What is the 6655th prime number?
The 6655th prime number is 66763. The next prime is 66791 (a gap of 28) and the one before is 66751.
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 6655th one is 66763.
- 2
66763 is prime because no prime up to ā66763 ā 258.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6655th prime is close to 6655 Ć ln(6655) ā 58585, and here it is 66763.
- 4
66763 has no twin: neither 66761 nor 66765 is prime.
Primes around the 6655th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6652 | 66739 | 6 |
| 6653 | 66749 | 10 |
| 6654 | 66751 | 2 |
| 6655 | 66763 | 12 |
| 6656 | 66791 | 28 |
| 6657 | 66797 | 6 |
| 6658 | 66809 | 12 |
Questions
What is the 6655th prime number?
66763.
Which prime number is 66763?
66763 is the 6655th prime number.
What is the sum of the first 6655 primes?
209,759,634.