What is the 9987th prime number?
The 9987th prime number is 104623. The next prime is 104639 (a gap of 16) and the one before is 104597.
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 9987th one is 104623.
- 2
104623 is prime because no prime up to ā104623 ā 323.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9987th prime is close to 9987 Ć ln(9987) ā 91971, and here it is 104623.
- 4
104623 has no twin: neither 104621 nor 104625 is prime.
Primes around the 9987th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9984 | 104579 | 18 |
| 9985 | 104593 | 14 |
| 9986 | 104597 | 4 |
| 9987 | 104623 | 26 |
| 9988 | 104639 | 16 |
| 9989 | 104651 | 12 |
| 9990 | 104659 | 8 |
Questions
What is the 9987th prime number?
104623.
Which prime number is 104623?
104623 is the 9987th prime number.
What is the sum of the first 9987 primes?
494,804,440.