What is the 4282nd prime number?
The 4282nd prime number is 40883. The next prime is 40897 (a gap of 14) and the one before is 40879.
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 4282nd one is 40883.
- 2
40883 is prime because no prime up to ā40883 ā 202.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4282nd prime is close to 4282 Ć ln(4282) ā 35807, and here it is 40883.
- 4
40883 has no twin: neither 40881 nor 40885 is prime.
Primes around the 4282nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4279 | 40853 | 4 |
| 4280 | 40867 | 14 |
| 4281 | 40879 | 12 |
| 4282 | 40883 | 4 |
| 4283 | 40897 | 14 |
| 4284 | 40903 | 6 |
| 4285 | 40927 | 24 |
Questions
What is the 4282nd prime number?
40883.
Which prime number is 40883?
40883 is the 4282nd prime number.
What is the sum of the first 4282 primes?
82,366,769.