What is the 6619th prime number?
The 6619th prime number is 66373. The next prime is 66377 (a gap of 4) and the one before is 66361.
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 6619th one is 66373.
- 2
66373 is prime because no prime up to ā66373 ā 257.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6619th prime is close to 6619 Ć ln(6619) ā 58232, and here it is 66373.
- 4
66373 has no twin: neither 66371 nor 66375 is prime.
Primes around the 6619th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6616 | 66347 | 4 |
| 6617 | 66359 | 12 |
| 6618 | 66361 | 2 |
| 6619 | 66373 | 12 |
| 6620 | 66377 | 4 |
| 6621 | 66383 | 6 |
| 6622 | 66403 | 20 |
Questions
What is the 6619th prime number?
66373.
Which prime number is 66373?
66373 is the 6619th prime number.
What is the sum of the first 6619 primes?
207,362,900.