What is the 6629th prime number?
The 6629th prime number is 66491. The next prime is 66499 (a gap of 8) and the one before is 66467.
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 6629th one is 66491.
- 2
66491 is prime because no prime up to ā66491 ā 257.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6629th prime is close to 6629 Ć ln(6629) ā 58330, and here it is 66491.
- 4
66491 has no twin: neither 66489 nor 66493 is prime.
Primes around the 6629th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6626 | 66457 | 8 |
| 6627 | 66463 | 6 |
| 6628 | 66467 | 4 |
| 6629 | 66491 | 24 |
| 6630 | 66499 | 8 |
| 6631 | 66509 | 10 |
| 6632 | 66523 | 14 |
Questions
What is the 6629th prime number?
66491.
Which prime number is 66491?
66491 is the 6629th prime number.
What is the sum of the first 6629 primes?
208,027,234.