about A001414

[Roger CUCULIERE]

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ID Number: A001414 (Formerly M0461 and N0168)
Sequence:  0,2,3,4,5,5,7,6,6,7,11,7,13,9,8,8,17,8,19,9,10,13,23,9,10,
           15,9,11,29,10,31,10,14,19,12,10,37,21,16,11,41,12,43,15,11,
           25,47,11,14,12,20,17,53,11,16,13,22,31,59,12,61,33,13,12,18,
           16,67,21,26,14,71,12,73,39,13,23,18,18
Name:      Integer log of n: sum of primes dividing n (with repetition).
Comments:  Sometimes called sopfr(n).
           Consider all ways of writing n as a product; sequence gives smallest sum
              of terms. - Amarnath Murthy (amarnath_murthy at yahoo.com), Jul 07 2001
           a(n)=n iff n is prime.
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It seems there is a small mistake :  a(n)=n iff n is prime OR n=4.

Best regards,

Roger CUCULIÈRE
35, Rue d'Alsace
92110 CLICHY LA GARENNE
Tél. 01 47 39 23 14
Mobile : 06 83 01 29 45
cuculier at imaginet.fr
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