What is the 4082nd prime number?
The 4082nd prime number is 38729. The next prime is 38737 (a gap of 8) and the one before is 38723.
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 4082nd one is 38729.
- 2
38729 is prime because no prime up to ā38729 ā 196.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4082nd prime is close to 4082 Ć ln(4082) ā 33939, and here it is 38729.
- 4
38729 has no twin: neither 38727 nor 38731 is prime.
Primes around the 4082nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4079 | 38711 | 4 |
| 4080 | 38713 | 2 |
| 4081 | 38723 | 10 |
| 4082 | 38729 | 6 |
| 4083 | 38737 | 8 |
| 4084 | 38747 | 10 |
| 4085 | 38749 | 2 |
Questions
What is the 4082nd prime number?
38729.
Which prime number is 38729?
38729 is the 4082nd prime number.
What is the sum of the first 4082 primes?
74,407,225.