What is the 9121st prime number?
The 9121st prime number is 94561. The next prime is 94573 (a gap of 12) and the one before is 94559.
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 9121st one is 94561.
- 2
94561 is prime because no prime up to ā94561 ā 307.51 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9121st prime is close to 9121 Ć ln(9121) ā 83168, and here it is 94561.
- 4
94561 is a twin prime: 94559 and 94561 are both prime.
Primes around the 9121st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9118 | 94543 | 2 |
| 9119 | 94547 | 4 |
| 9120 | 94559 | 12 |
| 9121 | 94561 | 2 |
| 9122 | 94573 | 12 |
| 9123 | 94583 | 10 |
| 9124 | 94597 | 14 |
Questions
What is the 9121st prime number?
94561.
Which prime number is 94561?
94561 is the 9121st prime number.
What is the sum of the first 9121 primes?
408,580,018.