What is the 9592nd prime number?
The 9592nd prime number is 99991. The next prime is 100003 (a gap of 12) and the one before is 99989.
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 9592nd one is 99991.
- 2
99991 is prime because no prime up to ā99991 ā 316.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9592nd prime is close to 9592 Ć ln(9592) ā 87946, and here it is 99991.
- 4
99991 is a twin prime: 99989 and 99991 are both prime.
Primes around the 9592nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9589 | 99961 | 32 |
| 9590 | 99971 | 10 |
| 9591 | 99989 | 18 |
| 9592 | 99991 | 2 |
| 9593 | 100003 | 12 |
| 9594 | 100019 | 16 |
| 9595 | 100043 | 24 |
Questions
What is the 9592nd prime number?
99991.
Which prime number is 99991?
99991 is the 9592nd prime number.
What is the sum of the first 9592 primes?
454,396,537.