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kruoli 2021-05-17 08:20

[M]M103830131[/M] has a 157.127-bit (48-digit) [b]composite[/b] (P24+P24) factor: [url=https://www.mersenne.ca/M103830131]199531333730879095999006796725214407904194653871[/url] (P-1,B1=1708000)

While the composite factor itself it not extremely interesting by itself, I find it interesting because:
- it was found in stage 1.
- the prime factors are very similar in size (78.460 and 78.667 bits).

The prime factors are 415767534785818078323247 and 479910808412848576977793.

axn 2021-05-17 08:56

Nice!

LaurV 2021-05-29 14:38

M106722533 has an 110 bits factor 771972811871697820846912678000249.

Albeit 110 bits is not a joke, the factor is not a record in itself, but it is quite large and nice, considering the fact that was found in stage 1 (yes, it is [URL="https://www.mersenne.ca/exponent/106722533"]sooo smooth[/URL], like ice cream!)

Viliam Furik 2021-05-29 15:00

[QUOTE=LaurV;579389]M106722533 has an [STRIKE]110[/STRIKE] bits factor 771972811871697820846912678000249. [/QUOTE]

Liar! Only 109 bits, 109.25 to be more exact. :razz:

James Heinrich 2021-05-29 15:17

[QUOTE=Viliam Furik;579393]Liar! Only 109 bits, 109.25 to be more exact. :razz:[/QUOTE]Why stop there? 109.25024907447 :whee:

But LaurV isn't wrong, the factor does take 110 bits to represent. You don't say it's 32.8876 decimal digits long. :smile:

Dr Sardonicus 2021-05-30 13:41

[QUOTE=Viliam Furik;579393][QUOTE=LaurV;579389]M106722533 has an [STRIKE]110[/STRIKE] bits factor 771972811871697820846912678000249. [/QUOTE]Liar! Only 109 bits, 109.25 to be more exact. :razz:[/QUOTE]Oops.

From my "I can't count" liturgy:

[b]Versicle:[/b] How many bits in two to the first power?

[b]Responsory:[/b] Two, two.

[b]Versicle:[/b] How many decimal digits in ten to the first power?

[b]Responsory:[/b] Two, two.

From the output of Pari-GP:
[code]? v=binary(771972811871697820846912678000249)
%1 = [1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1]
? #v
%2 = 110
?[/code]

Uncwilly 2021-05-30 16:17

A nice run of the mill 79 bit factor: 1025757166134493292294953
But, it was found when I poached (not sorry) a stalled P-1 that was in the lowest 25 exponents for FTC.
[M]103547179[/M]
There are others down there that have zero check ins since assigned and are more than a month old and thus have violated the rules for Cat 0 (but the rules do seem to apply to P-1 assignments down in the low FTC's)[LIST][*]Must be completed in 30 days[*]Assignments are recycled if assignment is not started with 7 days or when assignment is more than 30 days old.[/LIST]

chalsall 2021-05-30 16:41

[QUOTE=Uncwilly;579496]There are others down there that have zero check ins since assigned and are more than a month old and thus have violated the rules for Cat 0 (but the rules do seem to apply to P-1 assignments down in the low FTC's)[/QUOTE]

Just so you know, I'm working on those held by ANONYMOUS and Kas. Should all be done in about three days (assuming Colab cooperates).

Uncwilly 2021-05-30 18:26

[QUOTE=chalsall;579497]Just so you know, I'm working on those held by ANONYMOUS and Kas. Should all be done in about three days (assuming Colab cooperates).[/QUOTE]
I have been working bottom up getting about 9 every 5 days.

chalsall 2021-05-30 22:22

[QUOTE=Uncwilly;579503]I have been working bottom up getting about 9 every 5 days.[/QUOTE]

Yeah. I am aware you are on a certain team... :tu:

Just wanted to declare intentions, so we didn't duplicate efforts. A Compute Cycle is a terrible thing to waste! :wink:

Viliam Furik 2021-05-30 22:34

[QUOTE=James Heinrich;579396]Why stop there? 109.25024907447 :whee:

But LaurV isn't wrong, [B]the factor does take 110 bits to represent[/B]. You don't say it's 32.8876 decimal digits long. :smile:[/QUOTE]

Oh, didn't realize that. Sorry, LaurV.


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