What is the 9971st prime number?
The 9971st prime number is 104417. The next prime is 104459 (a gap of 42) and the one before is 104399.
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 9971st one is 104417.
- 2
104417 is prime because no prime up to ā104417 ā 323.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9971st prime is close to 9971 Ć ln(9971) ā 91807, and here it is 104417.
- 4
104417 has no twin: neither 104415 nor 104419 is prime.
Primes around the 9971st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9968 | 104383 | 2 |
| 9969 | 104393 | 10 |
| 9970 | 104399 | 6 |
| 9971 | 104417 | 18 |
| 9972 | 104459 | 42 |
| 9973 | 104471 | 12 |
| 9974 | 104473 | 2 |
Questions
What is the 9971st prime number?
104417.
Which prime number is 104417?
104417 is the 9971st prime number.
What is the sum of the first 9971 primes?
493,131,894.