What is the 9838th prime number?
The 9838th prime number is 102793. The next prime is 102797 (a gap of 4) and the one before is 102769.
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 9838th one is 102793.
- 2
102793 is prime because no prime up to ā102793 ā 320.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9838th prime is close to 9838 Ć ln(9838) ā 90451, and here it is 102793.
- 4
102793 has no twin: neither 102791 nor 102795 is prime.
Primes around the 9838th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9835 | 102761 | 60 |
| 9836 | 102763 | 2 |
| 9837 | 102769 | 6 |
| 9838 | 102793 | 24 |
| 9839 | 102797 | 4 |
| 9840 | 102811 | 14 |
| 9841 | 102829 | 18 |
Questions
What is the 9838th prime number?
102793.
Which prime number is 102793?
102793 is the 9838th prime number.
What is the sum of the first 9838 primes?
479,346,891.