What is the 6370th prime number?
The 6370th prime number is 63559. The next prime is 63577 (a gap of 18) and the one before is 63541.
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 6370th one is 63559.
- 2
63559 is prime because no prime up to ā63559 ā 252.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6370th prime is close to 6370 Ć ln(6370) ā 55797, and here it is 63559.
- 4
63559 has no twin: neither 63557 nor 63561 is prime.
Primes around the 6370th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6367 | 63527 | 6 |
| 6368 | 63533 | 6 |
| 6369 | 63541 | 8 |
| 6370 | 63559 | 18 |
| 6371 | 63577 | 18 |
| 6372 | 63587 | 10 |
| 6373 | 63589 | 2 |
Questions
What is the 6370th prime number?
63559.
Which prime number is 63559?
63559 is the 6370th prime number.
What is the sum of the first 6370 primes?
191,189,831.