What is the 9687th prime number?
The 9687th prime number is 101149. The next prime is 101159 (a gap of 10) and the one before is 101141.
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 9687th one is 101149.
- 2
101149 is prime because no prime up to ā101149 ā 318.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9687th prime is close to 9687 Ć ln(9687) ā 88913, and here it is 101149.
- 4
101149 has no twin: neither 101147 nor 101151 is prime.
Primes around the 9687th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9684 | 101117 | 4 |
| 9685 | 101119 | 2 |
| 9686 | 101141 | 22 |
| 9687 | 101149 | 8 |
| 9688 | 101159 | 10 |
| 9689 | 101161 | 2 |
| 9690 | 101173 | 12 |
Questions
What is the 9687th prime number?
101149.
Which prime number is 101149?
101149 is the 9687th prime number.
What is the sum of the first 9687 primes?
463,952,536.