What is the 995th prime number?
The 995th prime number is 7877. The next prime is 7879 (a gap of 2) and the one before is 7873.
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 995th one is 7877.
- 2
7877 is prime because no prime up to ā7877 ā 88.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 995th prime is close to 995 Ć ln(995) ā 6868, and here it is 7877.
- 4
7877 is a twin prime: 7877 and 7879 are both prime.
Primes around the 995th
| Position | Prime | Gap from the previous |
|---|---|---|
| 992 | 7853 | 12 |
| 993 | 7867 | 14 |
| 994 | 7873 | 6 |
| 995 | 7877 | 4 |
| 996 | 7879 | 2 |
| 997 | 7883 | 4 |
| 998 | 7901 | 18 |
Questions
What is the 995th prime number?
7877.
Which prime number is 7877?
7877 is the 995th prime number.
What is the sum of the first 995 primes?
3,643,424.