What is the 7878th prime number?
The 7878th prime number is 80489. The next prime is 80491 (a gap of 2) and the one before is 80473.
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 7878th one is 80489.
- 2
80489 is prime because no prime up to ā80489 ā 283.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7878th prime is close to 7878 Ć ln(7878) ā 70680, and here it is 80489.
- 4
80489 is a twin prime: 80489 and 80491 are both prime.
Primes around the 7878th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7875 | 80449 | 2 |
| 7876 | 80471 | 22 |
| 7877 | 80473 | 2 |
| 7878 | 80489 | 16 |
| 7879 | 80491 | 2 |
| 7880 | 80513 | 22 |
| 7881 | 80527 | 14 |
Questions
What is the 7878th prime number?
80489.
Which prime number is 80489?
80489 is the 7878th prime number.
What is the sum of the first 7878 primes?
299,778,603.