What is the 6621st prime number?
The 6621st prime number is 66383. The next prime is 66403 (a gap of 20) and the one before is 66377.
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 6621st one is 66383.
- 2
66383 is prime because no prime up to ā66383 ā 257.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6621st prime is close to 6621 Ć ln(6621) ā 58252, and here it is 66383.
- 4
66383 has no twin: neither 66381 nor 66385 is prime.
Primes around the 6621st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6618 | 66361 | 2 |
| 6619 | 66373 | 12 |
| 6620 | 66377 | 4 |
| 6621 | 66383 | 6 |
| 6622 | 66403 | 20 |
| 6623 | 66413 | 10 |
| 6624 | 66431 | 18 |
Questions
What is the 6621st prime number?
66383.
Which prime number is 66383?
66383 is the 6621st prime number.
What is the sum of the first 6621 primes?
207,495,660.