What is the 9413th prime number?
The 9413th prime number is 97931. The next prime is 97943 (a gap of 12) and the one before is 97927.
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 9413th one is 97931.
- 2
97931 is prime because no prime up to ā97931 ā 312.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9413th prime is close to 9413 Ć ln(9413) ā 86128, and here it is 97931.
- 4
97931 has no twin: neither 97929 nor 97933 is prime.
Primes around the 9413th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9410 | 97883 | 4 |
| 9411 | 97919 | 36 |
| 9412 | 97927 | 8 |
| 9413 | 97931 | 4 |
| 9414 | 97943 | 12 |
| 9415 | 97961 | 18 |
| 9416 | 97967 | 6 |
Questions
What is the 9413th prime number?
97931.
Which prime number is 97931?
97931 is the 9413th prime number.
What is the sum of the first 9413 primes?
436,677,242.