What is the 6628th prime number?
The 6628th prime number is 66467. The next prime is 66491 (a gap of 24) and the one before is 66463.
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 6628th one is 66467.
- 2
66467 is prime because no prime up to ā66467 ā 257.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6628th prime is close to 6628 Ć ln(6628) ā 58320, and here it is 66467.
- 4
66467 has no twin: neither 66465 nor 66469 is prime.
Primes around the 6628th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6625 | 66449 | 18 |
| 6626 | 66457 | 8 |
| 6627 | 66463 | 6 |
| 6628 | 66467 | 4 |
| 6629 | 66491 | 24 |
| 6630 | 66499 | 8 |
| 6631 | 66509 | 10 |
Questions
What is the 6628th prime number?
66467.
Which prime number is 66467?
66467 is the 6628th prime number.
What is the sum of the first 6628 primes?
207,960,743.