What is the 4165th prime number?
The 4165th prime number is 39607. The next prime is 39619 (a gap of 12) and the one before is 39581.
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 4165th one is 39607.
- 2
39607 is prime because no prime up to ā39607 ā 199.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4165th prime is close to 4165 Ć ln(4165) ā 34713, and here it is 39607.
- 4
39607 has no twin: neither 39605 nor 39609 is prime.
Primes around the 4165th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4162 | 39563 | 12 |
| 4163 | 39569 | 6 |
| 4164 | 39581 | 12 |
| 4165 | 39607 | 26 |
| 4166 | 39619 | 12 |
| 4167 | 39623 | 4 |
| 4168 | 39631 | 8 |
Questions
What is the 4165th prime number?
39607.
Which prime number is 39607?
39607 is the 4165th prime number.
What is the sum of the first 4165 primes?
77,657,996.