What is the 3285th prime number?
The 3285th prime number is 30403. The next prime is 30427 (a gap of 24) and the one before is 30391.
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 3285th one is 30403.
- 2
30403 is prime because no prime up to ā30403 ā 174.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3285th prime is close to 3285 Ć ln(3285) ā 26599, and here it is 30403.
- 4
30403 has no twin: neither 30401 nor 30405 is prime.
Primes around the 3285th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3282 | 30367 | 20 |
| 3283 | 30389 | 22 |
| 3284 | 30391 | 2 |
| 3285 | 30403 | 12 |
| 3286 | 30427 | 24 |
| 3287 | 30431 | 4 |
| 3288 | 30449 | 18 |
Questions
What is the 3285th prime number?
30403.
Which prime number is 30403?
30403 is the 3285th prime number.
What is the sum of the first 3285 primes?
46,883,842.