What is the 9641st prime number?
The 9641st prime number is 100559. The next prime is 100591 (a gap of 32) and the one before is 100549.
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 9641st one is 100559.
- 2
100559 is prime because no prime up to ā100559 ā 317.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9641st prime is close to 9641 Ć ln(9641) ā 88444, and here it is 100559.
- 4
100559 has no twin: neither 100557 nor 100561 is prime.
Primes around the 9641st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9638 | 100537 | 14 |
| 9639 | 100547 | 10 |
| 9640 | 100549 | 2 |
| 9641 | 100559 | 10 |
| 9642 | 100591 | 32 |
| 9643 | 100609 | 18 |
| 9644 | 100613 | 4 |
Questions
What is the 9641st prime number?
100559.
Which prime number is 100559?
100559 is the 9641st prime number.
What is the sum of the first 9641 primes?
459,311,796.