What is the 41st prime number?
The 41st prime number is 179. The next prime is 181 (a gap of 2) and the one before is 173.
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 41st one is 179.
- 2
179 is prime because no prime up to ā179 ā 13.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 41st prime is close to 41 Ć ln(41) ā 152, and here it is 179.
- 4
179 is a twin prime: 179 and 181 are both prime.
Primes around the 41st
| Position | Prime | Gap from the previous |
|---|---|---|
| 38 | 163 | 6 |
| 39 | 167 | 4 |
| 40 | 173 | 6 |
| 41 | 179 | 6 |
| 42 | 181 | 2 |
| 43 | 191 | 10 |
| 44 | 193 | 2 |
Questions
What is the 41st prime number?
179.
Which prime number is 179?
179 is the 41st prime number.
What is the sum of the first 41 primes?
3,266.