[seqfan] Re: A269254 and A034807

Bob Selcoe rselcoe at entouchonline.net
Thu Oct 26 19:50:23 CEST 2017


>>>Do we have a fourth, fifth, etc. here that will impact our number range?

My guess is no, using rows in A034807 as a basis.

We need only consider:

1.   m >=3, and
2.   prime rows, since composite rows repeat terms generated in earlier 
rows.

Rows 2, 3 and 5 have been evaluated; 7th row only possible term is 843, but 
a(843) = 3; all other rows >= 11 generate terms > 10000.

Cheers,
Bob Selcoe

--------------------------------------------------
From: "Hans Havermann" <gladhobo at bell.net>
Sent: Thursday, October 26, 2017 4:32 AM
To: "Sequence Fanatics Discussion list" <seqfan at list.seqfan.eu>
Subject: [seqfan] Re: A269254 and A034807

> To summarize, if I wanted values up to 10000 that are known -1s:
>
> First: (7, 14, 23, 34, 47, 62, 79, 98, 119, 142, 167, 194, 223, 254, 287, 
> 322, 359, 398, 439, 482, 527, 574, 623, 674, 727, 782, 839, 898, 959, 
> 1022, 1087, 1154, 1223, 1294, 1367, 1442, 1519, 1598, 1679, 1762, 1847, 
> 1934, 2023, 2114, 2207, 2302, 2399, 2498, 2599, 2702, 2807, 2914, 3023, 
> 3134, 3247, 3362, 3479, 3598, 3719, 3842, 3967, 4094, 4223, 4354, 4487, 
> 4622, 4759, 4898, 5039, 5182, 5327, 5474, 5623, 5774, 5927, 6082, 6239, 
> 6398, 6559, 6722, 6887, 7054, 7223, 7394, 7567, 7742, 7919, 8098, 8279, 
> 8462, 8647, 8834, 9023, 9214, 9407, 9602, 9799, 9998) because they belong 
> to m^2-2.
>
> Second: (110, 322, 488, 702, 1298, 2158, 2702, 4862, 7940), excluding 
> (322, 2702) already in first, because they belong to m^3-3*m, where m+1 is 
> not prime.
>
> The case of m^4-4*m^2+2 creates only duplicates in first.
>
> Third: (123, 2525) because they belong to m^5-5*m^3+5*m, where m^2+m-1 is 
> not prime.
>
> That's 107 values so far. Do we have a fourth, fifth, etc. here that will 
> impact our number range?
>
> --
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> 


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