What is the 9415th prime number?
The 9415th prime number is 97961. The next prime is 97967 (a gap of 6) and the one before is 97943.
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 9415th one is 97961.
- 2
97961 is prime because no prime up to ā97961 ā 312.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9415th prime is close to 9415 Ć ln(9415) ā 86148, and here it is 97961.
- 4
97961 has no twin: neither 97959 nor 97963 is prime.
Primes around the 9415th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9412 | 97927 | 8 |
| 9413 | 97931 | 4 |
| 9414 | 97943 | 12 |
| 9415 | 97961 | 18 |
| 9416 | 97967 | 6 |
| 9417 | 97973 | 6 |
| 9418 | 97987 | 14 |
Questions
What is the 9415th prime number?
97961.
Which prime number is 97961?
97961 is the 9415th prime number.
What is the sum of the first 9415 primes?
436,873,146.