What is the 9846th prime number?
The 9846th prime number is 102881. The next prime is 102911 (a gap of 30) and the one before is 102877.
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 9846th one is 102881.
- 2
102881 is prime because no prime up to ā102881 ā 320.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9846th prime is close to 9846 Ć ln(9846) ā 90532, and here it is 102881.
- 4
102881 has no twin: neither 102879 nor 102883 is prime.
Primes around the 9846th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9843 | 102859 | 18 |
| 9844 | 102871 | 12 |
| 9845 | 102877 | 6 |
| 9846 | 102881 | 4 |
| 9847 | 102911 | 30 |
| 9848 | 102913 | 2 |
| 9849 | 102929 | 16 |
Questions
What is the 9846th prime number?
102881.
Which prime number is 102881?
102881 is the 9846th prime number.
What is the sum of the first 9846 primes?
480,169,657.