What is the 9943rd prime number?
The 9943rd prime number is 104107. The next prime is 104113 (a gap of 6) and the one before is 104089.
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 9943rd one is 104107.
- 2
104107 is prime because no prime up to ā104107 ā 322.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9943rd prime is close to 9943 Ć ln(9943) ā 91522, and here it is 104107.
- 4
104107 has no twin: neither 104105 nor 104109 is prime.
Primes around the 9943rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9940 | 104059 | 6 |
| 9941 | 104087 | 28 |
| 9942 | 104089 | 2 |
| 9943 | 104107 | 18 |
| 9944 | 104113 | 6 |
| 9945 | 104119 | 6 |
| 9946 | 104123 | 4 |
Questions
What is the 9943rd prime number?
104107.
Which prime number is 104107?
104107 is the 9943rd prime number.
What is the sum of the first 9943 primes?
490,212,570.