What is the 6351st prime number?
The 6351st prime number is 63377. The next prime is 63389 (a gap of 12) and the one before is 63367.
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 6351st one is 63377.
- 2
63377 is prime because no prime up to ā63377 ā 251.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6351st prime is close to 6351 Ć ln(6351) ā 55612, and here it is 63377.
- 4
63377 has no twin: neither 63375 nor 63379 is prime.
Primes around the 6351st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6348 | 63353 | 6 |
| 6349 | 63361 | 8 |
| 6350 | 63367 | 6 |
| 6351 | 63377 | 10 |
| 6352 | 63389 | 12 |
| 6353 | 63391 | 2 |
| 6354 | 63397 | 6 |
Questions
What is the 6351st prime number?
63377.
Which prime number is 63377?
63377 is the 6351st prime number.
What is the sum of the first 6351 primes?
189,983,960.