What is the 4095th prime number?
The 4095th prime number is 38867. The next prime is 38873 (a gap of 6) and the one before is 38861.
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 4095th one is 38867.
- 2
38867 is prime because no prime up to ā38867 ā 197.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4095th prime is close to 4095 Ć ln(4095) ā 34060, and here it is 38867.
- 4
38867 has no twin: neither 38865 nor 38869 is prime.
Primes around the 4095th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4092 | 38839 | 6 |
| 4093 | 38851 | 12 |
| 4094 | 38861 | 10 |
| 4095 | 38867 | 6 |
| 4096 | 38873 | 6 |
| 4097 | 38891 | 18 |
| 4098 | 38903 | 12 |
Questions
What is the 4095th prime number?
38867.
Which prime number is 38867?
38867 is the 4095th prime number.
What is the sum of the first 4095 primes?
74,911,674.