What is the 6631st prime number?
The 6631st prime number is 66509. The next prime is 66523 (a gap of 14) and the one before is 66499.
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 6631st one is 66509.
- 2
66509 is prime because no prime up to ā66509 ā 257.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6631st prime is close to 6631 Ć ln(6631) ā 58350, and here it is 66509.
- 4
66509 has no twin: neither 66507 nor 66511 is prime.
Primes around the 6631st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6628 | 66467 | 4 |
| 6629 | 66491 | 24 |
| 6630 | 66499 | 8 |
| 6631 | 66509 | 10 |
| 6632 | 66523 | 14 |
| 6633 | 66529 | 6 |
| 6634 | 66533 | 4 |
Questions
What is the 6631st prime number?
66509.
Which prime number is 66509?
66509 is the 6631st prime number.
What is the sum of the first 6631 primes?
208,160,242.