[seqfan] Re: The two square composite sequence.
DAN_CYN_J
dan_cyn_j at comcast.net
Mon Sep 2 04:08:00 CEST 2013
Hi Robert
But they are 0(mod 3 or 5) composites and not allowed.
Thanks for your input
----- Original Message -----
From: "Robert G. Wilson v" <rgwv at rgwv.com>
To: "Sequence Fanatics Discussion list" <seqfan at list.seqfan.eu>
Sent: Sunday, September 1, 2013 8:12:10 PM
Subject: [seqfan] Re: The two square composite sequence.
4, 81, 77
9, 100, 91
25, 144, 119
36, 169, 133
1, 144, 143
64, 225, 161
9, 196, 187
121, 324, 203
But also:
1, 16, 15
4, 25, 21
9, 64, 55
16, 25, 9
25, 64, 39
36, 121, 85
49, 64, 15
64, 121, 57
81, 196, 115
100, 121, 21
121, 324, 203
144, 169, 25
169, 256, 87
196, 289, 93
225, 484, 259
256, 289, 33
289, 324, 35
324, 529, 205
361, 400, 39
400, 529, 129
etc.
Sincerely yours, Bob.
-----Original Message-----
From: SeqFan [mailto:seqfan-bounces at list.seqfan.eu] On Behalf Of DAN_CYN_J
Sent: Sunday, September 01, 2013 5:10 PM
To: Sequence Fanatics Discussion list
Subject: [seqfan] The two square composite sequence.
The two squares associated with each semi-prime composite.
The rules for the simi-prime composite is no composite will be a 0(mod 3 or
5) Each of it's two factors will be of equal length or 1 digit less like
7*11 =77 is the first composite in the 3rd index of the sequence. The two
previous index are just the two squares that is the solution to the
composites two factors.
So every third term is a composite and the two previous terms are it's
associated squares as solutions.
Which is the solution to x^2 - c = y^2 where c = a semi-prime composite and
is known as the Fermat factoring method.
The sequence begins --
4,81,77,9,100,91,25,144,119,36,169,133,1,144,143,64,225,161,9,196,187,121,32
4,203...
Dan
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