What is the 9074th prime number?
The 9074th prime number is 94049. The next prime is 94057 (a gap of 8) and the one before is 94033.
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 9074th one is 94049.
- 2
94049 is prime because no prime up to ā94049 ā 306.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9074th prime is close to 9074 Ć ln(9074) ā 82693, and here it is 94049.
- 4
94049 has no twin: neither 94047 nor 94051 is prime.
Primes around the 9074th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9071 | 94007 | 10 |
| 9072 | 94009 | 2 |
| 9073 | 94033 | 24 |
| 9074 | 94049 | 16 |
| 9075 | 94057 | 8 |
| 9076 | 94063 | 6 |
| 9077 | 94079 | 16 |
Questions
What is the 9074th prime number?
94049.
Which prime number is 94049?
94049 is the 9074th prime number.
What is the sum of the first 9074 primes?
404,146,687.