What is the 7880th prime number?
The 7880th prime number is 80513. The next prime is 80527 (a gap of 14) and the one before is 80491.
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 7880th one is 80513.
- 2
80513 is prime because no prime up to ā80513 ā 283.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7880th prime is close to 7880 Ć ln(7880) ā 70700, and here it is 80513.
- 4
80513 has no twin: neither 80511 nor 80515 is prime.
Primes around the 7880th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7877 | 80473 | 2 |
| 7878 | 80489 | 16 |
| 7879 | 80491 | 2 |
| 7880 | 80513 | 22 |
| 7881 | 80527 | 14 |
| 7882 | 80537 | 10 |
| 7883 | 80557 | 20 |
Questions
What is the 7880th prime number?
80513.
Which prime number is 80513?
80513 is the 7880th prime number.
What is the sum of the first 7880 primes?
299,939,607.