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A096290 Prime power perfect numbers: If n=Product p_i^r_i let PPsigma(n)= Product {Sum p_i^s_i, 2<=s_i<=r_i, s_i is prime}; sequence gives numbers n such that PPsigma(n)=2*n. +0
6
216, 5400, 10584, 26136, 36504, 62424, 77976, 114264, 181656, 207576, 264600, 295704, 363096, 399384, 477144, 606744, 653400, 751896, 803736, 912600, 969624, 1088856, 1149984, 1151064, 1280664, 1348056, 1488024, 1560600, 1710936, 1788696 (list; graph; listen)
OFFSET

1,1

EXAMPLE

Example: 5400 is in the sequence because 5400=2^3*3^3*5^2 and (2^2+2^3)*(3^2+3^3)*(5^2)=2*5400.

CROSSREFS

Cf. A100509.

Sequence in context: A017463 A114060 A128964 this_sequence A017595 A131643 A046234

Adjacent sequences: A096287 A096288 A096289 this_sequence A096291 A096292 A096293

KEYWORD

nonn

AUTHOR

Yasutoshi Kohmoto (zbi74583(AT)boat.zero.ad.jp), Jun 24 2004

EXTENSIONS

Corrected and extended by Farideh Firoozbakht (f.firoozbakht(AT)sci.ui.ac.ir), Nov 17 2004

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Last modified December 10 12:37 EST 2009. Contains 170569 sequences.


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