N is a positive integer. If you list the positive integers in rows of N such that the first row contains 1 to N, the second row contains N+1 to 2*N, and so on, then the first row with no prime is immediately followed by another row with no prime. What is N?
(In reply to
My solution by Jer)
Any uniqueness, if it is unique, is due to the requirement that no other gap, of the single line length (in this case 16), existed before.
Double line gaps, without that requirement, do exist:
gap ranges
17 15692 15708 15709 15725
18 16147 16164 16165 16182
21 19615 19635 19636 19656
22 25477 25498 25499 25520
25 31401 31425 31426 31450
27 31402 31428 31429 31455
31 31404 31434 31435 31465
39 155923 155961 155962 156000
41 155924 155964 155965 156005
42 360655 360696 360697 360738
47 370267 370313 370314 370360
48 370273 370320 370321 370368
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Posted by Charlie
on 2016-07-30 09:13:56 |