What is the 3560th prime number?
The 3560th prime number is 33211. The next prime is 33223 (a gap of 12) and the one before is 33203.
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 3560th one is 33211.
- 2
33211 is prime because no prime up to ā33211 ā 182.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3560th prime is close to 3560 Ć ln(3560) ā 29112, and here it is 33211.
- 4
33211 has no twin: neither 33209 nor 33213 is prime.
Primes around the 3560th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3557 | 33191 | 10 |
| 3558 | 33199 | 8 |
| 3559 | 33203 | 4 |
| 3560 | 33211 | 8 |
| 3561 | 33223 | 12 |
| 3562 | 33247 | 24 |
| 3563 | 33287 | 40 |
Questions
What is the 3560th prime number?
33211.
Which prime number is 33211?
33211 is the 3560th prime number.
What is the sum of the first 3560 primes?
55,640,283.