What is the 6625th prime number?
The 6625th prime number is 66449. The next prime is 66457 (a gap of 8) and the one before is 66431.
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 6625th one is 66449.
- 2
66449 is prime because no prime up to ā66449 ā 257.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6625th prime is close to 6625 Ć ln(6625) ā 58291, and here it is 66449.
- 4
66449 has no twin: neither 66447 nor 66451 is prime.
Primes around the 6625th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6622 | 66403 | 20 |
| 6623 | 66413 | 10 |
| 6624 | 66431 | 18 |
| 6625 | 66449 | 18 |
| 6626 | 66457 | 8 |
| 6627 | 66463 | 6 |
| 6628 | 66467 | 4 |
Questions
What is the 6625th prime number?
66449.
Which prime number is 66449?
66449 is the 6625th prime number.
What is the sum of the first 6625 primes?
207,761,356.