What is the 6378th prime number?
The 6378th prime number is 63617. The next prime is 63629 (a gap of 12) and the one before is 63611.
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 6378th one is 63617.
- 2
63617 is prime because no prime up to ā63617 ā 252.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6378th prime is close to 6378 Ć ln(6378) ā 55875, and here it is 63617.
- 4
63617 has no twin: neither 63615 nor 63619 is prime.
Primes around the 6378th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6375 | 63601 | 2 |
| 6376 | 63607 | 6 |
| 6377 | 63611 | 4 |
| 6378 | 63617 | 6 |
| 6379 | 63629 | 12 |
| 6380 | 63647 | 18 |
| 6381 | 63649 | 2 |
Questions
What is the 6378th prime number?
63617.
Which prime number is 63617?
63617 is the 6378th prime number.
What is the sum of the first 6378 primes?
191,698,619.