What is the 9986th prime number?
The 9986th prime number is 104597. The next prime is 104623 (a gap of 26) and the one before is 104593.
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 9986th one is 104597.
- 2
104597 is prime because no prime up to ā104597 ā 323.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9986th prime is close to 9986 Ć ln(9986) ā 91960, and here it is 104597.
- 4
104597 has no twin: neither 104595 nor 104599 is prime.
Primes around the 9986th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9983 | 104561 | 10 |
| 9984 | 104579 | 18 |
| 9985 | 104593 | 14 |
| 9986 | 104597 | 4 |
| 9987 | 104623 | 26 |
| 9988 | 104639 | 16 |
| 9989 | 104651 | 12 |
Questions
What is the 9986th prime number?
104597.
Which prime number is 104597?
104597 is the 9986th prime number.
What is the sum of the first 9986 primes?
494,699,817.