What is the 44th prime number?
The 44th prime number is 193. The next prime is 197 (a gap of 4) and the one before is 191.
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 44th one is 193.
- 2
193 is prime because no prime up to ā193 ā 13.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 44th prime is close to 44 Ć ln(44) ā 167, and here it is 193.
- 4
193 is a twin prime: 191 and 193 are both prime.
Primes around the 44th
| Position | Prime | Gap from the previous |
|---|---|---|
| 41 | 179 | 6 |
| 42 | 181 | 2 |
| 43 | 191 | 10 |
| 44 | 193 | 2 |
| 45 | 197 | 4 |
| 46 | 199 | 2 |
| 47 | 211 | 12 |
Questions
What is the 44th prime number?
193.
Which prime number is 193?
193 is the 44th prime number.
What is the sum of the first 44 primes?
3,831.