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## Re: 13-chains of consecutive smooth numbers

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• ... No, I think that log/log ratio has no limit. ... Brute force search yielded: N = 505756884840 for 14-chain N = 285377140980 for 15-chain N = 32290958458
Message 1 of 17 , Mar 5, 2012
> Andrey's chain puzzle is interesting. Could it
> be he already has found the maximum possible
> result for chain length 13?

No, I think that log/log ratio has no limit.

> Perhaps the 14-chain at N = 4532039198639948
> might be a good result? What are the best known
> results for 14 or longer chains?

Brute force search yielded:
N = 505756884840 for 14-chain
N = 285377140980 for 15-chain
N = 32290958458 for 16-chain
as listed in http://www.primefan.ru/stuff/math/maxs.xls
(there k+1 is chain length)

Best regards,

Andrey
• Andrey,   I can t use that file, I don t have XL.  Any chance of a text export? eg comma-separated fields     ________________________________ From:
Message 2 of 17 , Mar 5, 2012
Andrey,

I can't use that file, I don't have XL.  Any chance
of a text export? eg comma-separated fields

________________________________
From: Andrey Kulsha <Andrey_601@...>
Sent: Tuesday, 6 March 2012, 6:28
Subject: [PrimeNumbers] Re: 13-chains of consecutive smooth numbers

> Andrey's chain puzzle is interesting. Could it
> be he already has found the maximum possible
> result for chain length 13?

No, I think that log/log ratio has no limit.

> Perhaps the 14-chain at N = 4532039198639948
> might be a good result? What are the best known
> results for 14 or longer chains?

Brute force search yielded:
N = 505756884840 for 14-chain
N = 285377140980 for 15-chain
N = 32290958458 for 16-chain
as listed in http://www.primefan.ru/stuff/math/maxs.xls
(there k+1 is chain length)

Best regards,

Andrey

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