Problems & Puzzles: Puzzles

 

 

Problems & Puzzles: Puzzles

Puzzle 1286 The Left&Right Crescendo Serpent

Now we will permit the serpent of the Puzzle 1284 and Puzzle 1285 to grow simultaneously by both sides: Left & Right.

The permitted initial digit D will be only from 2 to 9.

These new conditions will produce always palindromes numbers.

Here are my results

D

Greatest Left&Right Serpent

2

675747598456468365664856844573737476565557554437566445344444331121133444443544665734455755565674737375448658466563864654895747576 (129)

3

 Not known. Unfinished after 149 digits)

4

4786596874575678566586943934836534665617465555333547543133214123313457453335555647165664356384393496856658765754786956874 (121)

5

5555568254633572335232332115112332325332753364528655555 (55)

6

464964694646845645896657743651365775349484664866364461133445113422262224311544331164463668466484943577563156347756698546548646496469464 (135)

7

 Not known. Unfinished after 145 digits)

8

449436765266264444467656358548585452365436335443331181133344533634563254585845853656764444462662567634944 (105)

9

 Not known. Unfinished after 155 digits)



It is reasonable to expect that something similar will occur for D = 3, 7 & 9.

Q. Can you get the maximum value for Left & Right Crescendo Serpent, for D=3, 7 & 9?



 






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