What is the 4094th prime number?
The 4094th prime number is 38861. The next prime is 38867 (a gap of 6) and the one before is 38851.
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 4094th one is 38861.
- 2
38861 is prime because no prime up to ā38861 ā 197.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4094th prime is close to 4094 Ć ln(4094) ā 34051, and here it is 38861.
- 4
38861 has no twin: neither 38859 nor 38863 is prime.
Primes around the 4094th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4091 | 38833 | 12 |
| 4092 | 38839 | 6 |
| 4093 | 38851 | 12 |
| 4094 | 38861 | 10 |
| 4095 | 38867 | 6 |
| 4096 | 38873 | 6 |
| 4097 | 38891 | 18 |
Questions
What is the 4094th prime number?
38861.
Which prime number is 38861?
38861 is the 4094th prime number.
What is the sum of the first 4094 primes?
74,872,807.