What is the 9974th prime number?
The 9974th prime number is 104473. The next prime is 104479 (a gap of 6) and the one before is 104471.
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 9974th one is 104473.
- 2
104473 is prime because no prime up to ā104473 ā 323.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9974th prime is close to 9974 Ć ln(9974) ā 91838, and here it is 104473.
- 4
104473 is a twin prime: 104471 and 104473 are both prime.
Primes around the 9974th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9971 | 104417 | 18 |
| 9972 | 104459 | 42 |
| 9973 | 104471 | 12 |
| 9974 | 104473 | 2 |
| 9975 | 104479 | 6 |
| 9976 | 104491 | 12 |
| 9977 | 104513 | 22 |
Questions
What is the 9974th prime number?
104473.
Which prime number is 104473?
104473 is the 9974th prime number.
What is the sum of the first 9974 primes?
493,445,297.