What is the 9077th prime number?
The 9077th prime number is 94079. The next prime is 94099 (a gap of 20) and the one before is 94063.
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 9077th one is 94079.
- 2
94079 is prime because no prime up to ā94079 ā 306.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9077th prime is close to 9077 Ć ln(9077) ā 82723, and here it is 94079.
- 4
94079 has no twin: neither 94077 nor 94081 is prime.
Primes around the 9077th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9074 | 94049 | 16 |
| 9075 | 94057 | 8 |
| 9076 | 94063 | 6 |
| 9077 | 94079 | 16 |
| 9078 | 94099 | 20 |
| 9079 | 94109 | 10 |
| 9080 | 94111 | 2 |
Questions
What is the 9077th prime number?
94079.
Which prime number is 94079?
94079 is the 9077th prime number.
What is the sum of the first 9077 primes?
404,428,886.