Why is that Factor not listed ?

Kalli Hofmann · 2017-01-12, 08:38

On the page :
http://www.mersenne.ca/exponent.php?exponentdetails=47
only two factors are listed. But M47 is fully factored.
The factor 13264529 is missing for completness.
Why is it not listed ?
Greetings from Germany ..... Kalli

Batalov · 2017-01-12, 15:55

For most "completely factored" * numbers listed on that page, last factor (a.k.a. "cofactor") is by convention not shown (because it would take pages to show, except for very small entries):
E.g. if
M... = a * b * c * cofactor
then
a, b and c prime factors are listed, and for cofactor search for the line
Remaining cofactor is a probable-prime

Furthermore, in the "Composite Factors" section, only combinations a*b, a*c, b*c will be shown but not "a*cofactor". "It is a feature, not a bug", as they say.
_______________
* there is controversy about the use of this term :-) hence it is in quotes.

Kalli Hofmann · 2017-01-13, 08:18

Thank you BATALOV

Indeed, those Factors can be very big ...... But M47 has only three factors, and the last Factor seems not too big for me. (13264529). What a pity

In Germany we say: "es es, wie es es" ... in english : "it is, how it is"
Thank you ........................ Kalli

Kalli Hofmann · 2017-01-13, 08:37

On this page:
http://www.mersenne.ca/prp.php?show=...onent=1000#M47
The last Faktor is listed.

Another Question: when look at the M59, you see PRP-13, as remaining cofactor. Is there a list, where you can see, how those PRP´s look like ?

axn · 2017-01-13, 08:59

http://www.factordb.com/index.php?query=M59

2017-01-12, 08:38	#1
Kalli Hofmann "Karl-Heinz Hofmann" Jan 2017 Gr.-Rohrheim Germany 11011₂ Posts	Why is that Factor not listed ? On the page : http://www.mersenne.ca/exponent.php?exponentdetails=47 only two factors are listed. But M47 is fully factored. The factor 13264529 is missing for completness. Why is it not listed ? Greetings from Germany ..... Kalli

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2017-01-12, 15:55	#2
Batalov "Serge" Mar 2008 Phi(4,2^7658614+1)/2 3⁶·13 Posts	For most "completely factored" * numbers listed on that page, last factor (a.k.a. "cofactor") is by convention not shown (because it would take pages to show, except for very small entries): E.g. if M... = a * b * c * cofactor then a, b and c prime factors are listed, and for cofactor search for the line Remaining cofactor is a probable-prime Furthermore, in the "Composite Factors" section, only combinations ab, ac, bc will be shown but not "acofactor". "It is a feature, not a bug", as they say. _______________ * there is controversy about the use of this term :-) hence it is in quotes.

2017-01-13, 08:18	#3
Kalli Hofmann "Karl-Heinz Hofmann" Jan 2017 Gr.-Rohrheim Germany 3³ Posts	Thank you BATALOV Indeed, those Factors can be very big ...... But M47 has only three factors, and the last Factor seems not too big for me. (13264529). What a pity In Germany we say: "es es, wie es es" ... in english : "it is, how it is" Thank you ........................ Kalli

2017-01-13, 08:37	#4
Kalli Hofmann "Karl-Heinz Hofmann" Jan 2017 Gr.-Rohrheim Germany 3³ Posts	On this page: http://www.mersenne.ca/prp.php?show=...onent=1000#M47 The last Faktor is listed. Another Question: when look at the M59, you see PRP-13, as remaining cofactor. Is there a list, where you can see, how those PRP´s look like ?

2017-01-13, 08:59	#5
axn Jun 2003 5051₁₀ Posts	http://www.factordb.com/index.php?query=M59