What is the 4042nd prime number?
The 4042nd prime number is 38299. The next prime is 38303 (a gap of 4) and the one before is 38287.
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 4042nd one is 38299.
- 2
38299 is prime because no prime up to ā38299 ā 195.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4042nd prime is close to 4042 Ć ln(4042) ā 33567, and here it is 38299.
- 4
38299 has no twin: neither 38297 nor 38301 is prime.
Primes around the 4042nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4039 | 38273 | 12 |
| 4040 | 38281 | 8 |
| 4041 | 38287 | 6 |
| 4042 | 38299 | 12 |
| 4043 | 38303 | 4 |
| 4044 | 38317 | 14 |
| 4045 | 38321 | 4 |
Questions
What is the 4042nd prime number?
38299.
Which prime number is 38299?
38299 is the 4042nd prime number.
What is the sum of the first 4042 primes?
72,865,825.