What is the 7841st prime number?
The 7841st prime number is 80071. The next prime is 80077 (a gap of 6) and the one before is 80051.
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 7841st one is 80071.
- 2
80071 is prime because no prime up to ā80071 ā 282.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7841st prime is close to 7841 Ć ln(7841) ā 70311, and here it is 80071.
- 4
80071 has no twin: neither 80069 nor 80073 is prime.
Primes around the 7841st
| Position | Prime | Gap from the previous |
|---|---|---|
| 7838 | 80021 | 22 |
| 7839 | 80039 | 18 |
| 7840 | 80051 | 12 |
| 7841 | 80071 | 20 |
| 7842 | 80077 | 6 |
| 7843 | 80107 | 30 |
| 7844 | 80111 | 4 |
Questions
What is the 7841st prime number?
80071.
Which prime number is 80071?
80071 is the 7841st prime number.
What is the sum of the first 7841 primes?
296,808,390.