What is the 9991st prime number?
The 9991st prime number is 104677. The next prime is 104681 (a gap of 4) and the one before is 104659.
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 9991st one is 104677.
- 2
104677 is prime because no prime up to ā104677 ā 323.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9991st prime is close to 9991 Ć ln(9991) ā 92012, and here it is 104677.
- 4
104677 has no twin: neither 104675 nor 104679 is prime.
Primes around the 9991st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9988 | 104639 | 16 |
| 9989 | 104651 | 12 |
| 9990 | 104659 | 8 |
| 9991 | 104677 | 18 |
| 9992 | 104681 | 4 |
| 9993 | 104683 | 2 |
| 9994 | 104693 | 10 |
Questions
What is the 9991st prime number?
104677.
Which prime number is 104677?
104677 is the 9991st prime number.
What is the sum of the first 9991 primes?
495,223,066.