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Search: id:A071174
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| A071174 |
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Numbers n such that sum of exponents = product of prime factors. |
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+0
1
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| 4, 27, 96, 144, 216, 324, 486, 2560, 3125, 6400, 16000, 40000, 57344, 100000, 200704, 250000, 625000, 702464, 823543, 1562500, 2458624, 3906250, 8605184, 23068672, 23914845, 30118144, 39858075, 66430125, 105413504, 110716875
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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57344 = 2^13.7^1 and 2*7 = 13+1 hence 57344 is in the sequence, 16000 = 2^7.5^3 and 2*5 = 7+3 hence 16000 is in the sequence.
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PROGRAM
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(PARI) for(n=1, 200000, o=omega(n); if(prod(i=1, o, component(component(factor(n), 1), i))==sum(i=1, o, component(component(factor(n), 2), i)), print1(n, ", ")))
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CROSSREFS
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Cf. A054411, A054412.
Sequence in context: A015238 A070600 A100488 this_sequence A092364 A071175 A091536
Adjacent sequences: A071171 A071172 A071173 this_sequence A071175 A071176 A071177
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KEYWORD
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easy,nonn
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), Jun 10 2002
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EXTENSIONS
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More terms from Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Jun 12 2002
More terms from Vladeta Jovovic (vladeta(AT)Eunet.yu), Jun 13 2002
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