What is the 6624th prime number?
The 6624th prime number is 66431. The next prime is 66449 (a gap of 18) and the one before is 66413.
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 6624th one is 66431.
- 2
66431 is prime because no prime up to ā66431 ā 257.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6624th prime is close to 6624 Ć ln(6624) ā 58281, and here it is 66431.
- 4
66431 has no twin: neither 66429 nor 66433 is prime.
Primes around the 6624th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6621 | 66383 | 6 |
| 6622 | 66403 | 20 |
| 6623 | 66413 | 10 |
| 6624 | 66431 | 18 |
| 6625 | 66449 | 18 |
| 6626 | 66457 | 8 |
| 6627 | 66463 | 6 |
Questions
What is the 6624th prime number?
66431.
Which prime number is 66431?
66431 is the 6624th prime number.
What is the sum of the first 6624 primes?
207,694,907.