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Search: id:A071837
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A071837 Numbers n with property that in prime factorization of n all prime exponents are prime, their sum is also prime and equals the sum of distinct prime factors of n. +0
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4, 27, 72, 108, 800, 3125, 12500, 247808, 823543, 37879808, 190512000, 266716800, 428652000, 529200000, 600112800, 1234800000, 1452124800, 2420208000, 2679075000, 3307500000, 7351381800, 7441875000, 7717500000, 9376762500 (list; graph; listen)
OFFSET

1,1

EXAMPLE

800 is a term as 800=2^5*5^2, 2+5=5+2=7 and 7,5,2 are primes.

CROSSREFS

Cf. A054411, A008472, A001222, A056166, A070215.

Sequence in context: A054412 A122405 A122406 this_sequence A015238 A070600 A100488

Adjacent sequences: A071834 A071835 A071836 this_sequence A071838 A071839 A071840

KEYWORD

nonn,nice

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Jun 08 2002

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


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