What is the 7840th prime number?
The 7840th prime number is 80051. The next prime is 80071 (a gap of 20) and the one before is 80039.
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 7840th one is 80051.
- 2
80051 is prime because no prime up to ā80051 ā 282.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7840th prime is close to 7840 Ć ln(7840) ā 70301, and here it is 80051.
- 4
80051 has no twin: neither 80049 nor 80053 is prime.
Primes around the 7840th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7837 | 79999 | 2 |
| 7838 | 80021 | 22 |
| 7839 | 80039 | 18 |
| 7840 | 80051 | 12 |
| 7841 | 80071 | 20 |
| 7842 | 80077 | 6 |
| 7843 | 80107 | 30 |
Questions
What is the 7840th prime number?
80051.
Which prime number is 80051?
80051 is the 7840th prime number.
What is the sum of the first 7840 primes?
296,728,319.