What is the 6355th prime number?
The 6355th prime number is 63409. The next prime is 63419 (a gap of 10) and the one before is 63397.
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 6355th one is 63409.
- 2
63409 is prime because no prime up to ā63409 ā 251.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6355th prime is close to 6355 Ć ln(6355) ā 55651, and here it is 63409.
- 4
63409 has no twin: neither 63407 nor 63411 is prime.
Primes around the 6355th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6352 | 63389 | 12 |
| 6353 | 63391 | 2 |
| 6354 | 63397 | 6 |
| 6355 | 63409 | 12 |
| 6356 | 63419 | 10 |
| 6357 | 63421 | 2 |
| 6358 | 63439 | 18 |
Questions
What is the 6355th prime number?
63409.
Which prime number is 63409?
63409 is the 6355th prime number.
What is the sum of the first 6355 primes?
190,237,546.