What is the 4047th prime number?
The 4047th prime number is 38329. The next prime is 38333 (a gap of 4) and the one before is 38327.
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 4047th one is 38329.
- 2
38329 is prime because no prime up to ā38329 ā 195.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4047th prime is close to 4047 Ć ln(4047) ā 33613, and here it is 38329.
- 4
38329 is a twin prime: 38327 and 38329 are both prime.
Primes around the 4047th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4044 | 38317 | 14 |
| 4045 | 38321 | 4 |
| 4046 | 38327 | 6 |
| 4047 | 38329 | 2 |
| 4048 | 38333 | 4 |
| 4049 | 38351 | 18 |
| 4050 | 38371 | 20 |
Questions
What is the 4047th prime number?
38329.
Which prime number is 38329?
38329 is the 4047th prime number.
What is the sum of the first 4047 primes?
73,057,422.