M12 731 681 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁷²	75.1145	66.6667%	25000000	96059314260	3,113.7677	16.7205%	3,188.8822	72.2402%
Target	2⁶⁸	4.6816	64.7059%	90000	12000000	0.4376	3.1591%	5.1193	65.8209%
Difference	+4	+70.4329	+1.9608%	+24910000	+96047314260	+3,113.3301	+13.5614%	+3,183.7630	+6.4193%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
12731681	101853449	9	26.602	4 2²	-	4	4	7.028e-13	2.369e-6	4.822e-6
12731681	407413793	9	28.602	16 2⁴	2008-09-08	16	16	2.819e-12	9.477e-6	1.929e-5
12731681	3157456889	10	31.556	124 2² × 31	2008-09-08	4	31	2.307e-11	3.240e-6	4.822e-6
12731681	4583405161	10	32.094	180 2² × 3² × 5	2008-09-08	9	9	4.669e-11	5.331e-6	1.085e-5
12731681	728178441630512143	18	59.337	28597105191 3 × 73 × 130580389	2015-11-12	73	130580389	0.0097	4.2138	7.8701
12731681	4942614515973735792916302243662188576877302039	46	151.792	194106909997734619368656120258675526699 3 × 41 × 281 × 1321 × 3037 × 4759 × 10103 × 25391 × 35327 × 78857 × 411613	2022-05-05	78857	411613	1.117e+10	0.0574	0.0951

exponent	prime factors	composite factor	digits	bits*
12731681	101853449 407413793	41496499987222057	17	55.204
12731681	101853449 3157456889	321597874213460161	18	58.158
12731681	101853449 4583405161	466835623812250289	18	58.696
12731681	407413793 3157456889	1286391487381469977	19	60.158
12731681	407413793 4583405161	1867342481498785673	19	60.696
12731681	3157456889 4583405161	14471904200677604129	20	63.650
12731681	101853449 728178441630512143	74167485767512845400931207	26	85.939
12731681	101853449 407413793 3157456889	131023409754042695847400673	27	86.760
12731681	101853449 407413793 4583405161	190195272204870010106836177	27	87.298
12731681	407413793 728178441630512143	296669940885516056712188399	27	87.939
12731681	101853449 3157456889 4583405161	1474013356436602117595290921	28	90.252
12731681	3157456889 728178441630512143	2299192036947544958513503127	28	90.893
12731681	4583405161 728178441630512143	3337536827498226611299370023	28	91.431
12731681	407413793 3157456889 4583405161	5896053382330695868348351297	28	92.252
12731681	101853449 407413793 728178441630512143	30216856693815924521015988775938151	35	114.541
12731681	101853449 3157456889 728178441630512143	234180638876442886107162206557235023	36	117.495
12731681	101853449 4583405161 728178441630512143	339939637045212421744423208369759327	36	118.033
12731681	101853449 407413793 3157456889 4583405161	600533372478497032761329513063073353	36	118.854
12731681	407413793 3157456889 728178441630512143	936722548608195433586013950688430711	36	119.495
12731681	407413793 4583405161 728178441630512143	1359758538168239204483012999580927239	37	120.033
12731681	3157456889 4583405161 728178441630512143	10538128648275480249130321120481438447	38	122.987
12731681	101853449 407413793 3157456889 728178441630512143	95408422331814854576785959039732592312872239	44	146.097
12731681	101853449 407413793 4583405161 728178441630512143	138496096919633305233611135919152993910197311	45	146.635
12731681	101853449 3157456889 4583405161 728178441630512143	1073344748832565565505302456598579046308153703	46	149.589
12731681	407413793 3157456889 4583405161 728178441630512143	4293378963715876317194769079003352823788299471	46	151.589
12731681	101853449 407413793 3157456889 4583405161 728178441630512143	43729545531850785896370523545504496766672754696622 5479	54	178.191
12731681	101853449 4942614515973735792916302243662188576877302039	50342233552939058392327515184343229744335486248688 2511	54	178.394
12731681	407413793 4942614515973735792916302243662188576877302039	20136893272897187877718932286248224587868537193156 23927	55	180.394
12731681	3157456889 4942614515973735792916302243662188576877302039	15606092253132672622409455919657333910878343430774 296671	56	183.348
12731681	4583405161 4942614515973735792916302243662188576877302039	22654004881347537573703006944637154663814671429308 423279	56	183.886
12731681	101853449 407413793 4942614515973735792916302243662188576877302039	20510120319894768077466635059518369444010140717077 4216551874223	63	206.996
12731681	101853449 3157456889 4942614515973735792916302243662188576877302039	15895343213937437611802777756305663569676178978308 54856490568279	64	209.950
12731681	101853449 4583405161 4942614515973735792916302243662188576877302039	23073885308280824695387429589822462560559597818768 22595718039271	64	210.488
12731681	728178441630512143 4942614515973735792916302243662188576877302039	35991053358221029971211996977821965558456771347221 69155668159577	64	211.129
12731681	407413793 3157456889 4942614515973735792916302243662188576877302039	63581372387566982853230932352938976688984698586883 89133639383103	64	211.950
12731681	407413793 4583405161 4942614515973735792916302243662188576877302039	92295540553503152341123591148199641903123751360632 76094946887247	64	212.488
12731681	3157456889 4583405161 4942614515973735792916302243662188576877302039	71529043776050410115274904517359425598620113323741 357588006519031	65	215.442
12731681	101853449 728178441630512143 4942614515973735792916302243662188576877302039	36658129176778444069003126023687437000880332791189 0585266219952399831073	72	237.731
12731681	101853449 407413793 3157456889 4942614515973735792916302243662188576877302039	64759820698270619221254312536325200623036918592995 5049515293091272872247	72	238.552
12731681	101853449 407413793 4583405161 4942614515973735792916302243662188576877302039	94006191326936650983158622937100036683980779498988 8952509591937921064903	72	239.090
12731681	407413793 728178441630512143 4942614515973735792916302243662188576877302039	14663251562738217552938160495838983866886236441105 30936898372342594845561	73	239.731
12731681	101853449 3157456889 4583405161 4942614515973735792916302243662188576877302039	72854798122627178681052366082387378698783481827939 10854280784997791487919	73	242.044
12731681	3157456889 728178441630512143 4942614515973735792916302243662188576877302039	11364019936828157586727879153707114536807006489898 294101587743854349975953	74	242.685
12731681	4583405161 728178441630512143 4942614515973735792916302243662188576877302039	16496157971189665054878874837326559947979501298825 282409204455008593376897	74	243.223
12731681	407413793 3157456889 4583405161 4942614515973735792916302243662188576877302039	29141919034463740144269716087130237927435115935315 303445899067227146394583	74	244.044
12731681	101853449 407413793 728178441630512143 4942614515973735792916302243662188576877302039	14935027452195273418790917302167506554977200721560 6113144300585579494630010189889	81	266.333
12731681	101853449 3157456889 728178441630512143 4942614515973735792916302243662188576877302039	11574646250707099705237511162602707514118310583615 24913463068087694098703880111897	82	269.287
12731681	101853449 4583405161 728178441630512143 4942614515973735792916302243662188576877302039	16801905846145100189941876794210240700069727885853 34661776503088790560075516367753	82	269.825
12731681	101853449 407413793 3157456889 4583405161 4942614515973735792916302243662188576877302039	29682049641388817991336281697249992450998782817267 24558446404902967726716193466767	82	270.646
12731681	407413793 3157456889 728178441630512143 4942614515973735792916302243662188576877302039	46298584661907800716105317048574455445259806230250 80184157390046013163252470519729	82	271.287
12731681	407413793 4583405161 728178441630512143 4942614515973735792916302243662188576877302039	67207622889695661624077555530474717680482113104028 34750630165127548875276285340321	82	271.825
12731681	3157456889 4583405161 728178441630512143 4942614515973735792916302243662188576877302039	52085907628165071453129866415685501050419358006760 335550313123476373712083206093433	83	274.779
12731681	101853449 407413793 3157456889 728178441630512143 4942614515973735792916302243662188576877302039	47156705316338084229399963886358088203965419656227 3230257985335024709376664180205221195321	90	297.889
12731681	101853449 407413793 4583405161 728178441630512143 4942614515973735792916302243662188576877302039	68453281904068496967492404742678746030583832024533 8298728737241680377862960489819832617129	90	298.427
12731681	101853449 3157456889 4583405161 728178441630512143 4942614515973735792916302243662188576877302039	53051293362240220688327187393468359812783345093543 05492196704656031532588607515593967300417	91	301.381
12731681	407413793 3157456889 4583405161 728178441630512143 4942614515973735792916302243662188576877302039	21220517188638365390835660597997744678056834886159 147948505811973186759925308926126250921369	92	303.381
12731681	101853449 407413793 3157456889 4583405161 728178441630512143 4942614515973735792916302243662188576877302039	21613828652266011287788450240994727896814832511788 31581456591346014567019527696516444865780860451681	100	329.983

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2022-05-04	nordi	sweet16_30.8b14	400000	400000		-	skipped known factor: 101853449 skipped known factor: 407413793 skipped known factor: 3157456889 skipped known factor: 4583405161	-	-	0.237	-	-	1.337%
2022-05-05	nordi	sweet16_30.8b14	400000	428459850			4942614515973735792916302243662188576877302039	46	151.792	14.05	10.40	28.10	6.442%
2022-10-11	Naegi Makoto	5950X	25000000	96059314260		-	skipped known factor: 101853449 skipped known factor: 407413793 skipped known factor: 3157456889 skipped known factor: 4583405161 skipped known factor: 728178441630512143 skipped known factor: 4942614515973735792916302243662188576877302039	-	-	3,114	-	-	16.721%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-09-08	Will Edgington	Manual testing	?	?	3157456889	31.556	10	6.03097e-13	15.21	1.76394e-12
2008-09-08	Will Edgington	Manual testing	?	?	407413793	28.602	9	9.72738e-15	15.21	2.84507e-14
2008-09-08	Will Edgington	Manual testing	?	?	4583405161	32.094	10	1.75093e-12	15.21	5.12112e-12
2015-11-12	TJAOI	Manual testing	2⁵⁹	2⁶⁰*	728178441630512143	59.337	18	0.004	15.20	0.011
2022-10-01	LordJulius	Manual testing	2¹	2⁶⁴	101853449	26.602	9	7.02803e-13	15.21	2.05556e-12
2022-10-01	LordJulius	Manual testing	2¹	2⁶⁴	3157456889	31.556	10	2.30733e-11	15.21	6.74849e-11
2022-10-01	LordJulius	Manual testing	2¹	2⁶⁴	407413793	28.602	9	2.81851e-12	15.21	8.24358e-12
2022-10-01	LordJulius	Manual testing	2¹	2⁶⁴	101853449 407413793	55.204	17	0.000	15.21	0.001
2022-10-01	LordJulius	Manual testing	2¹	2⁶⁴	4583405161	32.094	10	4.66914e-11	15.21	1.36563e-10
2022-10-01	LordJulius	Manual testing	2¹	2⁶⁴	101853449 4583405161	58.696	18	0.004	15.20	0.011
2022-10-01	LordJulius	Manual testing	2¹	2⁶⁴	728178441630512143	59.337	18	0.010	15.20	0.028
2022-10-01	LordJulius	Manual testing	2¹	2⁶⁴	407413793 3157456889	60.158	19	0.020	15.19	0.058
2022-10-01	LordJulius	Manual testing	2¹	2⁶⁴	3157456889 4583405161	63.650	20	0.264	14.93	0.757
2022-10-01	LordJulius	Manual testing	2¹	2⁶⁴	407413793 4583405161	60.696	19	0.020	15.19	0.059
2022-10-01	LordJulius	Manual testing	2¹	2⁶⁴	101853449 3157456889	58.158	18	0.006	15.20	0.017
2022-10-01	LordJulius	Manual testing	2⁶⁴	2⁶⁵		-	-	0.293	-	-
2022-10-01	LordJulius	Manual testing	2⁶⁵	2⁶⁶		-	-	0.587	-	-
2022-10-01	LordJulius	Manual testing	2⁶⁶	2⁶⁷		-	-	1.174	-	-
2022-09-30	Naegi Makoto	Manual testing	2⁶⁷	2⁶⁸		-	-	2.348	-	-
2022-10-01	LordJulius	Manual testing	2⁶⁷	2⁶⁸		-	-	2.348	-	-
2022-09-30	Naegi Makoto	Manual testing	2⁶⁸	2⁶⁹		-	-	4.696	-	-
2022-09-30	Naegi Makoto	Manual testing	2⁶⁹	2⁷⁰		-	-	9.391	-	-
2022-09-30	Naegi Makoto	Manual testing	2⁷⁰	2⁷¹		-	-	18.78	-	-
2022-09-30	Naegi Makoto	Manual testing	2⁷¹	2⁷²		-	-	37.56	-	-

P-1 factor-bounds graph:

X = B1; Y = B2
size of marker relates to size of factor
mouse-over any factor marker (circle) to see additional info
mouse-over any stage bound text to see additional info

B1 = 25000000, B2 = 96059314260 (P-1 stage 2)

B1 = 25000000 (P-1 stage 1)

B1 = 400000, B2 = 428459850 (P-1 stage 2)

B1 = 400000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁰

10¹

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10³

10⁴

10⁵

10⁶

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10⁹

10¹⁰

10¹¹

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