What is the 9065th prime number?
The 9065th prime number is 93949. The next prime is 93967 (a gap of 18) and the one before is 93941.
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 9065th one is 93949.
- 2
93949 is prime because no prime up to ā93949 ā 306.51 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9065th prime is close to 9065 Ć ln(9065) ā 82602, and here it is 93949.
- 4
93949 has no twin: neither 93947 nor 93951 is prime.
Primes around the 9065th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9062 | 93923 | 10 |
| 9063 | 93937 | 14 |
| 9064 | 93941 | 4 |
| 9065 | 93949 | 8 |
| 9066 | 93967 | 18 |
| 9067 | 93971 | 4 |
| 9068 | 93979 | 8 |
Questions
What is the 9065th prime number?
93949.
Which prime number is 93949?
93949 is the 9065th prime number.
What is the sum of the first 9065 primes?
403,300,692.