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Search: id:A102884
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| 5, 14, 18, 28, 44, 48, 52, 54, 55, 56, 68, 72, 76, 77, 85, 88, 91, 92, 95, 96, 104, 119, 125, 133, 145, 153, 154, 168, 171, 175, 182, 187, 190, 200, 203, 207, 209, 217, 222, 225, 230, 234, 238, 240, 245, 246, 248, 250, 253, 258, 261, 264, 266, 275, 279, 282, 287
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OFFSET
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1,1
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COMMENT
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Many of these are excluded because the sum of a(n)*6 and its divisors less than or equal to its square root is prime, but not always. a(3) = 18. 18*6 = 108. Adding the divisors less than or equal to the square root of 108 yields 133. 133 is not prime, but shares no common divisor with 108 greater than 1.
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EXAMPLE
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a(2) = 14 because 14*6 is 84. The divisors of 84 which are less than or equal to its square root are 1, 2, 3, 4, 6, and 7. 84+1+2+3+4+6+7 = 107. GCD(84,107)=1, so 84 is excluded from A102883. Most multiples of 6 are included in A102883, 14*6 is the second multiple to be excluded.
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CROSSREFS
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Cf. A102883.
Sequence in context: A067113 A101774 A053782 this_sequence A071852 A022139 A003248
Adjacent sequences: A102881 A102882 A102883 this_sequence A102885 A102886 A102887
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KEYWORD
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nonn
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AUTHOR
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Chuck Seggelin (seqfan(AT)plastereddragon.com), Jan 15 2005
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