What is the 9645th prime number?
The 9645th prime number is 100621. The next prime is 100649 (a gap of 28) and the one before is 100613.
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 9645th one is 100621.
- 2
100621 is prime because no prime up to ā100621 ā 317.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9645th prime is close to 9645 Ć ln(9645) ā 88485, and here it is 100621.
- 4
100621 has no twin: neither 100619 nor 100623 is prime.
Primes around the 9645th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9642 | 100591 | 32 |
| 9643 | 100609 | 18 |
| 9644 | 100613 | 4 |
| 9645 | 100621 | 8 |
| 9646 | 100649 | 28 |
| 9647 | 100669 | 20 |
| 9648 | 100673 | 4 |
Questions
What is the 9645th prime number?
100621.
Which prime number is 100621?
100621 is the 9645th prime number.
What is the sum of the first 9645 primes?
459,714,230.