What is the 543rd prime number?
The 543rd prime number is 3919. The next prime is 3923 (a gap of 4) and the one before is 3917.
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 543rd one is 3919.
- 2
3919 is prime because no prime up to ā3919 ā 62.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 543rd prime is close to 543 Ć ln(543) ā 3419, and here it is 3919.
- 4
3919 is a twin prime: 3917 and 3919 are both prime.
Primes around the 543rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 540 | 3907 | 18 |
| 541 | 3911 | 4 |
| 542 | 3917 | 6 |
| 543 | 3919 | 2 |
| 544 | 3923 | 4 |
| 545 | 3929 | 6 |
| 546 | 3931 | 2 |
Questions
What is the 543rd prime number?
3919.
Which prime number is 3919?
3919 is the 543rd prime number.
What is the sum of the first 543 primes?
985,878.