What is the 9640th prime number?
The 9640th prime number is 100549. The next prime is 100559 (a gap of 10) and the one before is 100547.
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 9640th one is 100549.
- 2
100549 is prime because no prime up to ā100549 ā 317.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9640th prime is close to 9640 Ć ln(9640) ā 88434, and here it is 100549.
- 4
100549 is a twin prime: 100547 and 100549 are both prime.
Primes around the 9640th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9637 | 100523 | 4 |
| 9638 | 100537 | 14 |
| 9639 | 100547 | 10 |
| 9640 | 100549 | 2 |
| 9641 | 100559 | 10 |
| 9642 | 100591 | 32 |
| 9643 | 100609 | 18 |
Questions
What is the 9640th prime number?
100549.
Which prime number is 100549?
100549 is the 9640th prime number.
What is the sum of the first 9640 primes?
459,211,237.