What is the 9844th prime number?
The 9844th prime number is 102871. The next prime is 102877 (a gap of 6) and the one before is 102859.
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 9844th one is 102871.
- 2
102871 is prime because no prime up to ā102871 ā 320.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9844th prime is close to 9844 Ć ln(9844) ā 90512, and here it is 102871.
- 4
102871 has no twin: neither 102869 nor 102873 is prime.
Primes around the 9844th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9841 | 102829 | 18 |
| 9842 | 102841 | 12 |
| 9843 | 102859 | 18 |
| 9844 | 102871 | 12 |
| 9845 | 102877 | 6 |
| 9846 | 102881 | 4 |
| 9847 | 102911 | 30 |
Questions
What is the 9844th prime number?
102871.
Which prime number is 102871?
102871 is the 9844th prime number.
What is the sum of the first 9844 primes?
479,963,899.