What is the 9841st prime number?
The 9841st prime number is 102829. The next prime is 102841 (a gap of 12) and the one before is 102811.
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 9841st one is 102829.
- 2
102829 is prime because no prime up to ā102829 ā 320.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9841st prime is close to 9841 Ć ln(9841) ā 90481, and here it is 102829.
- 4
102829 has no twin: neither 102827 nor 102831 is prime.
Primes around the 9841st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9838 | 102793 | 24 |
| 9839 | 102797 | 4 |
| 9840 | 102811 | 14 |
| 9841 | 102829 | 18 |
| 9842 | 102841 | 12 |
| 9843 | 102859 | 18 |
| 9844 | 102871 | 12 |
Questions
What is the 9841st prime number?
102829.
Which prime number is 102829?
102829 is the 9841st prime number.
What is the sum of the first 9841 primes?
479,655,328.