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Problems & Puzzles:
Puzzles
Puzzle 1285 The Left-Crescendo Serpent
Now we will permit the
serpent of the Puzzle 1284,only
grow to the left.
Except fot his change the
serpent can start in any integer from 2 to 9. This
left-crescendo can not start with the integer 1, for
obvious reasons, and will end when the quantity of
distinct prime factors is greater than 9.
For
this kind of left-crescendo serpent, Carlos Rivera
has computed the following maximum ones.
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Starting
digit, k
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Largest
left-crescendo serpent-k and digits
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2
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4575774554897537646345765459454474432454443546654446445552333344232212
(70)
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4
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73566699656366667557434736838696579623755659346464446656557544565464338435243445342543532214
(92)
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5
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95368754559456785363449896965475978445476486764363665744564476354826776325355244534452343322215
(95)
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6
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7663599448865636554365535467445348437544424365437344556555443443433342226
(73)
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8
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7368657455576637533655556434537234686464333352324422218
(55)
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9
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5365661364624366631343234634255164343125442435323432433322119
(61)
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It is reasonable to expect that something
similar will occur with k=3 & 7.
Q.
Can you get the maximum value for "Left-Serpent-3" and
Left-Serpent-7?
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