What is the 9945th prime number?
The 9945th prime number is 104119. The next prime is 104123 (a gap of 4) and the one before is 104113.
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 9945th one is 104119.
- 2
104119 is prime because no prime up to ā104119 ā 322.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9945th prime is close to 9945 Ć ln(9945) ā 91542, and here it is 104119.
- 4
104119 has no twin: neither 104117 nor 104121 is prime.
Primes around the 9945th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9942 | 104089 | 2 |
| 9943 | 104107 | 18 |
| 9944 | 104113 | 6 |
| 9945 | 104119 | 6 |
| 9946 | 104123 | 4 |
| 9947 | 104147 | 24 |
| 9948 | 104149 | 2 |
Questions
What is the 9945th prime number?
104119.
Which prime number is 104119?
104119 is the 9945th prime number.
What is the sum of the first 9945 primes?
490,420,802.