What is the 4382nd prime number?
The 4382nd prime number is 41911. The next prime is 41927 (a gap of 16) and the one before is 41903.
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 4382nd one is 41911.
- 2
41911 is prime because no prime up to ā41911 ā 204.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4382nd prime is close to 4382 Ć ln(4382) ā 36744, and here it is 41911.
- 4
41911 has no twin: neither 41909 nor 41913 is prime.
Primes around the 4382nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4379 | 41893 | 6 |
| 4380 | 41897 | 4 |
| 4381 | 41903 | 6 |
| 4382 | 41911 | 8 |
| 4383 | 41927 | 16 |
| 4384 | 41941 | 14 |
| 4385 | 41947 | 6 |
Questions
What is the 4382nd prime number?
41911.
Which prime number is 41911?
41911 is the 4382nd prime number.
What is the sum of the first 4382 primes?
86,507,801.