What is the 9983rd prime number?
The 9983rd prime number is 104561. The next prime is 104579 (a gap of 18) and the one before is 104551.
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 9983rd one is 104561.
- 2
104561 is prime because no prime up to ā104561 ā 323.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9983rd prime is close to 9983 Ć ln(9983) ā 91930, and here it is 104561.
- 4
104561 has no twin: neither 104559 nor 104563 is prime.
Primes around the 9983rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9980 | 104543 | 6 |
| 9981 | 104549 | 6 |
| 9982 | 104551 | 2 |
| 9983 | 104561 | 10 |
| 9984 | 104579 | 18 |
| 9985 | 104593 | 14 |
| 9986 | 104597 | 4 |
Questions
What is the 9983rd prime number?
104561.
Which prime number is 104561?
104561 is the 9983rd prime number.
What is the sum of the first 9983 primes?
494,386,048.