What is the 9731st prime number?
The 9731st prime number is 101603. The next prime is 101611 (a gap of 8) and the one before is 101599.
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 9731st one is 101603.
- 2
101603 is prime because no prime up to ā101603 ā 318.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9731st prime is close to 9731 Ć ln(9731) ā 89360, and here it is 101603.
- 4
101603 has no twin: neither 101601 nor 101605 is prime.
Primes around the 9731st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9728 | 101573 | 12 |
| 9729 | 101581 | 8 |
| 9730 | 101599 | 18 |
| 9731 | 101603 | 4 |
| 9732 | 101611 | 8 |
| 9733 | 101627 | 16 |
| 9734 | 101641 | 14 |
Questions
What is the 9731st prime number?
101603.
Which prime number is 101603?
101603 is the 9731st prime number.
What is the sum of the first 9731 primes?
468,413,340.