What is the 3557th prime number?
The 3557th prime number is 33191. The next prime is 33199 (a gap of 8) and the one before is 33181.
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 3557th one is 33191.
- 2
33191 is prime because no prime up to ā33191 ā 182.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3557th prime is close to 3557 Ć ln(3557) ā 29084, and here it is 33191.
- 4
33191 has no twin: neither 33189 nor 33193 is prime.
Primes around the 3557th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3554 | 33161 | 10 |
| 3555 | 33179 | 18 |
| 3556 | 33181 | 2 |
| 3557 | 33191 | 10 |
| 3558 | 33199 | 8 |
| 3559 | 33203 | 4 |
| 3560 | 33211 | 8 |
Questions
What is the 3557th prime number?
33191.
Which prime number is 33191?
33191 is the 3557th prime number.
What is the sum of the first 3557 primes?
55,540,670.