What is the 6523rd prime number?
The 6523rd prime number is 65293. The next prime is 65309 (a gap of 16) and the one before is 65287.
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 6523rd one is 65293.
- 2
65293 is prime because no prime up to ā65293 ā 255.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6523rd prime is close to 6523 Ć ln(6523) ā 57292, and here it is 65293.
- 4
65293 has no twin: neither 65291 nor 65295 is prime.
Primes around the 6523rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6520 | 65267 | 10 |
| 6521 | 65269 | 2 |
| 6522 | 65287 | 18 |
| 6523 | 65293 | 6 |
| 6524 | 65309 | 16 |
| 6525 | 65323 | 14 |
| 6526 | 65327 | 4 |
Questions
What is the 6523rd prime number?
65293.
Which prime number is 65293?
65293 is the 6523rd prime number.
What is the sum of the first 6523 primes?
201,045,262.