What is the 9643rd prime number?
The 9643rd prime number is 100609. The next prime is 100613 (a gap of 4) and the one before is 100591.
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 9643rd one is 100609.
- 2
100609 is prime because no prime up to ā100609 ā 317.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9643rd prime is close to 9643 Ć ln(9643) ā 88465, and here it is 100609.
- 4
100609 has no twin: neither 100607 nor 100611 is prime.
Primes around the 9643rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9640 | 100549 | 2 |
| 9641 | 100559 | 10 |
| 9642 | 100591 | 32 |
| 9643 | 100609 | 18 |
| 9644 | 100613 | 4 |
| 9645 | 100621 | 8 |
| 9646 | 100649 | 28 |
Questions
What is the 9643rd prime number?
100609.
Which prime number is 100609?
100609 is the 9643rd prime number.
What is the sum of the first 9643 primes?
459,512,996.