What is the 9746th prime number?
The 9746th prime number is 101771. The next prime is 101789 (a gap of 18) and the one before is 101749.
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 9746th one is 101771.
- 2
101771 is prime because no prime up to ā101771 ā 319.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9746th prime is close to 9746 Ć ln(9746) ā 89513, and here it is 101771.
- 4
101771 has no twin: neither 101769 nor 101773 is prime.
Primes around the 9746th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9743 | 101741 | 4 |
| 9744 | 101747 | 6 |
| 9745 | 101749 | 2 |
| 9746 | 101771 | 22 |
| 9747 | 101789 | 18 |
| 9748 | 101797 | 8 |
| 9749 | 101807 | 10 |
Questions
What is the 9746th prime number?
101771.
Which prime number is 101771?
101771 is the 9746th prime number.
What is the sum of the first 9746 primes?
469,938,797.