What is the 9873rd prime number?
The 9873rd prime number is 103289. The next prime is 103291 (a gap of 2) and the one before is 103237.
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 9873rd one is 103289.
- 2
103289 is prime because no prime up to ā103289 ā 321.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9873rd prime is close to 9873 Ć ln(9873) ā 90808, and here it is 103289.
- 4
103289 is a twin prime: 103289 and 103291 are both prime.
Primes around the 9873rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9870 | 103217 | 34 |
| 9871 | 103231 | 14 |
| 9872 | 103237 | 6 |
| 9873 | 103289 | 52 |
| 9874 | 103291 | 2 |
| 9875 | 103307 | 16 |
| 9876 | 103319 | 12 |
Questions
What is the 9873rd prime number?
103289.
Which prime number is 103289?
103289 is the 9873rd prime number.
What is the sum of the first 9873 primes?
482,952,698.