What is the 9944th prime number?
The 9944th prime number is 104113. The next prime is 104119 (a gap of 6) and the one before is 104107.
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 9944th one is 104113.
- 2
104113 is prime because no prime up to ā104113 ā 322.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9944th prime is close to 9944 Ć ln(9944) ā 91532, and here it is 104113.
- 4
104113 has no twin: neither 104111 nor 104115 is prime.
Primes around the 9944th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9941 | 104087 | 28 |
| 9942 | 104089 | 2 |
| 9943 | 104107 | 18 |
| 9944 | 104113 | 6 |
| 9945 | 104119 | 6 |
| 9946 | 104123 | 4 |
| 9947 | 104147 | 24 |
Questions
What is the 9944th prime number?
104113.
Which prime number is 104113?
104113 is the 9944th prime number.
What is the sum of the first 9944 primes?
490,316,683.