[QUOTE=wblipp;229749]I answered your new questions.


[/QUOTE]

On the contrary: You have repeatedly ignored the basic question:
"What is the goal of the project?"

[quote=R.D. Silverman;229751]On the contrary: You have repeatedly ignored the basic question:
"What is the goal of the project?"[/quote]

As Cunningham and 17 or Bust projects and others to waste electric energy...:razz:

sigma(3158528101^18) from t380.txt, factored at last:
prp62 factor: 17615993884071746149338431634288058577837734824465607887452159
prp97 factor: 1949380572167305776281360030371413030625505830427439990019456039793029368493050997995861192401141

Chris K

[code]sigma(307^70):
r1=363730857783197211651226906301747670694796997354379 (pp51)
r2=1248231711745636858878129497140473197325387764870334367506177010662410618196496087 (pp82)

Also two more ECM results:
sigma(1525575237370638653110357646433445014962112518093312283464504447369055105409481773422271205218719457^2)
********** Factor found in step 2: 588669318355635319736568628271431
Found probable prime factor of 33 digits: 588669318355635319736568628271431
Composite cofactor 83987632281322440476109722738292813305469336377965920056729001079046614097963556873864399021176657512218431167192637625810838931712078815949747276549267973 has 155 digits

sigma(62988318105539913763^10)
********** Factor found in step 1: 33805799740057795407626984450796822767
Found probable prime factor of 38 digits: 33805799740057795407626984450796822767
Composite cofactor 432955579633241854100594847776335099114795211832193946809754531935264719105693094878062747125136553268227079935268720047123766765555775160092045726999957 has 153 digits[/code]

Chris K

From Pascal's t600.txt, sigma(1009^72) = P57 * P78 * P83

ECM to t50 by yoyo@home
SNFS sieving by RSALS
Post Processing by Carlos Pinho

[code]sigma(1009^72) = P57 * P78 * P83

P57: 124656925269617644662615091721439056555659696980174254161
P78: 452109933356186138148109476605298632894686115130064849537277971521239910388097
P83: 33855882872049656714353035709819257291242291190785102542126846988903986286098495673[/code]

For more background see Pascal's web [URL="http://www.lri.fr/~ochem/opn/"]site[/URL]. Composites from [URL="http://www.lri.fr/~ochem/opn/t600.txt"]t600.txt [/URL]are "first composites" encountered in the factor chain proof that there is no odd perfect number less than 10^600. These factors are desired because they will always be used even at higher bounds - the later discovery of other factorizations will never cause these factorizations to disappear from the factor chain.

From t400.txt:
sigma(9181^46):
r1=9271791645416937102656525660623842018738050630675266426188523573 (pp64)
r2=582429152484653228401301053407888006953685409042541646034732821503694366745443758458547059212653 (pp96)

And 3 more ECM results
[code] ********** Factor found in step 2: 19701817629733973795395702368437251
Found probable prime factor of 35 digits: 19701817629733973795395702368437251
Composite cofactor 1004538071831831381778514701493011447822079158197211308695749973496769581253194499161478034991814690134885645283023222438728962510591980131679747128812968428058359415829184029337274010211 has 187 digits
********** Factor found in step 2: 526089971278359986211688640366243401
Found probable prime factor of 36 digits: 526089971278359986211688640366243401
Composite cofactor 7221146274629317743680848604475069431619411511303273005623058019061475244835227729124655649793157541865403321612393635097862230327999795791462892904045337888468561230577177974518176102971016035152895348861728939911 has 214 digits
********** Factor found in step 2: 3602770895869120485757327699729063
Found probable prime factor of 34 digits: 3602770895869120485757327699729063
Composite cofactor 19843585173890210313852744760363920090569623251477856081973237591751171789702069067111152282955496126154506710907076893366055787368133548331066390814999367983979882814164548763432609894065843377162268434070700393655120249 has 221 digits
[/code]
Chris K

The factorization of the roadblock P38^7-1 = P52*P175.

ECM to t50 by Pascal Ochem and yoyo@home
SNFS sieving by RSALS
Post Processing by Carlos Pinho

[code]
The roadblock was

sigma(61^22) = 47 * 40957844886377442763169709027626155549
sigma(40957844886377442763169709027626155549^6) = C226
sigma(47^2) = 37 * 61
sigma(37^190) = C298

C226 = P52*P175

P52: 1796128352123123384295984705700316237735846666067841
P175: 2628362203218139907399145890042341106136825425728168212944978670486776101610470289161784282391729996669816333273938068668323721631486065413672823809251954005970811206443980611
[/code]

The next result from t400.txt:
sigma(1803647^28)
r1=25212934051574884037218330901265934522958781427668063277 (pp56)
r2=9590443522331109206595855470838214398959933659347549064598917364110826837313020238903895554919678544521901 (pp106)

And 2 more ECM results:
[code] ********** Factor found in step 2: 42942283720733014517088924671
Found probable prime factor of 29 digits: 42942283720733014517088924671
Composite cofactor 2708979862067118659769860207798912918691599300352374681686878320397607181258062591500811586251686378692372161767017015210295288631702837822884335015276149562931235737309614734731436862561972665709234604465833201740846974202794379077662494827604896578011801260624401 has 265 digits

********** Factor found in step 1: 19876181943980896712800799657
Found probable prime factor of 29 digits: 19876181943980896712800799657
Composite cofactor 611886707876588321090641684259327873675927716146074745629782734758074321234057845775587114364722314608562716526240131838493281576978101946366064278467375584945536501635573498792621058026999655228883328323521046376740282042794580973036368475354793778313185031349330806157 has 270 digits
[/code]
Chris K

Another result from t400.txt:
r1=169907146997624256552005846827254435086720789 (pp45)
r2=1681668285592396730614420225957261553902780830902031112434864132480954909595736075701043758055737 (pp97)

And three more ECM results from t1200.txt:
[code]Sigma(364440288758383648351^16)
********** Factor found in step 2: 43496995805906176070591805257057
Found probable prime factor of 32 digits: 43496995805906176070591805257057
Composite cofactor 2226193192860940982800192903172993393474512422847062975672471704528898375942442639030599102403352579552157133305531709538953523791847675600203984351435906807352041163203037309031169280019756158735392321520694609182918469365760464616808770625326170472607855518257744638519784501321435408747132722081 has 298 digits

Sigma(926659^60)
********** Factor found in step 2: 16678233574063923116945898541
Found probable prime factor of 29 digits: 16678233574063923116945898541
Composite cofactor 152246302285008116806039984137841178428905774824862044132704494881128343695529777646374645356866002663793083860354738851697883651684663550660988934005032723807715734311634813264484918778204039720347074593939413152609186429645703492097836110695871572635288645876192301309878423409349776675504321798556617 has 303 digits

Sigma(28777752906860288850081076428679309196776615878836171685195569163102268080657810522059254188244508263895484903770094717305542885442460801202818301123811564858580612611128165419600589500814633^2)
********** Factor found in step 1: 2842584788263404695909728412764767187
Found probable prime factor of 37 digits: 2842584788263404695909728412764767187
Composite cofactor 184149951605172588482439535965097309923877453352556187372257559810827216224461542779964514786811778964331577012273734497161493368765391759802933199921292317093355027666615511328528873114254705074991441587806029275641644363157850421273853690285275774902432555634140604786272423037402044875661808466494173 has 303 digits
[/code]
Chris K

One more from t400.txt:
sigma(127^88)
r1=1062572030851112220858620071438349141771916117092087379143599 (pp61) r2=9040508925097179250890263093264852140054612539348541724511350866798784530444745830229014739551754117777 (pp103)

Chris K

Wow Chris,

Your knocking them out...
Are they easy factors or do you have alot of computers???