What is the 4182nd prime number?
The 4182nd prime number is 39791. The next prime is 39799 (a gap of 8) and the one before is 39779.
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 4182nd one is 39791.
- 2
39791 is prime because no prime up to ā39791 ā 199.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4182nd prime is close to 4182 Ć ln(4182) ā 34872, and here it is 39791.
- 4
39791 has no twin: neither 39789 nor 39793 is prime.
Primes around the 4182nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4179 | 39761 | 12 |
| 4180 | 39769 | 8 |
| 4181 | 39779 | 10 |
| 4182 | 39791 | 12 |
| 4183 | 39799 | 8 |
| 4184 | 39821 | 22 |
| 4185 | 39827 | 6 |
Questions
What is the 4182nd prime number?
39791.
Which prime number is 39791?
39791 is the 4182nd prime number.
What is the sum of the first 4182 primes?
78,332,985.