Solnov2205

Here is a solution from landen:

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

Here is a solution with all big digits proposed by zeno computed by landen

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

N/5^1000 = 455844570363328929682289352930620078507634638888167288030574084152434527658 61652594016881776023266406865124079842878154183051642495520641403649838561349536 54364964811465302028555745541200636841282353999670984029608695497123584863697785 789522602157514890025107599273066759578386386415688231959359583397

checked by Pari, be nice to have some other checkers.

To factor the quotient with Pari put the following lines in a text file called factor.txt in your Pari directory.

k = 455844570363328929682289352930620078507634638888167288030574084152434527658\ 61652594016881776023266406865124079842878154183051642495520641403649838561349536\ 54364964811465302028555745541200636841282353999670984029608695497123584863697785\ 789522602157514890025107599273066759578386386415688231959359583397

be sure to have an "enter" each line including the last.

then start Pari and type at the prompt \r factor.txt "enter" and then at the next prompt, type factor(k) "enter"