What is the 9067th prime number?
The 9067th prime number is 93971. The next prime is 93979 (a gap of 8) and the one before is 93967.
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 9067th one is 93971.
- 2
93971 is prime because no prime up to ā93971 ā 306.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9067th prime is close to 9067 Ć ln(9067) ā 82622, and here it is 93971.
- 4
93971 has no twin: neither 93969 nor 93973 is prime.
Primes around the 9067th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9064 | 93941 | 4 |
| 9065 | 93949 | 8 |
| 9066 | 93967 | 18 |
| 9067 | 93971 | 4 |
| 9068 | 93979 | 8 |
| 9069 | 93983 | 4 |
| 9070 | 93997 | 14 |
Questions
What is the 9067th prime number?
93971.
Which prime number is 93971?
93971 is the 9067th prime number.
What is the sum of the first 9067 primes?
403,488,630.