What is the 7882nd prime number?
The 7882nd prime number is 80537. The next prime is 80557 (a gap of 20) and the one before is 80527.
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 7882nd one is 80537.
- 2
80537 is prime because no prime up to ā80537 ā 283.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7882nd prime is close to 7882 Ć ln(7882) ā 70720, and here it is 80537.
- 4
80537 has no twin: neither 80535 nor 80539 is prime.
Primes around the 7882nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7879 | 80491 | 2 |
| 7880 | 80513 | 22 |
| 7881 | 80527 | 14 |
| 7882 | 80537 | 10 |
| 7883 | 80557 | 20 |
| 7884 | 80567 | 10 |
| 7885 | 80599 | 32 |
Questions
What is the 7882nd prime number?
80537.
Which prime number is 80537?
80537 is the 7882nd prime number.
What is the sum of the first 7882 primes?
300,100,671.