What is the 9730th prime number?
The 9730th prime number is 101599. The next prime is 101603 (a gap of 4) and the one before is 101581.
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 9730th one is 101599.
- 2
101599 is prime because no prime up to ā101599 ā 318.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9730th prime is close to 9730 Ć ln(9730) ā 89350, and here it is 101599.
- 4
101599 has no twin: neither 101597 nor 101601 is prime.
Primes around the 9730th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9727 | 101561 | 24 |
| 9728 | 101573 | 12 |
| 9729 | 101581 | 8 |
| 9730 | 101599 | 18 |
| 9731 | 101603 | 4 |
| 9732 | 101611 | 8 |
| 9733 | 101627 | 16 |
Questions
What is the 9730th prime number?
101599.
Which prime number is 101599?
101599 is the 9730th prime number.
What is the sum of the first 9730 primes?
468,311,737.