What is the 9417th prime number?
The 9417th prime number is 97973. The next prime is 97987 (a gap of 14) and the one before is 97967.
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 9417th one is 97973.
- 2
97973 is prime because no prime up to ā97973 ā 313.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9417th prime is close to 9417 Ć ln(9417) ā 86168, and here it is 97973.
- 4
97973 has no twin: neither 97971 nor 97975 is prime.
Primes around the 9417th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9414 | 97943 | 12 |
| 9415 | 97961 | 18 |
| 9416 | 97967 | 6 |
| 9417 | 97973 | 6 |
| 9418 | 97987 | 14 |
| 9419 | 98009 | 22 |
| 9420 | 98011 | 2 |
Questions
What is the 9417th prime number?
97973.
Which prime number is 97973?
97973 is the 9417th prime number.
What is the sum of the first 9417 primes?
437,069,086.