What is the 9646th prime number?
The 9646th prime number is 100649. The next prime is 100669 (a gap of 20) and the one before is 100621.
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 9646th one is 100649.
- 2
100649 is prime because no prime up to ā100649 ā 317.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9646th prime is close to 9646 Ć ln(9646) ā 88495, and here it is 100649.
- 4
100649 has no twin: neither 100647 nor 100651 is prime.
Primes around the 9646th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9643 | 100609 | 18 |
| 9644 | 100613 | 4 |
| 9645 | 100621 | 8 |
| 9646 | 100649 | 28 |
| 9647 | 100669 | 20 |
| 9648 | 100673 | 4 |
| 9649 | 100693 | 20 |
Questions
What is the 9646th prime number?
100649.
Which prime number is 100649?
100649 is the 9646th prime number.
What is the sum of the first 9646 primes?
459,814,879.