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A080258
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Either 4th power of a prime, or product of a prime and the square of a different prime.
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7
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12, 16, 18, 20, 28, 44, 45, 50, 52, 63, 68, 75, 76, 81, 92, 98, 99, 116, 117, 124, 147, 148, 153, 164, 171, 172, 175, 188, 207, 212, 236, 242, 244, 245, 261, 268, 275, 279, 284, 292, 316, 325, 332, 333, 338, 356, 363, 369, 387, 388, 404, 412, 423, 425, 428, 436
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OFFSET
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1,1
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COMMENTS
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Numbers that equal the product of the proper divisors of their proper divisors. - Scott R. Shannon, Jul 04 2021
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LINKS
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FORMULA
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EXAMPLE
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81=3*3*3*3 and 50=2*5*5 are terms.
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MATHEMATICA
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Module[{nn=20, p4, sdp}, p4=Prime[Range[nn]]^4; sdp=#[[1]] #[[2]]^2&/@ Select[ Tuples[Prime[Range[nn]], 2], #[[1]]!=#[[2]]&]; Take[Join[p4, sdp]// Union, 40]] (* Harvey P. Dale, Jan 31 2021 *)
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PROG
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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