What is the 7680th prime number?
The 7680th prime number is 78193. The next prime is 78203 (a gap of 10) and the one before is 78191.
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 7680th one is 78193.
- 2
78193 is prime because no prime up to ā78193 ā 279.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7680th prime is close to 7680 Ć ln(7680) ā 68708, and here it is 78193.
- 4
78193 is a twin prime: 78191 and 78193 are both prime.
Primes around the 7680th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7677 | 78173 | 6 |
| 7678 | 78179 | 6 |
| 7679 | 78191 | 12 |
| 7680 | 78193 | 2 |
| 7681 | 78203 | 10 |
| 7682 | 78229 | 26 |
| 7683 | 78233 | 4 |
Questions
What is the 7680th prime number?
78193.
Which prime number is 78193?
78193 is the 7680th prime number.
What is the sum of the first 7680 primes?
284,062,933.