What is the 994th prime number?
The 994th prime number is 7873. The next prime is 7877 (a gap of 4) and the one before is 7867.
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 994th one is 7873.
- 2
7873 is prime because no prime up to ā7873 ā 88.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 994th prime is close to 994 Ć ln(994) ā 6860, and here it is 7873.
- 4
7873 has no twin: neither 7871 nor 7875 is prime.
Primes around the 994th
| Position | Prime | Gap from the previous |
|---|---|---|
| 991 | 7841 | 12 |
| 992 | 7853 | 12 |
| 993 | 7867 | 14 |
| 994 | 7873 | 6 |
| 995 | 7877 | 4 |
| 996 | 7879 | 2 |
| 997 | 7883 | 4 |
Questions
What is the 994th prime number?
7873.
Which prime number is 7873?
7873 is the 994th prime number.
What is the sum of the first 994 primes?
3,635,547.