What is the 3523rd prime number?
The 3523rd prime number is 32843. The next prime is 32869 (a gap of 26) and the one before is 32839.
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 3523rd one is 32843.
- 2
32843 is prime because no prime up to ā32843 ā 181.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3523rd prime is close to 3523 Ć ln(3523) ā 28773, and here it is 32843.
- 4
32843 has no twin: neither 32841 nor 32845 is prime.
Primes around the 3523rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3520 | 32831 | 28 |
| 3521 | 32833 | 2 |
| 3522 | 32839 | 6 |
| 3523 | 32843 | 4 |
| 3524 | 32869 | 26 |
| 3525 | 32887 | 18 |
| 3526 | 32909 | 22 |
Questions
What is the 3523rd prime number?
32843.
Which prime number is 32843?
32843 is the 3523rd prime number.
What is the sum of the first 3523 primes?
54,417,632.