What is the 6622nd prime number?
The 6622nd prime number is 66403. The next prime is 66413 (a gap of 10) and the one before is 66383.
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 6622nd one is 66403.
- 2
66403 is prime because no prime up to ā66403 ā 257.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6622nd prime is close to 6622 Ć ln(6622) ā 58261, and here it is 66403.
- 4
66403 has no twin: neither 66401 nor 66405 is prime.
Primes around the 6622nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6619 | 66373 | 12 |
| 6620 | 66377 | 4 |
| 6621 | 66383 | 6 |
| 6622 | 66403 | 20 |
| 6623 | 66413 | 10 |
| 6624 | 66431 | 18 |
| 6625 | 66449 | 18 |
Questions
What is the 6622nd prime number?
66403.
Which prime number is 66403?
66403 is the 6622nd prime number.
What is the sum of the first 6622 primes?
207,562,063.