What is the 997th prime number?
The 997th prime number is 7883. The next prime is 7901 (a gap of 18) and the one before is 7879.
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 997th one is 7883.
- 2
7883 is prime because no prime up to ā7883 ā 88.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 997th prime is close to 997 Ć ln(997) ā 6884, and here it is 7883.
- 4
7883 has no twin: neither 7881 nor 7885 is prime.
Primes around the 997th
| Position | Prime | Gap from the previous |
|---|---|---|
| 994 | 7873 | 6 |
| 995 | 7877 | 4 |
| 996 | 7879 | 2 |
| 997 | 7883 | 4 |
| 998 | 7901 | 18 |
| 999 | 7907 | 6 |
| 1000 | 7919 | 12 |
Questions
What is the 997th prime number?
7883.
Which prime number is 7883?
7883 is the 997th prime number.
What is the sum of the first 997 primes?
3,659,186.