What is the 9664th prime number?
The 9664th prime number is 100907. The next prime is 100913 (a gap of 6) and the one before is 100853.
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 9664th one is 100907.
- 2
100907 is prime because no prime up to ā100907 ā 317.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9664th prime is close to 9664 Ć ln(9664) ā 88678, and here it is 100907.
- 4
100907 has no twin: neither 100905 nor 100909 is prime.
Primes around the 9664th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9661 | 100829 | 6 |
| 9662 | 100847 | 18 |
| 9663 | 100853 | 6 |
| 9664 | 100907 | 54 |
| 9665 | 100913 | 6 |
| 9666 | 100927 | 14 |
| 9667 | 100931 | 4 |
Questions
What is the 9664th prime number?
100907.
Which prime number is 100907?
100907 is the 9664th prime number.
What is the sum of the first 9664 primes?
461,628,763.