What is the 6661st prime number?
The 6661st prime number is 66851. The next prime is 66853 (a gap of 2) and the one before is 66841.
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 6661st one is 66851.
- 2
66851 is prime because no prime up to ā66851 ā 258.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6661st prime is close to 6661 Ć ln(6661) ā 58644, and here it is 66851.
- 4
66851 is a twin prime: 66851 and 66853 are both prime.
Primes around the 6661st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6658 | 66809 | 12 |
| 6659 | 66821 | 12 |
| 6660 | 66841 | 20 |
| 6661 | 66851 | 10 |
| 6662 | 66853 | 2 |
| 6663 | 66863 | 10 |
| 6664 | 66877 | 14 |
Questions
What is the 6661st prime number?
66851.
Which prime number is 66851?
66851 is the 6661st prime number.
What is the sum of the first 6661 primes?
210,160,544.