M308801 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁶⁷	96.2235	71.6418%	500000	5500000	0.0080	3.2904%	96.2315	72.5749%	0.9331%
PrimeNet	2⁴⁰	0.0000	52.5000%	3200	90000	0.0001	15.6281%	0.0001	59.9233%	7.4233%
GPU72	2⁴⁴	0.0000	56.8182%	5500	150000	0.0001	11.4397%	0.0001	61.7580%	4.9399%
Difference	+23	+96.2235	+14.8236%	+494500	+5350000	+0.0078	-8.1493%	+96.2313	+10.8168%	+10.8168%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
308801	9881633	7	23.236	16 2⁴	-	16	16	3.631e-12	1.650e-7	3.358e-7
308801	19145663	8	24.191	31 31	2008-07-21	1	31	7.286e-12	2.716e-8	3.691e-8
308801	1373546849	10	30.355	2224 2⁴ × 139	2008-07-21	16	139	6.862e-10	2.341e-7	3.358e-7
308801	5706642481	10	32.410	9240 2³ × 3 × 5 × 7 × 11	2008-07-21	8	11	1.853e-9	8.417e-8	1.679e-7
308801	34688734886492337377658255343	29	94.808	56166811128351814562871 3 × 103471 × 180942199999200467	2021-10-26	103471	180942199999200467	1.702e+10	101,649,307	189,852,598
308801	610112887968326784981496247423023481	36	118.877	987873886367477412607951799740 2² × 5 × 7 × 46584287 × 118894861 × 1274004416263	2019-03-22	118894861	1274004416263	4.283e+11	716.87	1,336.7

exponent	prime factors	composite factor	digits	bits*
308801	9881633 19145663	189190415307679	15	47.427
308801	9881633 1373546849	13572885870124417	17	53.592
308801	19145663 1373546849	26297465085665887	17	54.546
308801	9881633 5706642481	56390946659451473	17	55.646
308801	19145663 5706642481	109257453802709903	18	56.601
308801	1373546849 5706642481	7838340798147092369	19	62.765
308801	9881633 19145663 1373546849	259861898806863855953471	24	77.782
308801	9881633 19145663 5706642481	1079642060992833666911599	25	79.837
308801	9881633 1373546849 5706642481	77455607096216646807558577	26	86.002
308801	19145663 1373546849 5706642481	150070231400475254926745647	27	86.956
308801	9881633 19145663 1373546849 5706642481	1482938950924572494767542368001551	34	110.192
308801	9881633 34688734886492337377658255343	342781347382613935278201278719815119	36	118.045
308801	19145663 34688734886492337377658255343	664138828033125543514948685965027409	36	118.999
308801	1373546849 34688734886492337377658255343	47646602499137922667727419625215064207	38	125.164
308801	5706642481 34688734886492337377658255343	197956208115403885560328740240709025983	39	127.218
308801	9881633 610112887968326784981496247423023481	6028911647473120913257057707911513789624473	43	142.113
308801	9881633 19145663 34688734886492337377658255343	6562776159673458463940252928538651690678897	43	142.235
308801	19145663 610112887968326784981496247423023481	11681015744998339299129188388925826008312903	44	143.067
308801	9881633 1373546849 34688734886492337377658255343	470826239593363768184863304773372810565010031	45	148.400
308801	1373546849 610112887968326784981496247423023481	838018634803185267313634693953218272380561369	45	149.232
308801	19145663 1373546849 34688734886492337377658255343	912225794543452457916370152003953921830584241	45	149.354
308801	9881633 5706642481 34688734886492337377658255343	1956130598668042843881167970411018254551470239	46	150.455
308801	5706642481 610112887968326784981496247423023481	3481696124685647413665559284486312574135096361	46	151.287
308801	19145663 5706642481 34688734886492337377658255343	3790002849335387901828620229863153892528761729	46	151.409
308801	1373546849 5706642481 34688734886492337377658255343	271902125896901235373746140561765384164808777567	48	157.574
308801	9881633 19145663 610112887968326784981496247423023481	11542751065929517456347185924722627683600305661059 9	51	166.303
308801	9881633 1373546849 610112887968326784981496247423023481	82809925962861040426002339417130221365587437824355 77	52	172.468
308801	9881633 19145663 1373546849 34688734886492337377658255343	90142805148117997420775145342572872044405216451455 53	52	172.591
308801	19145663 1373546849 610112887968326784981496247423023481	16044422369661856454551765155536454808440435721692 647	53	173.422
308801	9881633 5706642481 610112887968326784981496247423023481	34404843321665808109242241589036334380888314659037 513	53	174.523
308801	9881633 19145663 5706642481 34688734886492337377658255343	37451417226086597158510454007883326988490665350423 457	53	174.645
308801	19145663 5706642481 610112887968326784981496247423023481	66659380671637386318862392767296068657053071400232 343	53	175.477
308801	9881633 1373546849 5706642481 34688734886492337377658255343	26868370200329738452099771961977793584206518550957 26911	55	180.810
308801	1373546849 5706642481 610112887968326784981496247423023481	47822727412374821205653284950288692198323405069629 16489	55	181.642
308801	19145663 1373546849 5706642481 34688734886492337377658255343	52057464714056437967494226547461907302849653147397 41921	55	181.764
308801	9881633 19145663 1373546849 610112887968326784981496247423023481	15854509355398879958256172276919916453809368816185 6876452551	60	196.659
308801	9881633 19145663 5706642481 610112887968326784981496247423023481	65870353580441416068221914282827415281180131309989 2128256119	60	198.713
308801	9881633 1373546849 5706642481 610112887968326784981496247423023481	47256664134812764159488328712317610035379510420841 485353946537	62	204.878
308801	9881633 19145663 1373546849 5706642481 34688734886492337377658255343	51441276121475566128204387636087564944678012657987 620178036993	62	205.0005
308801	19145663 1373546849 5706642481 610112887968326784981496247423023481	91559782277819035648869148850119905353982907847561 152595537207	62	205.832
308801	34688734886492337377658255343 610112887968326784981496247423023481	21164044221565488388573680679196066601937534617045 604524582708983	65	213.685
308801	9881633 19145663 1373546849 5706642481 610112887968326784981496247423023481	90476016602931175069604179395925691070279418362241 9255006096117419031	69	229.069
308801	9881633 34688734886492337377658255343 610112887968326784981496247423023481	20913531779328084172164650593100626520390380601044 0208175065808315809239	72	236.921
308801	19145663 34688734886492337377658255343 610112887968326784981496247423023481	40519965838319017311804474095349900208625118482878 9199858935761815590729	72	237.876
308801	1373546849 34688734886492337377658255343 610112887968326784981496247423023481	29069806252627934423271466701241937134285437968071 411784040722963483644567	74	244.040
308801	5706642481 34688734886492337377658255343 610112887968326784981496247423023481	12077563382454819236174680116242920659872205195404 0513494309495880448106823	75	246.095
308801	9881633 19145663 34688734886492337377658255343 610112887968326784981496247423023481	40040343158680586599589838076825472044825685542932 62707369654968837081262180457	79	261.112
308801	9881633 1373546849 34688734886492337377658255343 610112887968326784981496247423023481	28725715676957453351883529331339346697008041524474 7409041765681379817777113537911	81	267.277
308801	19145663 1373546849 34688734886492337377658255343 610112887968326784981496247423023481	55656071398810729685405485897769980984021474114410 0009951472460135219164891562921	81	268.231
308801	9881633 5706642481 34688734886492337377658255343 610112887968326784981496247423023481	11934604887965716277321851280110988080897495864167 61221482314026705600067169681959	82	269.331
308801	19145663 5706642481 34688734886492337377658255343 610112887968326784981496247423023481	23123295838162008182171783463838778508965086373805 51159709002025826947742221158649	82	270.286
308801	1373546849 5706642481 34688734886492337377658255343 610112887968326784981496247423023481	16589099127568598846712318687248417390924468188828 6640128450787497367977834747050727	84	276.450
308801	9881633 19145663 1373546849 34688734886492337377658255343 610112887968326784981496247423023481	54997287178484426721338246782843847050107907131759 96413636798660663366162024909581729993	88	291.467
308801	9881633 19145663 5706642481 34688734886492337377658255343 610112887968326784981496247423023481	22849592322314435939921870714512358039388019335924 687897968744815478419098808094604193817	89	293.522
308801	9881633 1373546849 5706642481 34688734886492337377658255343 610112887968326784981496247423023481	16392738937925307612743438984643064048793312536217 95576552423540609978822915105003116597191	91	299.687
308801	19145663 1373546849 5706642481 34688734886492337377658255343 610112887968326784981496247423023481	31760930137002240290134271153466059664997912639753 39659301595489509220690615536723463047001	91	300.641
308801	9881633 19145663 1373546849 5706642481 34688734886492337377658255343 610112887968326784981496247423023481	31384985535249585872492038826103827956561231847210 427563563402941785468980669277999284319525632633	98	323.877

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
unknown			500000	5500000		-	skipped known factor: 9881633 MISSED FACTOR! MISSED FACTOR! MISSED FACTOR!	-	-	0.008	-	-	3.290%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
2008-07-21T09:16:00	J Feitsma	Manual testing	?	?	1373546849	30.355	10	2.22986e-10	0.005	4.63369e-10
2008-07-21T09:16:00	J Feitsma	Manual testing	?	?	19145663	24.191	8	4.85651e-14	0.005	1.00919e-13
2008-07-21T09:16:00	J Feitsma	Manual testing	?	?	5706642481	32.410	10	-	0.005	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	16.480 GHz-days
Estimated T-Level:	27.688

Digits	B1	Curves	Complete	FacMiss
20	11000	625 / 100	6.250	0.187%
25	50000	625 / 280	2.232	10.687%
30	250000	344 / 640	0.538	58.396%

New Calculation Method

Total ECM effort:	16.480 GHz-days
Estimated T-Level:	27.688

Digits	B1	Complete	FacMiss
20	11000	37.731	0.000%
25	50000	5.054	0.638%
30	250000	0.509	60.083%
35	1000000	0.040	96.050%
40	3000000	0.003	99.737%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		281	2.145
250000	25000000		92	3.512
250000	25000000	610112887968326784981496247423023481	52	1.985
250000	36750000		69	3.049
250000	36750000	34688734886492337377658255343	131	5.788

0M	<	10¹⁰	All tracked exponents
0M	<	2³²	GPU TF range
0M	<	1000M	PrimeNet range
0M	<	193M	low-PrimeNet, low-res
0M	<	385M	low-PrimeNet, high-res
50M	<	146M	PrimeNet wavefront