What is the 9418th prime number?
The 9418th prime number is 97987. The next prime is 98009 (a gap of 22) and the one before is 97973.
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 9418th one is 97987.
- 2
97987 is prime because no prime up to ā97987 ā 313.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9418th prime is close to 9418 Ć ln(9418) ā 86178, and here it is 97987.
- 4
97987 has no twin: neither 97985 nor 97989 is prime.
Primes around the 9418th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9415 | 97961 | 18 |
| 9416 | 97967 | 6 |
| 9417 | 97973 | 6 |
| 9418 | 97987 | 14 |
| 9419 | 98009 | 22 |
| 9420 | 98011 | 2 |
| 9421 | 98017 | 6 |
Questions
What is the 9418th prime number?
97987.
Which prime number is 97987?
97987 is the 9418th prime number.
What is the sum of the first 9418 primes?
437,167,073.