What is the 9989th prime number?
The 9989th prime number is 104651. The next prime is 104659 (a gap of 8) and the one before is 104639.
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 9989th one is 104651.
- 2
104651 is prime because no prime up to ā104651 ā 323.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9989th prime is close to 9989 Ć ln(9989) ā 91991, and here it is 104651.
- 4
104651 has no twin: neither 104649 nor 104653 is prime.
Primes around the 9989th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9986 | 104597 | 4 |
| 9987 | 104623 | 26 |
| 9988 | 104639 | 16 |
| 9989 | 104651 | 12 |
| 9990 | 104659 | 8 |
| 9991 | 104677 | 18 |
| 9992 | 104681 | 4 |
Questions
What is the 9989th prime number?
104651.
Which prime number is 104651?
104651 is the 9989th prime number.
What is the sum of the first 9989 primes?
495,013,730.