What is the 6623rd prime number?
The 6623rd prime number is 66413. The next prime is 66431 (a gap of 18) and the one before is 66403.
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 6623rd one is 66413.
- 2
66413 is prime because no prime up to ā66413 ā 257.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6623rd prime is close to 6623 Ć ln(6623) ā 58271, and here it is 66413.
- 4
66413 has no twin: neither 66411 nor 66415 is prime.
Primes around the 6623rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6620 | 66377 | 4 |
| 6621 | 66383 | 6 |
| 6622 | 66403 | 20 |
| 6623 | 66413 | 10 |
| 6624 | 66431 | 18 |
| 6625 | 66449 | 18 |
| 6626 | 66457 | 8 |
Questions
What is the 6623rd prime number?
66413.
Which prime number is 66413?
66413 is the 6623rd prime number.
What is the sum of the first 6623 primes?
207,628,476.