What is the 6377th prime number?
The 6377th prime number is 63611. The next prime is 63617 (a gap of 6) and the one before is 63607.
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 6377th one is 63611.
- 2
63611 is prime because no prime up to ā63611 ā 252.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6377th prime is close to 6377 Ć ln(6377) ā 55865, and here it is 63611.
- 4
63611 has no twin: neither 63609 nor 63613 is prime.
Primes around the 6377th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6374 | 63599 | 10 |
| 6375 | 63601 | 2 |
| 6376 | 63607 | 6 |
| 6377 | 63611 | 4 |
| 6378 | 63617 | 6 |
| 6379 | 63629 | 12 |
| 6380 | 63647 | 18 |
Questions
What is the 6377th prime number?
63611.
Which prime number is 63611?
63611 is the 6377th prime number.
What is the sum of the first 6377 primes?
191,635,002.