What is the 9839th prime number?
The 9839th prime number is 102797. The next prime is 102811 (a gap of 14) and the one before is 102793.
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 9839th one is 102797.
- 2
102797 is prime because no prime up to ā102797 ā 320.62 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9839th prime is close to 9839 Ć ln(9839) ā 90461, and here it is 102797.
- 4
102797 has no twin: neither 102795 nor 102799 is prime.
Primes around the 9839th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9836 | 102763 | 2 |
| 9837 | 102769 | 6 |
| 9838 | 102793 | 24 |
| 9839 | 102797 | 4 |
| 9840 | 102811 | 14 |
| 9841 | 102829 | 18 |
| 9842 | 102841 | 12 |
Questions
What is the 9839th prime number?
102797.
Which prime number is 102797?
102797 is the 9839th prime number.
What is the sum of the first 9839 primes?
479,449,688.