What is the 7881st prime number?
The 7881st prime number is 80527. The next prime is 80537 (a gap of 10) and the one before is 80513.
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 7881st one is 80527.
- 2
80527 is prime because no prime up to ā80527 ā 283.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7881st prime is close to 7881 Ć ln(7881) ā 70710, and here it is 80527.
- 4
80527 has no twin: neither 80525 nor 80529 is prime.
Primes around the 7881st
| Position | Prime | Gap from the previous |
|---|---|---|
| 7878 | 80489 | 16 |
| 7879 | 80491 | 2 |
| 7880 | 80513 | 22 |
| 7881 | 80527 | 14 |
| 7882 | 80537 | 10 |
| 7883 | 80557 | 20 |
| 7884 | 80567 | 10 |
Questions
What is the 7881st prime number?
80527.
Which prime number is 80527?
80527 is the 7881st prime number.
What is the sum of the first 7881 primes?
300,020,134.