What is the 6627th prime number?
The 6627th prime number is 66463. The next prime is 66467 (a gap of 4) and the one before is 66457.
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 6627th one is 66463.
- 2
66463 is prime because no prime up to ā66463 ā 257.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6627th prime is close to 6627 Ć ln(6627) ā 58310, and here it is 66463.
- 4
66463 has no twin: neither 66461 nor 66465 is prime.
Primes around the 6627th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6624 | 66431 | 18 |
| 6625 | 66449 | 18 |
| 6626 | 66457 | 8 |
| 6627 | 66463 | 6 |
| 6628 | 66467 | 4 |
| 6629 | 66491 | 24 |
| 6630 | 66499 | 8 |
Questions
What is the 6627th prime number?
66463.
Which prime number is 66463?
66463 is the 6627th prime number.
What is the sum of the first 6627 primes?
207,894,276.