What is the 4081st prime number?
The 4081st prime number is 38723. The next prime is 38729 (a gap of 6) and the one before is 38713.
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 4081st one is 38723.
- 2
38723 is prime because no prime up to ā38723 ā 196.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4081st prime is close to 4081 Ć ln(4081) ā 33930, and here it is 38723.
- 4
38723 has no twin: neither 38721 nor 38725 is prime.
Primes around the 4081st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4078 | 38707 | 8 |
| 4079 | 38711 | 4 |
| 4080 | 38713 | 2 |
| 4081 | 38723 | 10 |
| 4082 | 38729 | 6 |
| 4083 | 38737 | 8 |
| 4084 | 38747 | 10 |
Questions
What is the 4081st prime number?
38723.
Which prime number is 38723?
38723 is the 4081st prime number.
What is the sum of the first 4081 primes?
74,368,496.