What is the 9946th prime number?
The 9946th prime number is 104123. The next prime is 104147 (a gap of 24) and the one before is 104119.
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 9946th one is 104123.
- 2
104123 is prime because no prime up to ā104123 ā 322.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9946th prime is close to 9946 Ć ln(9946) ā 91552, and here it is 104123.
- 4
104123 has no twin: neither 104121 nor 104125 is prime.
Primes around the 9946th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9943 | 104107 | 18 |
| 9944 | 104113 | 6 |
| 9945 | 104119 | 6 |
| 9946 | 104123 | 4 |
| 9947 | 104147 | 24 |
| 9948 | 104149 | 2 |
| 9949 | 104161 | 12 |
Questions
What is the 9946th prime number?
104123.
Which prime number is 104123?
104123 is the 9946th prime number.
What is the sum of the first 9946 primes?
490,524,925.