What is the 4043rd prime number?
The 4043rd prime number is 38303. The next prime is 38317 (a gap of 14) and the one before is 38299.
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 4043rd one is 38303.
- 2
38303 is prime because no prime up to ā38303 ā 195.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4043rd prime is close to 4043 Ć ln(4043) ā 33576, and here it is 38303.
- 4
38303 has no twin: neither 38301 nor 38305 is prime.
Primes around the 4043rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4040 | 38281 | 8 |
| 4041 | 38287 | 6 |
| 4042 | 38299 | 12 |
| 4043 | 38303 | 4 |
| 4044 | 38317 | 14 |
| 4045 | 38321 | 4 |
| 4046 | 38327 | 6 |
Questions
What is the 4043rd prime number?
38303.
Which prime number is 38303?
38303 is the 4043rd prime number.
What is the sum of the first 4043 primes?
72,904,128.