What is the 7842nd prime number?
The 7842nd prime number is 80077. The next prime is 80107 (a gap of 30) and the one before is 80071.
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 7842nd one is 80077.
- 2
80077 is prime because no prime up to ā80077 ā 282.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7842nd prime is close to 7842 Ć ln(7842) ā 70321, and here it is 80077.
- 4
80077 has no twin: neither 80075 nor 80079 is prime.
Primes around the 7842nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7839 | 80039 | 18 |
| 7840 | 80051 | 12 |
| 7841 | 80071 | 20 |
| 7842 | 80077 | 6 |
| 7843 | 80107 | 30 |
| 7844 | 80111 | 4 |
| 7845 | 80141 | 30 |
Questions
What is the 7842nd prime number?
80077.
Which prime number is 80077?
80077 is the 7842nd prime number.
What is the sum of the first 7842 primes?
296,888,467.