What is the 6602nd prime number?
The 6602nd prime number is 66109. The next prime is 66137 (a gap of 28) and the one before is 66107.
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 6602nd one is 66109.
- 2
66109 is prime because no prime up to ā66109 ā 257.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6602nd prime is close to 6602 Ć ln(6602) ā 58065, and here it is 66109.
- 4
66109 is a twin prime: 66107 and 66109 are both prime.
Primes around the 6602nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6599 | 66089 | 6 |
| 6600 | 66103 | 14 |
| 6601 | 66107 | 4 |
| 6602 | 66109 | 2 |
| 6603 | 66137 | 28 |
| 6604 | 66161 | 24 |
| 6605 | 66169 | 8 |
Questions
What is the 6602nd prime number?
66109.
Which prime number is 66109?
66109 is the 6602nd prime number.
What is the sum of the first 6602 primes?
206,236,445.