What is the 4162nd prime number?
The 4162nd prime number is 39563. The next prime is 39569 (a gap of 6) and the one before is 39551.
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 4162nd one is 39563.
- 2
39563 is prime because no prime up to ā39563 ā 198.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4162nd prime is close to 4162 Ć ln(4162) ā 34685, and here it is 39563.
- 4
39563 has no twin: neither 39561 nor 39565 is prime.
Primes around the 4162nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4159 | 39521 | 10 |
| 4160 | 39541 | 20 |
| 4161 | 39551 | 10 |
| 4162 | 39563 | 12 |
| 4163 | 39569 | 6 |
| 4164 | 39581 | 12 |
| 4165 | 39607 | 26 |
Questions
What is the 4162nd prime number?
39563.
Which prime number is 39563?
39563 is the 4162nd prime number.
What is the sum of the first 4162 primes?
77,539,239.