What is the 9657th prime number?
The 9657th prime number is 100799. The next prime is 100801 (a gap of 2) and the one before is 100787.
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 9657th one is 100799.
- 2
100799 is prime because no prime up to ā100799 ā 317.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9657th prime is close to 9657 Ć ln(9657) ā 88607, and here it is 100799.
- 4
100799 is a twin prime: 100799 and 100801 are both prime.
Primes around the 9657th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9654 | 100747 | 6 |
| 9655 | 100769 | 22 |
| 9656 | 100787 | 18 |
| 9657 | 100799 | 12 |
| 9658 | 100801 | 2 |
| 9659 | 100811 | 10 |
| 9660 | 100823 | 12 |
Questions
What is the 9657th prime number?
100799.
Which prime number is 100799?
100799 is the 9657th prime number.
What is the sum of the first 9657 primes?
460,922,892.