 85259.
- 2
85259 is prime because no prime up to ā85259 ā 291.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8303rd prime is close to 8303 Ć ln(8303) ā 74929, and here it is 85259.
- 4
85259 has no twin: neither 85257 nor 85261 is prime.
Primes around the 8303rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8300 | 85237 | 8 |
| 8301 | 85243 | 6 |
| 8302 | 85247 | 4 |
| 8303 | 85259 | 12 |
| 8304 | 85297 | 38 |
| 8305 | 85303 | 6 |
| 8306 | 85313 | 10 |
Questions
What is the 8303rd prime number?
85259.
Which prime number is 85259?
85259 is the 8303rd prime number.
What is the sum of the first 8303 primes?
334,985,852.