What is the 7894th prime number?
The 7894th prime number is 80671. The next prime is 80677 (a gap of 6) and the one before is 80669.
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 7894th one is 80671.
- 2
80671 is prime because no prime up to ā80671 ā 284.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7894th prime is close to 7894 Ć ln(7894) ā 70840, and here it is 80671.
- 4
80671 is a twin prime: 80669 and 80671 are both prime.
Primes around the 7894th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7891 | 80651 | 22 |
| 7892 | 80657 | 6 |
| 7893 | 80669 | 12 |
| 7894 | 80671 | 2 |
| 7895 | 80677 | 6 |
| 7896 | 80681 | 4 |
| 7897 | 80683 | 2 |
Questions
What is the 7894th prime number?
80671.
Which prime number is 80671?
80671 is the 7894th prime number.
What is the sum of the first 7894 primes?
301,068,133.