What is the 3546th prime number?
The 3546th prime number is 33073. The next prime is 33083 (a gap of 10) and the one before is 33071.
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 3546th one is 33073.
- 2
33073 is prime because no prime up to ā33073 ā 181.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3546th prime is close to 3546 Ć ln(3546) ā 28983, and here it is 33073.
- 4
33073 is a twin prime: 33071 and 33073 are both prime.
Primes around the 3546th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3543 | 33049 | 12 |
| 3544 | 33053 | 4 |
| 3545 | 33071 | 18 |
| 3546 | 33073 | 2 |
| 3547 | 33083 | 10 |
| 3548 | 33091 | 8 |
| 3549 | 33107 | 16 |
Questions
What is the 3546th prime number?
33073.
Which prime number is 33073?
33073 is the 3546th prime number.
What is the sum of the first 3546 primes?
55,176,145.