What is the 9988th prime number?
The 9988th prime number is 104639. The next prime is 104651 (a gap of 12) and the one before is 104623.
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 9988th one is 104639.
- 2
104639 is prime because no prime up to ā104639 ā 323.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9988th prime is close to 9988 Ć ln(9988) ā 91981, and here it is 104639.
- 4
104639 has no twin: neither 104637 nor 104641 is prime.
Primes around the 9988th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9985 | 104593 | 14 |
| 9986 | 104597 | 4 |
| 9987 | 104623 | 26 |
| 9988 | 104639 | 16 |
| 9989 | 104651 | 12 |
| 9990 | 104659 | 8 |
| 9991 | 104677 | 18 |
Questions
What is the 9988th prime number?
104639.
Which prime number is 104639?
104639 is the 9988th prime number.
What is the sum of the first 9988 primes?
494,909,079.