What is the 9745th prime number?
The 9745th prime number is 101749. The next prime is 101771 (a gap of 22) and the one before is 101747.
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 9745th one is 101749.
- 2
101749 is prime because no prime up to ā101749 ā 318.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9745th prime is close to 9745 Ć ln(9745) ā 89503, and here it is 101749.
- 4
101749 is a twin prime: 101747 and 101749 are both prime.
Primes around the 9745th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9742 | 101737 | 14 |
| 9743 | 101741 | 4 |
| 9744 | 101747 | 6 |
| 9745 | 101749 | 2 |
| 9746 | 101771 | 22 |
| 9747 | 101789 | 18 |
| 9748 | 101797 | 8 |
Questions
What is the 9745th prime number?
101749.
Which prime number is 101749?
101749 is the 9745th prime number.
What is the sum of the first 9745 primes?
469,837,026.