What is the 4046th prime number?
The 4046th prime number is 38327. The next prime is 38329 (a gap of 2) and the one before is 38321.
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 4046th one is 38327.
- 2
38327 is prime because no prime up to ā38327 ā 195.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4046th prime is close to 4046 Ć ln(4046) ā 33604, and here it is 38327.
- 4
38327 is a twin prime: 38327 and 38329 are both prime.
Primes around the 4046th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4043 | 38303 | 4 |
| 4044 | 38317 | 14 |
| 4045 | 38321 | 4 |
| 4046 | 38327 | 6 |
| 4047 | 38329 | 2 |
| 4048 | 38333 | 4 |
| 4049 | 38351 | 18 |
Questions
What is the 4046th prime number?
38327.
Which prime number is 38327?
38327 is the 4046th prime number.
What is the sum of the first 4046 primes?
73,019,093.