What is the 6600th prime number?
The 6600th prime number is 66103. The next prime is 66107 (a gap of 4) and the one before is 66089.
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 6600th one is 66103.
- 2
66103 is prime because no prime up to ā66103 ā 257.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6600th prime is close to 6600 Ć ln(6600) ā 58046, and here it is 66103.
- 4
66103 has no twin: neither 66101 nor 66105 is prime.
Primes around the 6600th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6597 | 66071 | 4 |
| 6598 | 66083 | 12 |
| 6599 | 66089 | 6 |
| 6600 | 66103 | 14 |
| 6601 | 66107 | 4 |
| 6602 | 66109 | 2 |
| 6603 | 66137 | 28 |
Questions
What is the 6600th prime number?
66103.
Which prime number is 66103?
66103 is the 6600th prime number.
What is the sum of the first 6600 primes?
206,104,229.