What is the 9584th prime number?
The 9584th prime number is 99881. The next prime is 99901 (a gap of 20) and the one before is 99877.
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 9584th one is 99881.
- 2
99881 is prime because no prime up to ā99881 ā 316.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9584th prime is close to 9584 Ć ln(9584) ā 87865, and here it is 99881.
- 4
99881 has no twin: neither 99879 nor 99883 is prime.
Primes around the 9584th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9581 | 99859 | 20 |
| 9582 | 99871 | 12 |
| 9583 | 99877 | 6 |
| 9584 | 99881 | 4 |
| 9585 | 99901 | 20 |
| 9586 | 99907 | 6 |
| 9587 | 99923 | 16 |
Questions
What is the 9584th prime number?
99881.
Which prime number is 99881?
99881 is the 9584th prime number.
What is the sum of the first 9584 primes?
453,596,965.