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Search: id:A060275
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A060275 Numbers of form a+b+c=x+y+z with a*b*c=x*y*z, where 1<=a<=b<=c, 1<=x<=y<=z, p_k = k-th prime; i=(p_a)*(p_b)*(p_c), j=(p_x)*(p_y)*(p_z), i != j. +0
2
13, 14, 16, 17, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83 (list; graph; listen)
OFFSET

1,1

COMMENT

Conjecture: we always have gcd(i,j)=1.

EXAMPLE

13=6+6+1=9+2+2, 6*6*1=9*2*2, so 13 is in the sequence.

CROSSREFS

Sequence in context: A106007 A048037 A054031 this_sequence A083984 A079495 A076204

Adjacent sequences: A060272 A060273 A060274 this_sequence A060276 A060277 A060278

KEYWORD

easy,nonn

AUTHOR

Naohiro Nomoto (6284968128(AT)geocities.co.jp), Mar 23 2001

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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