What is the 6626th prime number?
The 6626th prime number is 66457. The next prime is 66463 (a gap of 6) and the one before is 66449.
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 6626th one is 66457.
- 2
66457 is prime because no prime up to ā66457 ā 257.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6626th prime is close to 6626 Ć ln(6626) ā 58301, and here it is 66457.
- 4
66457 has no twin: neither 66455 nor 66459 is prime.
Primes around the 6626th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6623 | 66413 | 10 |
| 6624 | 66431 | 18 |
| 6625 | 66449 | 18 |
| 6626 | 66457 | 8 |
| 6627 | 66463 | 6 |
| 6628 | 66467 | 4 |
| 6629 | 66491 | 24 |
Questions
What is the 6626th prime number?
66457.
Which prime number is 66457?
66457 is the 6626th prime number.
What is the sum of the first 6626 primes?
207,827,813.