What is the 9072nd prime number?
The 9072nd prime number is 94009. The next prime is 94033 (a gap of 24) and the one before is 94007.
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 9072nd one is 94009.
- 2
94009 is prime because no prime up to ā94009 ā 306.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9072nd prime is close to 9072 Ć ln(9072) ā 82673, and here it is 94009.
- 4
94009 is a twin prime: 94007 and 94009 are both prime.
Primes around the 9072nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9069 | 93983 | 4 |
| 9070 | 93997 | 14 |
| 9071 | 94007 | 10 |
| 9072 | 94009 | 2 |
| 9073 | 94033 | 24 |
| 9074 | 94049 | 16 |
| 9075 | 94057 | 8 |
Questions
What is the 9072nd prime number?
94009.
Which prime number is 94009?
94009 is the 9072nd prime number.
What is the sum of the first 9072 primes?
403,958,605.