What is the 4287th prime number?
The 4287th prime number is 40939. The next prime is 40949 (a gap of 10) and the one before is 40933.
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 4287th one is 40939.
- 2
40939 is prime because no prime up to ā40939 ā 202.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4287th prime is close to 4287 Ć ln(4287) ā 35854, and here it is 40939.
- 4
40939 has no twin: neither 40937 nor 40941 is prime.
Primes around the 4287th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4284 | 40903 | 6 |
| 4285 | 40927 | 24 |
| 4286 | 40933 | 6 |
| 4287 | 40939 | 6 |
| 4288 | 40949 | 10 |
| 4289 | 40961 | 12 |
| 4290 | 40973 | 12 |
Questions
What is the 4287th prime number?
40939.
Which prime number is 40939?
40939 is the 4287th prime number.
What is the sum of the first 4287 primes?
82,571,368.