What is the 7883rd prime number?
The 7883rd prime number is 80557. The next prime is 80567 (a gap of 10) and the one before is 80537.
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 7883rd one is 80557.
- 2
80557 is prime because no prime up to ā80557 ā 283.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7883rd prime is close to 7883 Ć ln(7883) ā 70730, and here it is 80557.
- 4
80557 has no twin: neither 80555 nor 80559 is prime.
Primes around the 7883rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7880 | 80513 | 22 |
| 7881 | 80527 | 14 |
| 7882 | 80537 | 10 |
| 7883 | 80557 | 20 |
| 7884 | 80567 | 10 |
| 7885 | 80599 | 32 |
| 7886 | 80603 | 4 |
Questions
What is the 7883rd prime number?
80557.
Which prime number is 80557?
80557 is the 7883rd prime number.
What is the sum of the first 7883 primes?
300,181,228.