What is the 9644th prime number?
The 9644th prime number is 100613. The next prime is 100621 (a gap of 8) and the one before is 100609.
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 9644th one is 100613.
- 2
100613 is prime because no prime up to ā100613 ā 317.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9644th prime is close to 9644 Ć ln(9644) ā 88475, and here it is 100613.
- 4
100613 has no twin: neither 100611 nor 100615 is prime.
Primes around the 9644th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9641 | 100559 | 10 |
| 9642 | 100591 | 32 |
| 9643 | 100609 | 18 |
| 9644 | 100613 | 4 |
| 9645 | 100621 | 8 |
| 9646 | 100649 | 28 |
| 9647 | 100669 | 20 |
Questions
What is the 9644th prime number?
100613.
Which prime number is 100613?
100613 is the 9644th prime number.
What is the sum of the first 9644 primes?
459,613,609.