What is the 9650th prime number?
The 9650th prime number is 100699. The next prime is 100703 (a gap of 4) and the one before is 100693.
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 9650th one is 100699.
- 2
100699 is prime because no prime up to ā100699 ā 317.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9650th prime is close to 9650 Ć ln(9650) ā 88536, and here it is 100699.
- 4
100699 has no twin: neither 100697 nor 100701 is prime.
Primes around the 9650th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9647 | 100669 | 20 |
| 9648 | 100673 | 4 |
| 9649 | 100693 | 20 |
| 9650 | 100699 | 6 |
| 9651 | 100703 | 4 |
| 9652 | 100733 | 30 |
| 9653 | 100741 | 8 |
Questions
What is the 9650th prime number?
100699.
Which prime number is 100699?
100699 is the 9650th prime number.
What is the sum of the first 9650 primes?
460,217,613.