What is the 4091st prime number?
The 4091st prime number is 38833. The next prime is 38839 (a gap of 6) and the one before is 38821.
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 4091st one is 38833.
- 2
38833 is prime because no prime up to ā38833 ā 197.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4091st prime is close to 4091 Ć ln(4091) ā 34023, and here it is 38833.
- 4
38833 has no twin: neither 38831 nor 38835 is prime.
Primes around the 4091st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4088 | 38791 | 8 |
| 4089 | 38803 | 12 |
| 4090 | 38821 | 18 |
| 4091 | 38833 | 12 |
| 4092 | 38839 | 6 |
| 4093 | 38851 | 12 |
| 4094 | 38861 | 10 |
Questions
What is the 4091st prime number?
38833.
Which prime number is 38833?
38833 is the 4091st prime number.
What is the sum of the first 4091 primes?
74,756,256.