

A064121


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.


2



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
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OFFSET

1,2


LINKS

Amiram Eldar, Table of n, a(n) for n = 1..10000


MATHEMATICA

Select[ Range[5000], IntegerQ[ Sqrt[ Apply[ Plus, Delete[ Divisors[ # ], 1]]]] && IntegerQ[ Sqrt[ Apply[ Times, Delete[Divisors[ # ], 1]]]] && ! PrimeQ[ # ] & ]


CROSSREFS

Variant of A064116.  R. J. Mathar, Oct 02 2008
Cf. A064710.
Sequence in context: A041270 A055912 A346446 * A064116 A003368 A246767
Adjacent sequences: A064118 A064119 A064120 * A064122 A064123 A064124


KEYWORD

easy,nonn


AUTHOR

Robert G. Wilson v, Oct 14 2001


STATUS

approved



