What is the 545th prime number?
The 545th prime number is 3929. The next prime is 3931 (a gap of 2) and the one before is 3923.
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 545th one is 3929.
- 2
3929 is prime because no prime up to ā3929 ā 62.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 545th prime is close to 545 Ć ln(545) ā 3434, and here it is 3929.
- 4
3929 is a twin prime: 3929 and 3931 are both prime.
Primes around the 545th
| Position | Prime | Gap from the previous |
|---|---|---|
| 542 | 3917 | 6 |
| 543 | 3919 | 2 |
| 544 | 3923 | 4 |
| 545 | 3929 | 6 |
| 546 | 3931 | 2 |
| 547 | 3943 | 12 |
| 548 | 3947 | 4 |
Questions
What is the 545th prime number?
3929.
Which prime number is 3929?
3929 is the 545th prime number.
What is the sum of the first 545 primes?
993,730.