What is the 9744th prime number?
The 9744th prime number is 101747. The next prime is 101749 (a gap of 2) and the one before is 101741.
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 9744th one is 101747.
- 2
101747 is prime because no prime up to ā101747 ā 318.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9744th prime is close to 9744 Ć ln(9744) ā 89493, and here it is 101747.
- 4
101747 is a twin prime: 101747 and 101749 are both prime.
Primes around the 9744th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9741 | 101723 | 4 |
| 9742 | 101737 | 14 |
| 9743 | 101741 | 4 |
| 9744 | 101747 | 6 |
| 9745 | 101749 | 2 |
| 9746 | 101771 | 22 |
| 9747 | 101789 | 18 |
Questions
What is the 9744th prime number?
101747.
Which prime number is 101747?
101747 is the 9744th prime number.
What is the sum of the first 9744 primes?
469,735,277.