What is the 9747th prime number?
The 9747th prime number is 101789. The next prime is 101797 (a gap of 8) and the one before is 101771.
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 9747th one is 101789.
- 2
101789 is prime because no prime up to ā101789 ā 319.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9747th prime is close to 9747 Ć ln(9747) ā 89523, and here it is 101789.
- 4
101789 has no twin: neither 101787 nor 101791 is prime.
Primes around the 9747th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9744 | 101747 | 6 |
| 9745 | 101749 | 2 |
| 9746 | 101771 | 22 |
| 9747 | 101789 | 18 |
| 9748 | 101797 | 8 |
| 9749 | 101807 | 10 |
| 9750 | 101833 | 26 |
Questions
What is the 9747th prime number?
101789.
Which prime number is 101789?
101789 is the 9747th prime number.
What is the sum of the first 9747 primes?
470,040,586.