What is the 411th prime number?
The 411th prime number is 2833. The next prime is 2837 (a gap of 4) and the one before is 2819.
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 411th one is 2833.
- 2
2833 is prime because no prime up to ā2833 ā 53.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 411th prime is close to 411 Ć ln(411) ā 2474, and here it is 2833.
- 4
2833 has no twin: neither 2831 nor 2835 is prime.
Primes around the 411th
| Position | Prime | Gap from the previous |
|---|---|---|
| 408 | 2801 | 4 |
| 409 | 2803 | 2 |
| 410 | 2819 | 16 |
| 411 | 2833 | 14 |
| 412 | 2837 | 4 |
| 413 | 2843 | 6 |
| 414 | 2851 | 8 |
Questions
What is the 411th prime number?
2833.
Which prime number is 2833?
2833 is the 411th prime number.
What is the sum of the first 411 primes?
538,504.