What is the 4283rd prime number?
The 4283rd prime number is 40897. The next prime is 40903 (a gap of 6) and the one before is 40883.
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 4283rd one is 40897.
- 2
40897 is prime because no prime up to ā40897 ā 202.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4283rd prime is close to 4283 Ć ln(4283) ā 35816, and here it is 40897.
- 4
40897 has no twin: neither 40895 nor 40899 is prime.
Primes around the 4283rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4280 | 40867 | 14 |
| 4281 | 40879 | 12 |
| 4282 | 40883 | 4 |
| 4283 | 40897 | 14 |
| 4284 | 40903 | 6 |
| 4285 | 40927 | 24 |
| 4286 | 40933 | 6 |
Questions
What is the 4283rd prime number?
40897.
Which prime number is 40897?
40897 is the 4283rd prime number.
What is the sum of the first 4283 primes?
82,407,666.