What is the 7879th prime number?
The 7879th prime number is 80491. The next prime is 80513 (a gap of 22) and the one before is 80489.
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 7879th one is 80491.
- 2
80491 is prime because no prime up to ā80491 ā 283.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7879th prime is close to 7879 Ć ln(7879) ā 70690, and here it is 80491.
- 4
80491 is a twin prime: 80489 and 80491 are both prime.
Primes around the 7879th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7876 | 80471 | 22 |
| 7877 | 80473 | 2 |
| 7878 | 80489 | 16 |
| 7879 | 80491 | 2 |
| 7880 | 80513 | 22 |
| 7881 | 80527 | 14 |
| 7882 | 80537 | 10 |
Questions
What is the 7879th prime number?
80491.
Which prime number is 80491?
80491 is the 7879th prime number.
What is the sum of the first 7879 primes?
299,859,094.