What is the 7906th prime number?
The 7906th prime number is 80779. The next prime is 80783 (a gap of 4) and the one before is 80777.
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 7906th one is 80779.
- 2
80779 is prime because no prime up to ā80779 ā 284.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7906th prime is close to 7906 Ć ln(7906) ā 70959, and here it is 80779.
- 4
80779 is a twin prime: 80777 and 80779 are both prime.
Primes around the 7906th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7903 | 80749 | 2 |
| 7904 | 80761 | 12 |
| 7905 | 80777 | 16 |
| 7906 | 80779 | 2 |
| 7907 | 80783 | 4 |
| 7908 | 80789 | 6 |
| 7909 | 80803 | 14 |
Questions
What is the 7906th prime number?
80779.
Which prime number is 80779?
80779 is the 7906th prime number.
What is the sum of the first 7906 primes?
302,036,825.