What is the 441st prime number?
The 441st prime number is 3083. The next prime is 3089 (a gap of 6) and the one before is 3079.
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 441st one is 3083.
- 2
3083 is prime because no prime up to ā3083 ā 55.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 441st prime is close to 441 Ć ln(441) ā 2685, and here it is 3083.
- 4
3083 has no twin: neither 3081 nor 3085 is prime.
Primes around the 441st
| Position | Prime | Gap from the previous |
|---|---|---|
| 438 | 3061 | 12 |
| 439 | 3067 | 6 |
| 440 | 3079 | 12 |
| 441 | 3083 | 4 |
| 442 | 3089 | 6 |
| 443 | 3109 | 20 |
| 444 | 3119 | 10 |
Questions
What is the 441st prime number?
3083.
Which prime number is 3083?
3083 is the 441st prime number.
What is the sum of the first 441 primes?
627,294.