What is the 546th prime number?
The 546th prime number is 3931. The next prime is 3943 (a gap of 12) and the one before is 3929.
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 546th one is 3931.
- 2
3931 is prime because no prime up to ā3931 ā 62.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 546th prime is close to 546 Ć ln(546) ā 3441, and here it is 3931.
- 4
3931 is a twin prime: 3929 and 3931 are both prime.
Primes around the 546th
| Position | Prime | Gap from the previous |
|---|---|---|
| 543 | 3919 | 2 |
| 544 | 3923 | 4 |
| 545 | 3929 | 6 |
| 546 | 3931 | 2 |
| 547 | 3943 | 12 |
| 548 | 3947 | 4 |
| 549 | 3967 | 20 |
Questions
What is the 546th prime number?
3931.
Which prime number is 3931?
3931 is the 546th prime number.
What is the sum of the first 546 primes?
997,661.