What is the 9639th prime number?
The 9639th prime number is 100547. The next prime is 100549 (a gap of 2) and the one before is 100537.
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 9639th one is 100547.
- 2
100547 is prime because no prime up to ā100547 ā 317.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9639th prime is close to 9639 Ć ln(9639) ā 88424, and here it is 100547.
- 4
100547 is a twin prime: 100547 and 100549 are both prime.
Primes around the 9639th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9636 | 100519 | 2 |
| 9637 | 100523 | 4 |
| 9638 | 100537 | 14 |
| 9639 | 100547 | 10 |
| 9640 | 100549 | 2 |
| 9641 | 100559 | 10 |
| 9642 | 100591 | 32 |
Questions
What is the 9639th prime number?
100547.
Which prime number is 100547?
100547 is the 9639th prime number.
What is the sum of the first 9639 primes?
459,110,688.