What is the 9980th prime number?
The 9980th prime number is 104543. The next prime is 104549 (a gap of 6) and the one before is 104537.
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 9980th one is 104543.
- 2
104543 is prime because no prime up to ā104543 ā 323.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9980th prime is close to 9980 Ć ln(9980) ā 91899, and here it is 104543.
- 4
104543 has no twin: neither 104541 nor 104545 is prime.
Primes around the 9980th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9977 | 104513 | 22 |
| 9978 | 104527 | 14 |
| 9979 | 104537 | 10 |
| 9980 | 104543 | 6 |
| 9981 | 104549 | 6 |
| 9982 | 104551 | 2 |
| 9983 | 104561 | 10 |
Questions
What is the 9980th prime number?
104543.
Which prime number is 104543?
104543 is the 9980th prime number.
What is the sum of the first 9980 primes?
494,072,387.