What is the 9663rd prime number?
The 9663rd prime number is 100853. The next prime is 100907 (a gap of 54) and the one before is 100847.
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 9663rd one is 100853.
- 2
100853 is prime because no prime up to ā100853 ā 317.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9663rd prime is close to 9663 Ć ln(9663) ā 88668, and here it is 100853.
- 4
100853 has no twin: neither 100851 nor 100855 is prime.
Primes around the 9663rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9660 | 100823 | 12 |
| 9661 | 100829 | 6 |
| 9662 | 100847 | 18 |
| 9663 | 100853 | 6 |
| 9664 | 100907 | 54 |
| 9665 | 100913 | 6 |
| 9666 | 100927 | 14 |
Questions
What is the 9663rd prime number?
100853.
Which prime number is 100853?
100853 is the 9663rd prime number.
What is the sum of the first 9663 primes?
461,527,856.