What is the 9658th prime number?
The 9658th prime number is 100801. The next prime is 100811 (a gap of 10) and the one before is 100799.
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 9658th one is 100801.
- 2
100801 is prime because no prime up to ā100801 ā 317.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9658th prime is close to 9658 Ć ln(9658) ā 88617, and here it is 100801.
- 4
100801 is a twin prime: 100799 and 100801 are both prime.
Primes around the 9658th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9655 | 100769 | 22 |
| 9656 | 100787 | 18 |
| 9657 | 100799 | 12 |
| 9658 | 100801 | 2 |
| 9659 | 100811 | 10 |
| 9660 | 100823 | 12 |
| 9661 | 100829 | 6 |
Questions
What is the 9658th prime number?
100801.
Which prime number is 100801?
100801 is the 9658th prime number.
What is the sum of the first 9658 primes?
461,023,693.