What is the 9064th prime number?
The 9064th prime number is 93941. The next prime is 93949 (a gap of 8) and the one before is 93937.
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 9064th one is 93941.
- 2
93941 is prime because no prime up to ā93941 ā 306.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9064th prime is close to 9064 Ć ln(9064) ā 82592, and here it is 93941.
- 4
93941 has no twin: neither 93939 nor 93943 is prime.
Primes around the 9064th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9061 | 93913 | 2 |
| 9062 | 93923 | 10 |
| 9063 | 93937 | 14 |
| 9064 | 93941 | 4 |
| 9065 | 93949 | 8 |
| 9066 | 93967 | 18 |
| 9067 | 93971 | 4 |
Questions
What is the 9064th prime number?
93941.
Which prime number is 93941?
93941 is the 9064th prime number.
What is the sum of the first 9064 primes?
403,206,743.