What is the 9972nd prime number?
The 9972nd prime number is 104459. The next prime is 104471 (a gap of 12) and the one before is 104417.
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 9972nd one is 104459.
- 2
104459 is prime because no prime up to ā104459 ā 323.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9972nd prime is close to 9972 Ć ln(9972) ā 91818, and here it is 104459.
- 4
104459 has no twin: neither 104457 nor 104461 is prime.
Primes around the 9972nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9969 | 104393 | 10 |
| 9970 | 104399 | 6 |
| 9971 | 104417 | 18 |
| 9972 | 104459 | 42 |
| 9973 | 104471 | 12 |
| 9974 | 104473 | 2 |
| 9975 | 104479 | 6 |
Questions
What is the 9972nd prime number?
104459.
Which prime number is 104459?
104459 is the 9972nd prime number.
What is the sum of the first 9972 primes?
493,236,353.