What is the 9985th prime number?
The 9985th prime number is 104593. The next prime is 104597 (a gap of 4) and the one before is 104579.
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 9985th one is 104593.
- 2
104593 is prime because no prime up to ā104593 ā 323.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9985th prime is close to 9985 Ć ln(9985) ā 91950, and here it is 104593.
- 4
104593 has no twin: neither 104591 nor 104595 is prime.
Primes around the 9985th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9982 | 104551 | 2 |
| 9983 | 104561 | 10 |
| 9984 | 104579 | 18 |
| 9985 | 104593 | 14 |
| 9986 | 104597 | 4 |
| 9987 | 104623 | 26 |
| 9988 | 104639 | 16 |
Questions
What is the 9985th prime number?
104593.
Which prime number is 104593?
104593 is the 9985th prime number.
What is the sum of the first 9985 primes?
494,595,220.