What is the 4041st prime number?
The 4041st prime number is 38287. The next prime is 38299 (a gap of 12) and the one before is 38281.
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 4041st one is 38287.
- 2
38287 is prime because no prime up to ā38287 ā 195.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4041st prime is close to 4041 Ć ln(4041) ā 33557, and here it is 38287.
- 4
38287 has no twin: neither 38285 nor 38289 is prime.
Primes around the 4041st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4038 | 38261 | 22 |
| 4039 | 38273 | 12 |
| 4040 | 38281 | 8 |
| 4041 | 38287 | 6 |
| 4042 | 38299 | 12 |
| 4043 | 38303 | 4 |
| 4044 | 38317 | 14 |
Questions
What is the 4041st prime number?
38287.
Which prime number is 38287?
38287 is the 4041st prime number.
What is the sum of the first 4041 primes?
72,827,526.