What is the 9662nd prime number?
The 9662nd prime number is 100847. The next prime is 100853 (a gap of 6) and the one before is 100829.
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 9662nd one is 100847.
- 2
100847 is prime because no prime up to ā100847 ā 317.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9662nd prime is close to 9662 Ć ln(9662) ā 88658, and here it is 100847.
- 4
100847 has no twin: neither 100845 nor 100849 is prime.
Primes around the 9662nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9659 | 100811 | 10 |
| 9660 | 100823 | 12 |
| 9661 | 100829 | 6 |
| 9662 | 100847 | 18 |
| 9663 | 100853 | 6 |
| 9664 | 100907 | 54 |
| 9665 | 100913 | 6 |
Questions
What is the 9662nd prime number?
100847.
Which prime number is 100847?
100847 is the 9662nd prime number.
What is the sum of the first 9662 primes?
461,427,003.