What is the 9840th prime number?
The 9840th prime number is 102811. The next prime is 102829 (a gap of 18) and the one before is 102797.
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 9840th one is 102811.
- 2
102811 is prime because no prime up to ā102811 ā 320.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9840th prime is close to 9840 Ć ln(9840) ā 90471, and here it is 102811.
- 4
102811 has no twin: neither 102809 nor 102813 is prime.
Primes around the 9840th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9837 | 102769 | 6 |
| 9838 | 102793 | 24 |
| 9839 | 102797 | 4 |
| 9840 | 102811 | 14 |
| 9841 | 102829 | 18 |
| 9842 | 102841 | 12 |
| 9843 | 102859 | 18 |
Questions
What is the 9840th prime number?
102811.
Which prime number is 102811?
102811 is the 9840th prime number.
What is the sum of the first 9840 primes?
479,552,499.