What is the 4044th prime number?
The 4044th prime number is 38317. The next prime is 38321 (a gap of 4) and the one before is 38303.
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 4044th one is 38317.
- 2
38317 is prime because no prime up to ā38317 ā 195.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4044th prime is close to 4044 Ć ln(4044) ā 33585, and here it is 38317.
- 4
38317 has no twin: neither 38315 nor 38319 is prime.
Primes around the 4044th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4041 | 38287 | 6 |
| 4042 | 38299 | 12 |
| 4043 | 38303 | 4 |
| 4044 | 38317 | 14 |
| 4045 | 38321 | 4 |
| 4046 | 38327 | 6 |
| 4047 | 38329 | 2 |
Questions
What is the 4044th prime number?
38317.
Which prime number is 38317?
38317 is the 4044th prime number.
What is the sum of the first 4044 primes?
72,942,445.