What is the 4285th prime number?
The 4285th prime number is 40927. The next prime is 40933 (a gap of 6) and the one before is 40903.
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 4285th one is 40927.
- 2
40927 is prime because no prime up to ā40927 ā 202.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4285th prime is close to 4285 Ć ln(4285) ā 35835, and here it is 40927.
- 4
40927 has no twin: neither 40925 nor 40929 is prime.
Primes around the 4285th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4282 | 40883 | 4 |
| 4283 | 40897 | 14 |
| 4284 | 40903 | 6 |
| 4285 | 40927 | 24 |
| 4286 | 40933 | 6 |
| 4287 | 40939 | 6 |
| 4288 | 40949 | 10 |
Questions
What is the 4285th prime number?
40927.
Which prime number is 40927?
40927 is the 4285th prime number.
What is the sum of the first 4285 primes?
82,489,496.