What is the 9589th prime number?
The 9589th prime number is 99961. The next prime is 99971 (a gap of 10) and the one before is 99929.
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 9589th one is 99961.
- 2
99961 is prime because no prime up to ā99961 ā 316.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9589th prime is close to 9589 Ć ln(9589) ā 87916, and here it is 99961.
- 4
99961 has no twin: neither 99959 nor 99963 is prime.
Primes around the 9589th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9586 | 99907 | 6 |
| 9587 | 99923 | 16 |
| 9588 | 99929 | 6 |
| 9589 | 99961 | 32 |
| 9590 | 99971 | 10 |
| 9591 | 99989 | 18 |
| 9592 | 99991 | 2 |
Questions
What is the 9589th prime number?
99961.
Which prime number is 99961?
99961 is the 9589th prime number.
What is the sum of the first 9589 primes?
454,096,586.