What is the 9845th prime number?
The 9845th prime number is 102877. The next prime is 102881 (a gap of 4) and the one before is 102871.
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 9845th one is 102877.
- 2
102877 is prime because no prime up to ā102877 ā 320.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9845th prime is close to 9845 Ć ln(9845) ā 90522, and here it is 102877.
- 4
102877 has no twin: neither 102875 nor 102879 is prime.
Primes around the 9845th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9842 | 102841 | 12 |
| 9843 | 102859 | 18 |
| 9844 | 102871 | 12 |
| 9845 | 102877 | 6 |
| 9846 | 102881 | 4 |
| 9847 | 102911 | 30 |
| 9848 | 102913 | 2 |
Questions
What is the 9845th prime number?
102877.
Which prime number is 102877?
102877 is the 9845th prime number.
What is the sum of the first 9845 primes?
480,066,776.