What is the 9071st prime number?
The 9071st prime number is 94007. The next prime is 94009 (a gap of 2) and the one before is 93997.
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 9071st one is 94007.
- 2
94007 is prime because no prime up to ā94007 ā 306.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9071st prime is close to 9071 Ć ln(9071) ā 82663, and here it is 94007.
- 4
94007 is a twin prime: 94007 and 94009 are both prime.
Primes around the 9071st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9068 | 93979 | 8 |
| 9069 | 93983 | 4 |
| 9070 | 93997 | 14 |
| 9071 | 94007 | 10 |
| 9072 | 94009 | 2 |
| 9073 | 94033 | 24 |
| 9074 | 94049 | 16 |
Questions
What is the 9071st prime number?
94007.
Which prime number is 94007?
94007 is the 9071st prime number.
What is the sum of the first 9071 primes?
403,864,596.