What is the 9416th prime number?
The 9416th prime number is 97967. The next prime is 97973 (a gap of 6) and the one before is 97961.
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 9416th one is 97967.
- 2
97967 is prime because no prime up to ā97967 ā 313.00 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9416th prime is close to 9416 Ć ln(9416) ā 86158, and here it is 97967.
- 4
97967 has no twin: neither 97965 nor 97969 is prime.
Primes around the 9416th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9413 | 97931 | 4 |
| 9414 | 97943 | 12 |
| 9415 | 97961 | 18 |
| 9416 | 97967 | 6 |
| 9417 | 97973 | 6 |
| 9418 | 97987 | 14 |
| 9419 | 98009 | 22 |
Questions
What is the 9416th prime number?
97967.
Which prime number is 97967?
97967 is the 9416th prime number.
What is the sum of the first 9416 primes?
436,971,113.