What is the 9591st prime number?
The 9591st prime number is 99989. The next prime is 99991 (a gap of 2) and the one before is 99971.
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 9591st one is 99989.
- 2
99989 is prime because no prime up to ā99989 ā 316.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9591st prime is close to 9591 Ć ln(9591) ā 87936, and here it is 99989.
- 4
99989 is a twin prime: 99989 and 99991 are both prime.
Primes around the 9591st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9588 | 99929 | 6 |
| 9589 | 99961 | 32 |
| 9590 | 99971 | 10 |
| 9591 | 99989 | 18 |
| 9592 | 99991 | 2 |
| 9593 | 100003 | 12 |
| 9594 | 100019 | 16 |
Questions
What is the 9591st prime number?
99989.
Which prime number is 99989?
99989 is the 9591st prime number.
What is the sum of the first 9591 primes?
454,296,546.