What is the 9066th prime number?
The 9066th prime number is 93967. The next prime is 93971 (a gap of 4) and the one before is 93949.
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 9066th one is 93967.
- 2
93967 is prime because no prime up to ā93967 ā 306.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9066th prime is close to 9066 Ć ln(9066) ā 82612, and here it is 93967.
- 4
93967 has no twin: neither 93965 nor 93969 is prime.
Primes around the 9066th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9063 | 93937 | 14 |
| 9064 | 93941 | 4 |
| 9065 | 93949 | 8 |
| 9066 | 93967 | 18 |
| 9067 | 93971 | 4 |
| 9068 | 93979 | 8 |
| 9069 | 93983 | 4 |
Questions
What is the 9066th prime number?
93967.
Which prime number is 93967?
93967 is the 9066th prime number.
What is the sum of the first 9066 primes?
403,394,659.