What is the 104th prime number?
The 104th prime number is 569. The next prime is 571 (a gap of 2) and the one before is 563.
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 104th one is 569.
- 2
569 is prime because no prime up to ā569 ā 23.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 104th prime is close to 104 Ć ln(104) ā 483, and here it is 569.
- 4
569 is a twin prime: 569 and 571 are both prime.
Primes around the 104th
| Position | Prime | Gap from the previous |
|---|---|---|
| 101 | 547 | 6 |
| 102 | 557 | 10 |
| 103 | 563 | 6 |
| 104 | 569 | 6 |
| 105 | 571 | 2 |
| 106 | 577 | 6 |
| 107 | 587 | 10 |
Questions
What is the 104th prime number?
569.
Which prime number is 569?
569 is the 104th prime number.
What is the sum of the first 104 primes?
26,369.