What is the 3603rd prime number?
The 3603rd prime number is 33623. The next prime is 33629 (a gap of 6) and the one before is 33619.
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 3603rd one is 33623.
- 2
33623 is prime because no prime up to ā33623 ā 183.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3603rd prime is close to 3603 Ć ln(3603) ā 29507, and here it is 33623.
- 4
33623 has no twin: neither 33621 nor 33625 is prime.
Primes around the 3603rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3600 | 33613 | 12 |
| 3601 | 33617 | 4 |
| 3602 | 33619 | 2 |
| 3603 | 33623 | 4 |
| 3604 | 33629 | 6 |
| 3605 | 33637 | 8 |
| 3606 | 33641 | 4 |
Questions
What is the 3603rd prime number?
33623.
Which prime number is 33623?
33623 is the 3603rd prime number.
What is the sum of the first 3603 primes?
57,078,706.