What is the 7893rd prime number?
The 7893rd prime number is 80669. The next prime is 80671 (a gap of 2) and the one before is 80657.
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 7893rd one is 80669.
- 2
80669 is prime because no prime up to ā80669 ā 284.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7893rd prime is close to 7893 Ć ln(7893) ā 70830, and here it is 80669.
- 4
80669 is a twin prime: 80669 and 80671 are both prime.
Primes around the 7893rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7890 | 80629 | 2 |
| 7891 | 80651 | 22 |
| 7892 | 80657 | 6 |
| 7893 | 80669 | 12 |
| 7894 | 80671 | 2 |
| 7895 | 80677 | 6 |
| 7896 | 80681 | 4 |
Questions
What is the 7893rd prime number?
80669.
Which prime number is 80669?
80669 is the 7893rd prime number.
What is the sum of the first 7893 primes?
300,987,462.