What is the 7838th prime number?
The 7838th prime number is 80021. The next prime is 80039 (a gap of 18) and the one before is 79999.
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 7838th one is 80021.
- 2
80021 is prime because no prime up to ā80021 ā 282.88 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7838th prime is close to 7838 Ć ln(7838) ā 70281, and here it is 80021.
- 4
80021 has no twin: neither 80019 nor 80023 is prime.
Primes around the 7838th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7835 | 79987 | 8 |
| 7836 | 79997 | 10 |
| 7837 | 79999 | 2 |
| 7838 | 80021 | 22 |
| 7839 | 80039 | 18 |
| 7840 | 80051 | 12 |
| 7841 | 80071 | 20 |
Questions
What is the 7838th prime number?
80021.
Which prime number is 80021?
80021 is the 7838th prime number.
What is the sum of the first 7838 primes?
296,568,229.