[seqfan] Re: Fixing A175155 Numbers n satisfying n^2 + 1 = x^2 y^3

Robert G. Wilson v rgwv at rgwv.com
Sat Nov 17 23:58:16 CET 2012


Everyone who helped work on this. I really appreciate it.
I updated the b text file and made a note in the comment line that the
search only went to y<10^5.
Again, thank you for your efforts. Bob.
P.S. While looking at the y's, were there any which were not in A077426?


-----Original Message-----
From: SeqFan [mailto:seqfan-bounces at list.seqfan.eu] On Behalf Of Robert
Gerbicz
Sent: Saturday, November 17, 2012 4:51 PM
To: Sequence Fanatics Discussion list
Subject: [seqfan] Re: Fixing A175155 Numbers n satisfying n^2 + 1 = x^2 y^3

Another missing term:
y=3145;n=3955640265913618377915483821945263099722696409\
2919472362788156899442721839388657957656291679526667728\
7332760370641317892836601834076118432130864860296617355\
5738357207759359869281378421466469507640784572183682794\
7089582636783764095008774136131443394961351246331146246\
0066620451599501356320569206677478872951346497309792214\
8231504626853767310402979432;

and there is no more solution for y<10^5 and n<10^1000.
(Counted also 292 solutions up to 10^1000, in David's post and in b-file
there are two more solutions with 1001 digits, so at least 294 solutions for
n<10^1001)

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