What is the 9306th prime number?
The 9306th prime number is 96667. The next prime is 96671 (a gap of 4) and the one before is 96661.
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 9306th one is 96667.
- 2
96667 is prime because no prime up to ā96667 ā 310.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9306th prime is close to 9306 Ć ln(9306) ā 85042, and here it is 96667.
- 4
96667 has no twin: neither 96665 nor 96669 is prime.
Primes around the 9306th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9303 | 96601 | 12 |
| 9304 | 96643 | 42 |
| 9305 | 96661 | 18 |
| 9306 | 96667 | 6 |
| 9307 | 96671 | 4 |
| 9308 | 96697 | 26 |
| 9309 | 96703 | 6 |
Questions
What is the 9306th prime number?
96667.
Which prime number is 96667?
96667 is the 9306th prime number.
What is the sum of the first 9306 primes?
426,266,265.