What is the 7839th prime number?
The 7839th prime number is 80039. The next prime is 80051 (a gap of 12) and the one before is 80021.
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 7839th one is 80039.
- 2
80039 is prime because no prime up to ā80039 ā 282.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7839th prime is close to 7839 Ć ln(7839) ā 70291, and here it is 80039.
- 4
80039 has no twin: neither 80037 nor 80041 is prime.
Primes around the 7839th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7836 | 79997 | 10 |
| 7837 | 79999 | 2 |
| 7838 | 80021 | 22 |
| 7839 | 80039 | 18 |
| 7840 | 80051 | 12 |
| 7841 | 80071 | 20 |
| 7842 | 80077 | 6 |
Questions
What is the 7839th prime number?
80039.
Which prime number is 80039?
80039 is the 7839th prime number.
What is the sum of the first 7839 primes?
296,648,268.