What is the 9073rd prime number?
The 9073rd prime number is 94033. The next prime is 94049 (a gap of 16) and the one before is 94009.
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 9073rd one is 94033.
- 2
94033 is prime because no prime up to ā94033 ā 306.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9073rd prime is close to 9073 Ć ln(9073) ā 82683, and here it is 94033.
- 4
94033 has no twin: neither 94031 nor 94035 is prime.
Primes around the 9073rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9070 | 93997 | 14 |
| 9071 | 94007 | 10 |
| 9072 | 94009 | 2 |
| 9073 | 94033 | 24 |
| 9074 | 94049 | 16 |
| 9075 | 94057 | 8 |
| 9076 | 94063 | 6 |
Questions
What is the 9073rd prime number?
94033.
Which prime number is 94033?
94033 is the 9073rd prime number.
What is the sum of the first 9073 primes?
404,052,638.