What is the 3561st prime number?
The 3561st prime number is 33223. The next prime is 33247 (a gap of 24) and the one before is 33211.
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 3561st one is 33223.
- 2
33223 is prime because no prime up to ā33223 ā 182.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3561st prime is close to 3561 Ć ln(3561) ā 29121, and here it is 33223.
- 4
33223 has no twin: neither 33221 nor 33225 is prime.
Primes around the 3561st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3558 | 33199 | 8 |
| 3559 | 33203 | 4 |
| 3560 | 33211 | 8 |
| 3561 | 33223 | 12 |
| 3562 | 33247 | 24 |
| 3563 | 33287 | 40 |
| 3564 | 33289 | 2 |
Questions
What is the 3561st prime number?
33223.
Which prime number is 33223?
33223 is the 3561st prime number.
What is the sum of the first 3561 primes?
55,673,506.