What is the 9990th prime number?
The 9990th prime number is 104659. The next prime is 104677 (a gap of 18) and the one before is 104651.
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 9990th one is 104659.
- 2
104659 is prime because no prime up to ā104659 ā 323.51 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9990th prime is close to 9990 Ć ln(9990) ā 92001, and here it is 104659.
- 4
104659 has no twin: neither 104657 nor 104661 is prime.
Primes around the 9990th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9987 | 104623 | 26 |
| 9988 | 104639 | 16 |
| 9989 | 104651 | 12 |
| 9990 | 104659 | 8 |
| 9991 | 104677 | 18 |
| 9992 | 104681 | 4 |
| 9993 | 104683 | 2 |
Questions
What is the 9990th prime number?
104659.
Which prime number is 104659?
104659 is the 9990th prime number.
What is the sum of the first 9990 primes?
495,118,389.