What is the 9407th prime number?
The 9407th prime number is 97861. The next prime is 97871 (a gap of 10) and the one before is 97859.
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 9407th one is 97861.
- 2
97861 is prime because no prime up to ā97861 ā 312.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9407th prime is close to 9407 Ć ln(9407) ā 86067, and here it is 97861.
- 4
97861 is a twin prime: 97859 and 97861 are both prime.
Primes around the 9407th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9404 | 97847 | 4 |
| 9405 | 97849 | 2 |
| 9406 | 97859 | 10 |
| 9407 | 97861 | 2 |
| 9408 | 97871 | 10 |
| 9409 | 97879 | 8 |
| 9410 | 97883 | 4 |
Questions
What is the 9407th prime number?
97861.
Which prime number is 97861?
97861 is the 9407th prime number.
What is the sum of the first 9407 primes?
436,089,832.