What is the 9982nd prime number?
The 9982nd prime number is 104551. The next prime is 104561 (a gap of 10) and the one before is 104549.
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 9982nd one is 104551.
- 2
104551 is prime because no prime up to ā104551 ā 323.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9982nd prime is close to 9982 Ć ln(9982) ā 91920, and here it is 104551.
- 4
104551 is a twin prime: 104549 and 104551 are both prime.
Primes around the 9982nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9979 | 104537 | 10 |
| 9980 | 104543 | 6 |
| 9981 | 104549 | 6 |
| 9982 | 104551 | 2 |
| 9983 | 104561 | 10 |
| 9984 | 104579 | 18 |
| 9985 | 104593 | 14 |
Questions
What is the 9982nd prime number?
104551.
Which prime number is 104551?
104551 is the 9982nd prime number.
What is the sum of the first 9982 primes?
494,281,487.