What is the 9131st prime number?
The 9131st prime number is 94693. The next prime is 94709 (a gap of 16) and the one before is 94687.
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 9131st one is 94693.
- 2
94693 is prime because no prime up to ā94693 ā 307.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9131st prime is close to 9131 Ć ln(9131) ā 83270, and here it is 94693.
- 4
94693 has no twin: neither 94691 nor 94695 is prime.
Primes around the 9131st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9128 | 94649 | 28 |
| 9129 | 94651 | 2 |
| 9130 | 94687 | 36 |
| 9131 | 94693 | 6 |
| 9132 | 94709 | 16 |
| 9133 | 94723 | 14 |
| 9134 | 94727 | 4 |
Questions
What is the 9131st prime number?
94693.
Which prime number is 94693?
94693 is the 9131st prime number.
What is the sum of the first 9131 primes?
409,526,288.