What is the 9648th prime number?
The 9648th prime number is 100673. The next prime is 100693 (a gap of 20) and the one before is 100669.
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 9648th one is 100673.
- 2
100673 is prime because no prime up to ā100673 ā 317.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9648th prime is close to 9648 Ć ln(9648) ā 88516, and here it is 100673.
- 4
100673 has no twin: neither 100671 nor 100675 is prime.
Primes around the 9648th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9645 | 100621 | 8 |
| 9646 | 100649 | 28 |
| 9647 | 100669 | 20 |
| 9648 | 100673 | 4 |
| 9649 | 100693 | 20 |
| 9650 | 100699 | 6 |
| 9651 | 100703 | 4 |
Questions
What is the 9648th prime number?
100673.
Which prime number is 100673?
100673 is the 9648th prime number.
What is the sum of the first 9648 primes?
460,016,221.