What is the 992nd prime number?
The 992nd prime number is 7853. The next prime is 7867 (a gap of 14) and the one before is 7841.
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 992nd one is 7853.
- 2
7853 is prime because no prime up to ā7853 ā 88.62 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 992nd prime is close to 992 Ć ln(992) ā 6845, and here it is 7853.
- 4
7853 has no twin: neither 7851 nor 7855 is prime.
Primes around the 992nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 989 | 7823 | 6 |
| 990 | 7829 | 6 |
| 991 | 7841 | 12 |
| 992 | 7853 | 12 |
| 993 | 7867 | 14 |
| 994 | 7873 | 6 |
| 995 | 7877 | 4 |
Questions
What is the 992nd prime number?
7853.
Which prime number is 7853?
7853 is the 992nd prime number.
What is the sum of the first 992 primes?
3,619,807.