What is the 9740th prime number?
The 9740th prime number is 101719. The next prime is 101723 (a gap of 4) and the one before is 101701.
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 9740th one is 101719.
- 2
101719 is prime because no prime up to ā101719 ā 318.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9740th prime is close to 9740 Ć ln(9740) ā 89452, and here it is 101719.
- 4
101719 has no twin: neither 101717 nor 101721 is prime.
Primes around the 9740th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9737 | 101681 | 18 |
| 9738 | 101693 | 12 |
| 9739 | 101701 | 8 |
| 9740 | 101719 | 18 |
| 9741 | 101723 | 4 |
| 9742 | 101737 | 14 |
| 9743 | 101741 | 4 |
Questions
What is the 9740th prime number?
101719.
Which prime number is 101719?
101719 is the 9740th prime number.
What is the sum of the first 9740 primes?
469,328,329.