What is the 9659th prime number?
The 9659th prime number is 100811. The next prime is 100823 (a gap of 12) and the one before is 100801.
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 9659th one is 100811.
- 2
100811 is prime because no prime up to ā100811 ā 317.51 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9659th prime is close to 9659 Ć ln(9659) ā 88628, and here it is 100811.
- 4
100811 has no twin: neither 100809 nor 100813 is prime.
Primes around the 9659th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9656 | 100787 | 18 |
| 9657 | 100799 | 12 |
| 9658 | 100801 | 2 |
| 9659 | 100811 | 10 |
| 9660 | 100823 | 12 |
| 9661 | 100829 | 6 |
| 9662 | 100847 | 18 |
Questions
What is the 9659th prime number?
100811.
Which prime number is 100811?
100811 is the 9659th prime number.
What is the sum of the first 9659 primes?
461,124,504.