What is the 9145th prime number?
The 9145th prime number is 94841. The next prime is 94847 (a gap of 6) and the one before is 94837.
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 9145th one is 94841.
- 2
94841 is prime because no prime up to ā94841 ā 307.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9145th prime is close to 9145 Ć ln(9145) ā 83411, and here it is 94841.
- 4
94841 has no twin: neither 94839 nor 94843 is prime.
Primes around the 9145th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9142 | 94819 | 8 |
| 9143 | 94823 | 4 |
| 9144 | 94837 | 14 |
| 9145 | 94841 | 4 |
| 9146 | 94847 | 6 |
| 9147 | 94849 | 2 |
| 9148 | 94873 | 24 |
Questions
What is the 9145th prime number?
94841.
Which prime number is 94841?
94841 is the 9145th prime number.
What is the sum of the first 9145 primes?
410,853,236.