What is the 7982nd prime number?
The 7982nd prime number is 81619. The next prime is 81629 (a gap of 10) and the one before is 81611.
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 7982nd one is 81619.
- 2
81619 is prime because no prime up to ā81619 ā 285.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7982nd prime is close to 7982 Ć ln(7982) ā 71718, and here it is 81619.
- 4
81619 has no twin: neither 81617 nor 81621 is prime.
Primes around the 7982nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7979 | 81563 | 4 |
| 7980 | 81569 | 6 |
| 7981 | 81611 | 42 |
| 7982 | 81619 | 8 |
| 7983 | 81629 | 10 |
| 7984 | 81637 | 8 |
| 7985 | 81647 | 10 |
Questions
What is the 7982nd prime number?
81619.
Which prime number is 81619?
81619 is the 7982nd prime number.
What is the sum of the first 7982 primes?
308,206,649.