What is the 6632nd prime number?
The 6632nd prime number is 66523. The next prime is 66529 (a gap of 6) and the one before is 66509.
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 6632nd one is 66523.
- 2
66523 is prime because no prime up to ā66523 ā 257.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6632nd prime is close to 6632 Ć ln(6632) ā 58359, and here it is 66523.
- 4
66523 has no twin: neither 66521 nor 66525 is prime.
Primes around the 6632nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6629 | 66491 | 24 |
| 6630 | 66499 | 8 |
| 6631 | 66509 | 10 |
| 6632 | 66523 | 14 |
| 6633 | 66529 | 6 |
| 6634 | 66533 | 4 |
| 6635 | 66541 | 8 |
Questions
What is the 6632nd prime number?
66523.
Which prime number is 66523?
66523 is the 6632nd prime number.
What is the sum of the first 6632 primes?
208,226,765.