What is the 9585th prime number?
The 9585th prime number is 99901. The next prime is 99907 (a gap of 6) and the one before is 99881.
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 9585th one is 99901.
- 2
99901 is prime because no prime up to ā99901 ā 316.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9585th prime is close to 9585 Ć ln(9585) ā 87875, and here it is 99901.
- 4
99901 has no twin: neither 99899 nor 99903 is prime.
Primes around the 9585th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9582 | 99871 | 12 |
| 9583 | 99877 | 6 |
| 9584 | 99881 | 4 |
| 9585 | 99901 | 20 |
| 9586 | 99907 | 6 |
| 9587 | 99923 | 16 |
| 9588 | 99929 | 6 |
Questions
What is the 9585th prime number?
99901.
Which prime number is 99901?
99901 is the 9585th prime number.
What is the sum of the first 9585 primes?
453,696,866.