What is the 7896th prime number?
The 7896th prime number is 80681. The next prime is 80683 (a gap of 2) and the one before is 80677.
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 7896th one is 80681.
- 2
80681 is prime because no prime up to ā80681 ā 284.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7896th prime is close to 7896 Ć ln(7896) ā 70860, and here it is 80681.
- 4
80681 is a twin prime: 80681 and 80683 are both prime.
Primes around the 7896th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7893 | 80669 | 12 |
| 7894 | 80671 | 2 |
| 7895 | 80677 | 6 |
| 7896 | 80681 | 4 |
| 7897 | 80683 | 2 |
| 7898 | 80687 | 4 |
| 7899 | 80701 | 14 |
Questions
What is the 7896th prime number?
80681.
Which prime number is 80681?
80681 is the 7896th prime number.
What is the sum of the first 7896 primes?
301,229,491.