What is the 105th prime number?
The 105th prime number is 571. The next prime is 577 (a gap of 6) and the one before is 569.
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 105th one is 571.
- 2
571 is prime because no prime up to ā571 ā 23.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 105th prime is close to 105 Ć ln(105) ā 489, and here it is 571.
- 4
571 is a twin prime: 569 and 571 are both prime.
Primes around the 105th
| Position | Prime | Gap from the previous |
|---|---|---|
| 102 | 557 | 10 |
| 103 | 563 | 6 |
| 104 | 569 | 6 |
| 105 | 571 | 2 |
| 106 | 577 | 6 |
| 107 | 587 | 10 |
| 108 | 593 | 6 |
Questions
What is the 105th prime number?
571.
Which prime number is 571?
571 is the 105th prime number.
What is the sum of the first 105 primes?
26,940.