What is the 3556th prime number?
The 3556th prime number is 33181. The next prime is 33191 (a gap of 10) and the one before is 33179.
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 3556th one is 33181.
- 2
33181 is prime because no prime up to ā33181 ā 182.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3556th prime is close to 3556 Ć ln(3556) ā 29075, and here it is 33181.
- 4
33181 is a twin prime: 33179 and 33181 are both prime.
Primes around the 3556th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3553 | 33151 | 2 |
| 3554 | 33161 | 10 |
| 3555 | 33179 | 18 |
| 3556 | 33181 | 2 |
| 3557 | 33191 | 10 |
| 3558 | 33199 | 8 |
| 3559 | 33203 | 4 |
Questions
What is the 3556th prime number?
33181.
Which prime number is 33181?
33181 is the 3556th prime number.
What is the sum of the first 3556 primes?
55,507,479.