What is the 6379th prime number?
The 6379th prime number is 63629. The next prime is 63647 (a gap of 18) and the one before is 63617.
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 6379th one is 63629.
- 2
63629 is prime because no prime up to ā63629 ā 252.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6379th prime is close to 6379 Ć ln(6379) ā 55885, and here it is 63629.
- 4
63629 has no twin: neither 63627 nor 63631 is prime.
Primes around the 6379th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6376 | 63607 | 6 |
| 6377 | 63611 | 4 |
| 6378 | 63617 | 6 |
| 6379 | 63629 | 12 |
| 6380 | 63647 | 18 |
| 6381 | 63649 | 2 |
| 6382 | 63659 | 10 |
Questions
What is the 6379th prime number?
63629.
Which prime number is 63629?
63629 is the 6379th prime number.
What is the sum of the first 6379 primes?
191,762,248.