What is the 603rd prime number?
The 603rd prime number is 4441. The next prime is 4447 (a gap of 6) and the one before is 4423.
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 603rd one is 4441.
- 2
4441 is prime because no prime up to ā4441 ā 66.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 603rd prime is close to 603 Ć ln(603) ā 3860, and here it is 4441.
- 4
4441 has no twin: neither 4439 nor 4443 is prime.
Primes around the 603rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 600 | 4409 | 12 |
| 601 | 4421 | 12 |
| 602 | 4423 | 2 |
| 603 | 4441 | 18 |
| 604 | 4447 | 6 |
| 605 | 4451 | 4 |
| 606 | 4457 | 6 |
Questions
What is the 603rd prime number?
4441.
Which prime number is 4441?
4441 is the 603rd prime number.
What is the sum of the first 603 primes?
1,236,380.