What is the 9931st prime number?
The 9931st prime number is 103991. The next prime is 103993 (a gap of 2) and the one before is 103981.
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 9931st one is 103991.
- 2
103991 is prime because no prime up to ā103991 ā 322.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9931st prime is close to 9931 Ć ln(9931) ā 91399, and here it is 103991.
- 4
103991 is a twin prime: 103991 and 103993 are both prime.
Primes around the 9931st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9928 | 103969 | 2 |
| 9929 | 103979 | 10 |
| 9930 | 103981 | 2 |
| 9931 | 103991 | 10 |
| 9932 | 103993 | 2 |
| 9933 | 103997 | 4 |
| 9934 | 104003 | 6 |
Questions
What is the 9931st prime number?
103991.
Which prime number is 103991?
103991 is the 9931st prime number.
What is the sum of the first 9931 primes?
488,964,072.