What is the 4040th prime number?
The 4040th prime number is 38281. The next prime is 38287 (a gap of 6) and the one before is 38273.
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 4040th one is 38281.
- 2
38281 is prime because no prime up to ā38281 ā 195.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4040th prime is close to 4040 Ć ln(4040) ā 33548, and here it is 38281.
- 4
38281 has no twin: neither 38279 nor 38283 is prime.
Primes around the 4040th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4037 | 38239 | 2 |
| 4038 | 38261 | 22 |
| 4039 | 38273 | 12 |
| 4040 | 38281 | 8 |
| 4041 | 38287 | 6 |
| 4042 | 38299 | 12 |
| 4043 | 38303 | 4 |
Questions
What is the 4040th prime number?
38281.
Which prime number is 38281?
38281 is the 4040th prime number.
What is the sum of the first 4040 primes?
72,789,239.