What is the 3543rd prime number?
The 3543rd prime number is 33049. The next prime is 33053 (a gap of 4) and the one before is 33037.
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 3543rd one is 33049.
- 2
33049 is prime because no prime up to ā33049 ā 181.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3543rd prime is close to 3543 Ć ln(3543) ā 28956, and here it is 33049.
- 4
33049 has no twin: neither 33047 nor 33051 is prime.
Primes around the 3543rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3540 | 33023 | 10 |
| 3541 | 33029 | 6 |
| 3542 | 33037 | 8 |
| 3543 | 33049 | 12 |
| 3544 | 33053 | 4 |
| 3545 | 33071 | 18 |
| 3546 | 33073 | 2 |
Questions
What is the 3543rd prime number?
33049.
Which prime number is 33049?
33049 is the 3543rd prime number.
What is the sum of the first 3543 primes?
55,076,948.