What is the 9686th prime number?
The 9686th prime number is 101141. The next prime is 101149 (a gap of 8) and the one before is 101119.
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 9686th one is 101141.
- 2
101141 is prime because no prime up to ā101141 ā 318.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9686th prime is close to 9686 Ć ln(9686) ā 88902, and here it is 101141.
- 4
101141 has no twin: neither 101139 nor 101143 is prime.
Primes around the 9686th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9683 | 101113 | 2 |
| 9684 | 101117 | 4 |
| 9685 | 101119 | 2 |
| 9686 | 101141 | 22 |
| 9687 | 101149 | 8 |
| 9688 | 101159 | 10 |
| 9689 | 101161 | 2 |
Questions
What is the 9686th prime number?
101141.
Which prime number is 101141?
101141 is the 9686th prime number.
What is the sum of the first 9686 primes?
463,851,387.