What is the 9842nd prime number?
The 9842nd prime number is 102841. The next prime is 102859 (a gap of 18) and the one before is 102829.
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 9842nd one is 102841.
- 2
102841 is prime because no prime up to ā102841 ā 320.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9842nd prime is close to 9842 Ć ln(9842) ā 90491, and here it is 102841.
- 4
102841 has no twin: neither 102839 nor 102843 is prime.
Primes around the 9842nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9839 | 102797 | 4 |
| 9840 | 102811 | 14 |
| 9841 | 102829 | 18 |
| 9842 | 102841 | 12 |
| 9843 | 102859 | 18 |
| 9844 | 102871 | 12 |
| 9845 | 102877 | 6 |
Questions
What is the 9842nd prime number?
102841.
Which prime number is 102841?
102841 is the 9842nd prime number.
What is the sum of the first 9842 primes?
479,758,169.