What is the 9660th prime number?
The 9660th prime number is 100823. The next prime is 100829 (a gap of 6) and the one before is 100811.
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 9660th one is 100823.
- 2
100823 is prime because no prime up to ā100823 ā 317.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9660th prime is close to 9660 Ć ln(9660) ā 88638, and here it is 100823.
- 4
100823 has no twin: neither 100821 nor 100825 is prime.
Primes around the 9660th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9657 | 100799 | 12 |
| 9658 | 100801 | 2 |
| 9659 | 100811 | 10 |
| 9660 | 100823 | 12 |
| 9661 | 100829 | 6 |
| 9662 | 100847 | 18 |
| 9663 | 100853 | 6 |
Questions
What is the 9660th prime number?
100823.
Which prime number is 100823?
100823 is the 9660th prime number.
What is the sum of the first 9660 primes?
461,225,327.