What is the 9741st prime number?
The 9741st prime number is 101723. The next prime is 101737 (a gap of 14) and the one before is 101719.
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 9741st one is 101723.
- 2
101723 is prime because no prime up to ā101723 ā 318.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9741st prime is close to 9741 Ć ln(9741) ā 89462, and here it is 101723.
- 4
101723 has no twin: neither 101721 nor 101725 is prime.
Primes around the 9741st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9738 | 101693 | 12 |
| 9739 | 101701 | 8 |
| 9740 | 101719 | 18 |
| 9741 | 101723 | 4 |
| 9742 | 101737 | 14 |
| 9743 | 101741 | 4 |
| 9744 | 101747 | 6 |
Questions
What is the 9741st prime number?
101723.
Which prime number is 101723?
101723 is the 9741st prime number.
What is the sum of the first 9741 primes?
469,430,052.