What is the 6361st prime number?
The 6361st prime number is 63467. The next prime is 63473 (a gap of 6) and the one before is 63463.
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 6361st one is 63467.
- 2
63467 is prime because no prime up to ā63467 ā 251.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6361st prime is close to 6361 Ć ln(6361) ā 55709, and here it is 63467.
- 4
63467 has no twin: neither 63465 nor 63469 is prime.
Primes around the 6361st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6358 | 63439 | 18 |
| 6359 | 63443 | 4 |
| 6360 | 63463 | 20 |
| 6361 | 63467 | 4 |
| 6362 | 63473 | 6 |
| 6363 | 63487 | 14 |
| 6364 | 63493 | 6 |
Questions
What is the 6361st prime number?
63467.
Which prime number is 63467?
63467 is the 6361st prime number.
What is the sum of the first 6361 primes?
190,618,198.