What is the 3559th prime number?
The 3559th prime number is 33203. The next prime is 33211 (a gap of 8) and the one before is 33199.
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 3559th one is 33203.
- 2
33203 is prime because no prime up to ā33203 ā 182.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3559th prime is close to 3559 Ć ln(3559) ā 29103, and here it is 33203.
- 4
33203 has no twin: neither 33201 nor 33205 is prime.
Primes around the 3559th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3556 | 33181 | 2 |
| 3557 | 33191 | 10 |
| 3558 | 33199 | 8 |
| 3559 | 33203 | 4 |
| 3560 | 33211 | 8 |
| 3561 | 33223 | 12 |
| 3562 | 33247 | 24 |
Questions
What is the 3559th prime number?
33203.
Which prime number is 33203?
33203 is the 3559th prime number.
What is the sum of the first 3559 primes?
55,607,072.