What is the 4093rd prime number?
The 4093rd prime number is 38851. The next prime is 38861 (a gap of 10) and the one before is 38839.
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 4093rd one is 38851.
- 2
38851 is prime because no prime up to ā38851 ā 197.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4093rd prime is close to 4093 Ć ln(4093) ā 34042, and here it is 38851.
- 4
38851 has no twin: neither 38849 nor 38853 is prime.
Primes around the 4093rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4090 | 38821 | 18 |
| 4091 | 38833 | 12 |
| 4092 | 38839 | 6 |
| 4093 | 38851 | 12 |
| 4094 | 38861 | 10 |
| 4095 | 38867 | 6 |
| 4096 | 38873 | 6 |
Questions
What is the 4093rd prime number?
38851.
Which prime number is 38851?
38851 is the 4093rd prime number.
What is the sum of the first 4093 primes?
74,833,946.