What is the 3555th prime number?
The 3555th prime number is 33179. The next prime is 33181 (a gap of 2) and the one before is 33161.
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 3555th one is 33179.
- 2
33179 is prime because no prime up to ā33179 ā 182.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3555th prime is close to 3555 Ć ln(3555) ā 29066, and here it is 33179.
- 4
33179 is a twin prime: 33179 and 33181 are both prime.
Primes around the 3555th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3552 | 33149 | 30 |
| 3553 | 33151 | 2 |
| 3554 | 33161 | 10 |
| 3555 | 33179 | 18 |
| 3556 | 33181 | 2 |
| 3557 | 33191 | 10 |
| 3558 | 33199 | 8 |
Questions
What is the 3555th prime number?
33179.
Which prime number is 33179?
33179 is the 3555th prime number.
What is the sum of the first 3555 primes?
55,474,298.