What is the 996th prime number?
The 996th prime number is 7879. The next prime is 7883 (a gap of 4) and the one before is 7877.
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 996th one is 7879.
- 2
7879 is prime because no prime up to ā7879 ā 88.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 996th prime is close to 996 Ć ln(996) ā 6876, and here it is 7879.
- 4
7879 is a twin prime: 7877 and 7879 are both prime.
Primes around the 996th
| Position | Prime | Gap from the previous |
|---|---|---|
| 993 | 7867 | 14 |
| 994 | 7873 | 6 |
| 995 | 7877 | 4 |
| 996 | 7879 | 2 |
| 997 | 7883 | 4 |
| 998 | 7901 | 18 |
| 999 | 7907 | 6 |
Questions
What is the 996th prime number?
7879.
Which prime number is 7879?
7879 is the 996th prime number.
What is the sum of the first 996 primes?
3,651,303.