1.1 KiB
1.1 KiB
| id | title | challengeType | forumTopicId | dashedName |
|---|---|---|---|---|
| 5900f4931000cf542c50ffa4 | Problem 293: Pseudo-Fortunate Numbers | 5 | 301945 | problem-293-pseudo-fortunate-numbers |
--description--
An even positive integer N will be called admissible, if it is a power of 2 or its distinct prime factors are consecutive primes.
The first twelve admissible numbers are 2,4,6,8,12,16,18,24,30,32,36,48.
If N is admissible, the smallest integer M > 1 such that N+M is prime, will be called the pseudo-Fortunate number for N.
For example, N=630 is admissible since it is even and its distinct prime factors are the consecutive primes 2,3,5 and 7. The next prime number after 631 is 641; hence, the pseudo-Fortunate number for 630 is M=11. It can also be seen that the pseudo-Fortunate number for 16 is 3.
Find the sum of all distinct pseudo-Fortunate numbers for admissible numbers N less than 109.
--hints--
euler293() should return 2209.
assert.strictEqual(euler293(), 2209);
--seed--
--seed-contents--
function euler293() {
return true;
}
euler293();
--solutions--
// solution required