What is the 6603rd prime number?
The 6603rd prime number is 66137. The next prime is 66161 (a gap of 24) and the one before is 66109.
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 6603rd one is 66137.
- 2
66137 is prime because no prime up to ā66137 ā 257.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6603rd prime is close to 6603 Ć ln(6603) ā 58075, and here it is 66137.
- 4
66137 has no twin: neither 66135 nor 66139 is prime.
Primes around the 6603rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6600 | 66103 | 14 |
| 6601 | 66107 | 4 |
| 6602 | 66109 | 2 |
| 6603 | 66137 | 28 |
| 6604 | 66161 | 24 |
| 6605 | 66169 | 8 |
| 6606 | 66173 | 4 |
Questions
What is the 6603rd prime number?
66137.
Which prime number is 66137?
66137 is the 6603rd prime number.
What is the sum of the first 6603 primes?
206,302,582.