What is the 6616th prime number?
The 6616th prime number is 66347. The next prime is 66359 (a gap of 12) and the one before is 66343.
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 6616th one is 66347.
- 2
66347 is prime because no prime up to ā66347 ā 257.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6616th prime is close to 6616 Ć ln(6616) ā 58203, and here it is 66347.
- 4
66347 has no twin: neither 66345 nor 66349 is prime.
Primes around the 6616th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6613 | 66301 | 8 |
| 6614 | 66337 | 36 |
| 6615 | 66343 | 6 |
| 6616 | 66347 | 4 |
| 6617 | 66359 | 12 |
| 6618 | 66361 | 2 |
| 6619 | 66373 | 12 |
Questions
What is the 6616th prime number?
66347.
Which prime number is 66347?
66347 is the 6616th prime number.
What is the sum of the first 6616 primes?
207,163,807.