What is the 3558th prime number?
The 3558th prime number is 33199. The next prime is 33203 (a gap of 4) and the one before is 33191.
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 3558th one is 33199.
- 2
33199 is prime because no prime up to ā33199 ā 182.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3558th prime is close to 3558 Ć ln(3558) ā 29094, and here it is 33199.
- 4
33199 has no twin: neither 33197 nor 33201 is prime.
Primes around the 3558th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3555 | 33179 | 18 |
| 3556 | 33181 | 2 |
| 3557 | 33191 | 10 |
| 3558 | 33199 | 8 |
| 3559 | 33203 | 4 |
| 3560 | 33211 | 8 |
| 3561 | 33223 | 12 |
Questions
What is the 3558th prime number?
33199.
Which prime number is 33199?
33199 is the 3558th prime number.
What is the sum of the first 3558 primes?
55,573,869.