What is the 1603rd prime number?
The 1603rd prime number is 13537. The next prime is 13553 (a gap of 16) and the one before is 13523.
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 1603rd one is 13537.
- 2
13537 is prime because no prime up to ā13537 ā 116.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1603rd prime is close to 1603 Ć ln(1603) ā 11830, and here it is 13537.
- 4
13537 has no twin: neither 13535 nor 13539 is prime.
Primes around the 1603rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1600 | 13499 | 12 |
| 1601 | 13513 | 14 |
| 1602 | 13523 | 10 |
| 1603 | 13537 | 14 |
| 1604 | 13553 | 16 |
| 1605 | 13567 | 14 |
| 1606 | 13577 | 10 |
Questions
What is the 1603rd prime number?
13537.
Which prime number is 13537?
13537 is the 1603rd prime number.
What is the sum of the first 1603 primes?
10,139,762.