What is the 9970th prime number?
The 9970th prime number is 104399. The next prime is 104417 (a gap of 18) and the one before is 104393.
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 9970th one is 104399.
- 2
104399 is prime because no prime up to ā104399 ā 323.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9970th prime is close to 9970 Ć ln(9970) ā 91797, and here it is 104399.
- 4
104399 has no twin: neither 104397 nor 104401 is prime.
Primes around the 9970th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9967 | 104381 | 12 |
| 9968 | 104383 | 2 |
| 9969 | 104393 | 10 |
| 9970 | 104399 | 6 |
| 9971 | 104417 | 18 |
| 9972 | 104459 | 42 |
| 9973 | 104471 | 12 |
Questions
What is the 9970th prime number?
104399.
Which prime number is 104399?
104399 is the 9970th prime number.
What is the sum of the first 9970 primes?
493,027,477.