What is the 4163rd prime number?
The 4163rd prime number is 39569. The next prime is 39581 (a gap of 12) and the one before is 39563.
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 4163rd one is 39569.
- 2
39569 is prime because no prime up to ā39569 ā 198.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4163rd prime is close to 4163 Ć ln(4163) ā 34694, and here it is 39569.
- 4
39569 has no twin: neither 39567 nor 39571 is prime.
Primes around the 4163rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4160 | 39541 | 20 |
| 4161 | 39551 | 10 |
| 4162 | 39563 | 12 |
| 4163 | 39569 | 6 |
| 4164 | 39581 | 12 |
| 4165 | 39607 | 26 |
| 4166 | 39619 | 12 |
Questions
What is the 4163rd prime number?
39569.
Which prime number is 39569?
39569 is the 4163rd prime number.
What is the sum of the first 4163 primes?
77,578,808.