A124240 = n's where (p-1)|n for all primes p|n?

[Edwin Clark]

On Fri, 27 Jun 2008, Leroy Quet wrote:

> Does sequence A124240, with the possible exception of the initial 1, also equal the sequence of those positive integers n where (p-1) divides n for all primes p that divide n?
>

According to my calculation your conjecture is true for n to 1000: The 
sequence A124240 checking n to 1000 against both definitions is: (But 
don't ask me why!)

1, 2, 4, 6, 8, 12, 16, 18, 20, 24, 32, 36, 40, 42, 48, 54, 60, 64, 72, 80, 
84, 96, 100, 108, 120, 126, 128, 144, 156, 160, 162, 168, 180, 192, 200, 
216, 220, 240, 252, 256, 272, 288, 294, 300, 312, 320, 324, 336, 342, 360, 
378, 384, 400, 420, 432, 440, 468, 480, 486, 500, 504, 512, 540, 544, 576, 
588, 600, 624, 640, 648, 660, 672, 684, 720, 756, 768, 780, 800, 816, 840, 
864, 880, 882, 900, 936, 960, 972, 1000