id:A064121 - OEIS Search Results

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Nonprime numbers n such that the sum of aliquot divisors of n (A001065) and product of aliquot divisors of n (A048741) are both perfect squares.

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1, 12, 75, 76, 124, 147, 153, 176, 243, 332, 363, 477, 507, 524, 575, 688, 867, 892, 963, 1075, 1083, 1421, 1532, 1573, 1587, 1611, 1916, 2032, 2075, 2224, 2299, 2401, 2421, 2523, 2572, 2883, 2891, 3100, 3479, 3776, 3888, 4107, 4336, 4527, 4961, 4975 (list; graph; listen)

	OFFSET	`1,2`
	MATHEMATICA	`Select[ Range[5000], IntegerQ[ Sqrt[ Apply[ Plus, Delete[ Divisors[ # ], -1]]]] && IntegerQ[ Sqrt[ Apply[ Times, Delete[Divisors[ # ], -1]]]] && ! PrimeQ[ # ] & ]`
	CROSSREFS	`Cf. A064710.` `Sequence in context: A069039 A041270 A055912 this_sequence A064116 A003368 A092867` `Adjacent sequences: A064118 A064119 A064120 this_sequence A064122 A064123 A064124`
	KEYWORD	`easy,nonn`
	AUTHOR	`Robert G. Wilson v (rgwv(AT)rgwv.com), Oct 14 2001`

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.

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