What is the 7885th prime number?
The 7885th prime number is 80599. The next prime is 80603 (a gap of 4) and the one before is 80567.
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 7885th one is 80599.
- 2
80599 is prime because no prime up to ā80599 ā 283.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7885th prime is close to 7885 Ć ln(7885) ā 70750, and here it is 80599.
- 4
80599 has no twin: neither 80597 nor 80601 is prime.
Primes around the 7885th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7882 | 80537 | 10 |
| 7883 | 80557 | 20 |
| 7884 | 80567 | 10 |
| 7885 | 80599 | 32 |
| 7886 | 80603 | 4 |
| 7887 | 80611 | 8 |
| 7888 | 80621 | 10 |
Questions
What is the 7885th prime number?
80599.
Which prime number is 80599?
80599 is the 7885th prime number.
What is the sum of the first 7885 primes?
300,342,394.