What is the 9973rd prime number?
The 9973rd prime number is 104471. The next prime is 104473 (a gap of 2) and the one before is 104459.
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 9973rd one is 104471.
- 2
104471 is prime because no prime up to ā104471 ā 323.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9973rd prime is close to 9973 Ć ln(9973) ā 91828, and here it is 104471.
- 4
104471 is a twin prime: 104471 and 104473 are both prime.
Primes around the 9973rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9970 | 104399 | 6 |
| 9971 | 104417 | 18 |
| 9972 | 104459 | 42 |
| 9973 | 104471 | 12 |
| 9974 | 104473 | 2 |
| 9975 | 104479 | 6 |
| 9976 | 104491 | 12 |
Questions
What is the 9973rd prime number?
104471.
Which prime number is 104471?
104471 is the 9973rd prime number.
What is the sum of the first 9973 primes?
493,340,824.