What is the 9617th prime number?
The 9617th prime number is 100333. The next prime is 100343 (a gap of 10) and the one before is 100313.
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 9617th one is 100333.
- 2
100333 is prime because no prime up to ā100333 ā 316.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9617th prime is close to 9617 Ć ln(9617) ā 88200, and here it is 100333.
- 4
100333 has no twin: neither 100331 nor 100335 is prime.
Primes around the 9617th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9614 | 100291 | 12 |
| 9615 | 100297 | 6 |
| 9616 | 100313 | 16 |
| 9617 | 100333 | 20 |
| 9618 | 100343 | 10 |
| 9619 | 100357 | 14 |
| 9620 | 100361 | 4 |
Questions
What is the 9617th prime number?
100333.
Which prime number is 100333?
100333 is the 9617th prime number.
What is the sum of the first 9617 primes?
456,900,864.