What is the 9647th prime number?
The 9647th prime number is 100669. The next prime is 100673 (a gap of 4) and the one before is 100649.
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 9647th one is 100669.
- 2
100669 is prime because no prime up to ā100669 ā 317.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9647th prime is close to 9647 Ć ln(9647) ā 88505, and here it is 100669.
- 4
100669 has no twin: neither 100667 nor 100671 is prime.
Primes around the 9647th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9644 | 100613 | 4 |
| 9645 | 100621 | 8 |
| 9646 | 100649 | 28 |
| 9647 | 100669 | 20 |
| 9648 | 100673 | 4 |
| 9649 | 100693 | 20 |
| 9650 | 100699 | 6 |
Questions
What is the 9647th prime number?
100669.
Which prime number is 100669?
100669 is the 9647th prime number.
What is the sum of the first 9647 primes?
459,915,548.