What is the 4092nd prime number?
The 4092nd prime number is 38839. The next prime is 38851 (a gap of 12) and the one before is 38833.
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 4092nd one is 38839.
- 2
38839 is prime because no prime up to ā38839 ā 197.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4092nd prime is close to 4092 Ć ln(4092) ā 34032, and here it is 38839.
- 4
38839 has no twin: neither 38837 nor 38841 is prime.
Primes around the 4092nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4089 | 38803 | 12 |
| 4090 | 38821 | 18 |
| 4091 | 38833 | 12 |
| 4092 | 38839 | 6 |
| 4093 | 38851 | 12 |
| 4094 | 38861 | 10 |
| 4095 | 38867 | 6 |
Questions
What is the 4092nd prime number?
38839.
Which prime number is 38839?
38839 is the 4092nd prime number.
What is the sum of the first 4092 primes?
74,795,095.