What is the 9981st prime number?
The 9981st prime number is 104549. The next prime is 104551 (a gap of 2) and the one before is 104543.
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 9981st one is 104549.
- 2
104549 is prime because no prime up to ā104549 ā 323.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9981st prime is close to 9981 Ć ln(9981) ā 91909, and here it is 104549.
- 4
104549 is a twin prime: 104549 and 104551 are both prime.
Primes around the 9981st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9978 | 104527 | 14 |
| 9979 | 104537 | 10 |
| 9980 | 104543 | 6 |
| 9981 | 104549 | 6 |
| 9982 | 104551 | 2 |
| 9983 | 104561 | 10 |
| 9984 | 104579 | 18 |
Questions
What is the 9981st prime number?
104549.
Which prime number is 104549?
104549 is the 9981st prime number.
What is the sum of the first 9981 primes?
494,176,936.