What is the 9587th prime number?
The 9587th prime number is 99923. The next prime is 99929 (a gap of 6) and the one before is 99907.
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 9587th one is 99923.
- 2
99923 is prime because no prime up to ā99923 ā 316.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9587th prime is close to 9587 Ć ln(9587) ā 87895, and here it is 99923.
- 4
99923 has no twin: neither 99921 nor 99925 is prime.
Primes around the 9587th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9584 | 99881 | 4 |
| 9585 | 99901 | 20 |
| 9586 | 99907 | 6 |
| 9587 | 99923 | 16 |
| 9588 | 99929 | 6 |
| 9589 | 99961 | 32 |
| 9590 | 99971 | 10 |
Questions
What is the 9587th prime number?
99923.
Which prime number is 99923?
99923 is the 9587th prime number.
What is the sum of the first 9587 primes?
453,896,696.