What is the 7897th prime number?
The 7897th prime number is 80683. The next prime is 80687 (a gap of 4) and the one before is 80681.
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 7897th one is 80683.
- 2
80683 is prime because no prime up to ā80683 ā 284.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7897th prime is close to 7897 Ć ln(7897) ā 70870, and here it is 80683.
- 4
80683 is a twin prime: 80681 and 80683 are both prime.
Primes around the 7897th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7894 | 80671 | 2 |
| 7895 | 80677 | 6 |
| 7896 | 80681 | 4 |
| 7897 | 80683 | 2 |
| 7898 | 80687 | 4 |
| 7899 | 80701 | 14 |
| 7900 | 80713 | 12 |
Questions
What is the 7897th prime number?
80683.
Which prime number is 80683?
80683 is the 7897th prime number.
What is the sum of the first 7897 primes?
301,310,174.