What is the 9078th prime number?
The 9078th prime number is 94099. The next prime is 94109 (a gap of 10) and the one before is 94079.
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 9078th one is 94099.
- 2
94099 is prime because no prime up to ā94099 ā 306.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9078th prime is close to 9078 Ć ln(9078) ā 82733, and here it is 94099.
- 4
94099 has no twin: neither 94097 nor 94101 is prime.
Primes around the 9078th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9075 | 94057 | 8 |
| 9076 | 94063 | 6 |
| 9077 | 94079 | 16 |
| 9078 | 94099 | 20 |
| 9079 | 94109 | 10 |
| 9080 | 94111 | 2 |
| 9081 | 94117 | 6 |
Questions
What is the 9078th prime number?
94099.
Which prime number is 94099?
94099 is the 9078th prime number.
What is the sum of the first 9078 primes?
404,522,985.