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Search: id:A141767
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| A141767 |
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A positive integer n is included if (p-1)*(p+1) divides n for every prime p that divides n. |
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+0
2
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| 24, 48, 72, 96, 120, 144, 192, 216, 240, 288, 336, 360, 384, 432, 480, 576, 600, 648, 672, 720, 768, 864, 960, 1008, 1080, 1152, 1200, 1296, 1320, 1344, 1440, 1536, 1680, 1728, 1800, 1920, 1944, 2016, 2160, 2304, 2352, 2400, 2592, 2640, 2688, 2880, 3000
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Every term is a multiple of 24.
Is A124240 also those positive integers n where p-1 divides n for every prime p that divides n?
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EXAMPLE
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120 has the prime factorization of 2^3 * 3^1 * 5^1. The distinct primes dividing 120 are therefore 2,3,5. (2-1)*(2+1)=3, (3-1)*(3+1)=8, and (5-1)*(5+1)=24 all divide 120. So 120 is included in the sequence.
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CROSSREFS
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Cf. A140470, A141766, A124240.
Sequence in context: A074698 A050497 A008606 this_sequence A054734 A029613 A083541
Adjacent sequences: A141764 A141765 A141766 this_sequence A141768 A141769 A141770
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KEYWORD
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nonn
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AUTHOR
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Leroy Quet (q1qq2qqq3qqqq(AT)yahoo.com), Jul 02 2008
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EXTENSIONS
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Added missing term 336 and a(14)-a(47) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Sep 27 2008
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