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Search: id:A074471
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| A074471 |
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Sum of 2nd, 4th, 6th, 8th and 10th powers of divisors are divisible by sum of divisors. |
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+0
1
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| 1, 64, 729, 1024, 2916, 4096, 14580, 15625, 46656, 59049, 62500, 65536, 117649, 142884, 186624, 242757, 262144, 348480, 364500, 478953, 531441, 714420, 746496, 796797, 933120, 1000000, 1032256, 1771561, 2985984, 3062500, 3172608, 3187188
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OFFSET
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1,2
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EXAMPLE
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m=64,s1=127,{s2/127,s4/127,s6/127,s8/127,s10/127}= {1,43,140911,549687103,2225029922431,9086996103150463}; m=14580=54.54.5. Known cases show that terms are either squares or p.square, where p is a prime of 4k+1 form.
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CROSSREFS
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Sequence in context: A008513 A048392 A161861 this_sequence A164345 A164337 A161860
Adjacent sequences: A074468 A074469 A074470 this_sequence A074472 A074473 A074474
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Sep 17 2002
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