What is the 9743rd prime number?
The 9743rd prime number is 101741. The next prime is 101747 (a gap of 6) and the one before is 101737.
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 9743rd one is 101741.
- 2
101741 is prime because no prime up to ā101741 ā 318.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9743rd prime is close to 9743 Ć ln(9743) ā 89483, and here it is 101741.
- 4
101741 has no twin: neither 101739 nor 101743 is prime.
Primes around the 9743rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9740 | 101719 | 18 |
| 9741 | 101723 | 4 |
| 9742 | 101737 | 14 |
| 9743 | 101741 | 4 |
| 9744 | 101747 | 6 |
| 9745 | 101749 | 2 |
| 9746 | 101771 | 22 |
Questions
What is the 9743rd prime number?
101741.
Which prime number is 101741?
101741 is the 9743rd prime number.
What is the sum of the first 9743 primes?
469,633,530.