What is the 4161st prime number?
The 4161st prime number is 39551. The next prime is 39563 (a gap of 12) and the one before is 39541.
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 4161st one is 39551.
- 2
39551 is prime because no prime up to ā39551 ā 198.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4161st prime is close to 4161 Ć ln(4161) ā 34676, and here it is 39551.
- 4
39551 has no twin: neither 39549 nor 39553 is prime.
Primes around the 4161st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4158 | 39511 | 2 |
| 4159 | 39521 | 10 |
| 4160 | 39541 | 20 |
| 4161 | 39551 | 10 |
| 4162 | 39563 | 12 |
| 4163 | 39569 | 6 |
| 4164 | 39581 | 12 |
Questions
What is the 4161st prime number?
39551.
Which prime number is 39551?
39551 is the 4161st prime number.
What is the sum of the first 4161 primes?
77,499,676.