What is the 9742nd prime number?
The 9742nd prime number is 101737. The next prime is 101741 (a gap of 4) and the one before is 101723.
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 9742nd one is 101737.
- 2
101737 is prime because no prime up to ā101737 ā 318.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9742nd prime is close to 9742 Ć ln(9742) ā 89472, and here it is 101737.
- 4
101737 has no twin: neither 101735 nor 101739 is prime.
Primes around the 9742nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9739 | 101701 | 8 |
| 9740 | 101719 | 18 |
| 9741 | 101723 | 4 |
| 9742 | 101737 | 14 |
| 9743 | 101741 | 4 |
| 9744 | 101747 | 6 |
| 9745 | 101749 | 2 |
Questions
What is the 9742nd prime number?
101737.
Which prime number is 101737?
101737 is the 9742nd prime number.
What is the sum of the first 9742 primes?
469,531,789.