M3 321 930 769 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁸⁰	73.7121	60.0000%	-	-	-	-	73.7121	60.0000%
Target	2⁹¹	150,962.5312	64.8352%	17000000	8000000000	138,759.7403	4.2997%	289,722.2715	66.3471%
Difference	-11	-150,888.8191	-4.8352%	-17000000	-8000000000	-138,759.7403	-4.2997%	-289,648.5594	-6.3471%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
3321930769	292329907673	12	38.089	44 2² × 11	2004-08-28	4	11	1.218e-11	0.0013	0.0025
3321930769	637810707649	12	39.214	96 2⁵ × 3	2004-08-28	32	32	2.709e-11	0.0098	0.0200
3321930769	436999992661951	15	48.635	65775 3 × 5² × 877	2004-08-28	25	877	1.814e-8	0.0219	0.0274
3321930769	209468669793156239	18	57.540	31528151 31528151	2006-11-15	1	31528151	5.931e-6	527.41	985.05
3321930769	244274728808241085841	21	67.727	36766980680 2³ × 5 × 29 × 31695673	2007-01-15	29	31695673	0.0107	530.22	990.28

exponent	prime factors	composite factor	digits	bits*
3321930769	292329907673 637810707649	186451145279882964890777	24	77.303
3321930769	292329907673 436999992661951	127748167507969813330050023	27	86.723
3321930769	637810707649 436999992661951	278723274562326774546963199	27	87.849
3321930769	292329907673 209468669793156239	61233956901019487354133921847	29	95.628
3321930769	637810707649 209468669793156239	133601360511067691253809372111	30	96.754
3321930769	292329907673 244274728808241085841	71408808919360229945424797557993	32	105.816
3321930769	436999992661951 209468669793156239	91537807162517913535999653562289	32	106.174
3321930769	637810707649 244274728808241085841	155801037641951813383244364297809	33	106.941
3321930769	436999992661951 244274728808241085841	106748054696701425055932308285535791	36	116.362
3321930769	209468669793156239 244274728808241085841	51167902507546241666518467479923711999	38	125.267
3321930769	292329907673 637810707649 436999992661951	81479149119121215487369638366198725927	38	125.938
3321930769	292329907673 637810707649 209468669793156239	39055673383187606278879363358750731107703	41	134.843
3321930769	292329907673 436999992661951 209468669793156239	26759238716407739770187375687623928924543497	44	144.263
3321930769	292329907673 637810707649 244274728808241085841	45545302949229371237838750780376082446188457	44	145.030
3321930769	637810707649 436999992661951 209468669793156239	58383793562963251181034934875182390790248561	44	145.388
3321930769	292329907673 436999992661951 244274728808241085841	31205648973759081604248220542048450704367024343	47	154.450
3321930769	637810707649 436999992661951 244274728808241085841	68085052306257293980990924953039608808826965359	47	155.576
3321930769	292329907673 209468669793156239 244274728808241085841	14957908215852058012151489253755551709751112268327	50	163.355
3321930769	637810707649 209468669793156239 244274728808241085841	32635436107253109959912512813497136450617062380351	50	164.481
3321930769	436999992661951 209468669793156239 244274728808241085841	22360373020325131780671379173972488370976285089450 049	53	173.901
3321930769	292329907673 637810707649 436999992661951 209468669793156239	17067328981860538930043850720649636078748767345851 108553	56	183.477
3321930769	292329907673 637810707649 436999992661951 244274728808241085841	19903297054599570469645895708572940703796424290829 239299607	59	193.665
3321930769	292329907673 637810707649 209468669793156239 244274728808241085841	95403140241013921602233416019270473668587687695264 89439333223	61	202.570
3321930769	292329907673 436999992661951 209468669793156239 244274728808241085841	65366057805654859258852223598809525301295635930714 59370515325977	64	211.990
3321930769	637810707649 436999992661951 209468669793156239 244274728808241085841	14261685339389179761089191811272193890349807625899 303016927724801	65	213.116
3321930769	292329907673 637810707649 436999992661951 209468669793156239 244274728808241085841	41691171585250165897744036401073880806381139489524 54574533532147190282298073	76	251.204

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2004-08-28	Uncwilly	OBD	2³⁸	2³⁹	292329907673	38.089	12	1.15483e-12	1,430,740	18.86
2004-08-28	Uncwilly	OBD	2³⁹	2⁴⁰	637810707649	39.214	12	5.03924e-12	1,430,740	18.86
2004-08-28	Uncwilly	OBD	2⁴⁸	2⁴⁹	436999992661951	48.635	15	6.85336e-9	192,793	1.44198e-8
2006-11-15	Rde	OBD	2⁵⁷	2⁵⁸	209468669793156239	57.540	18	1.51365e-7	192,793	3.18479e-7
TF systematically completed to 64 but no per-exponent detailed record exists
2007-01-15	PatrickSchmeer	OBD	2⁶⁷	2⁶⁸	244274728808241085841	67.727	21	0.002	1,430,740	0.035
2022-03-22	slaur	sekunda-rtx2060	2⁶⁴	2⁶⁸	244274728808241085841	67.727	21	0.017	1,430,740	0.035
2010-05-07	Luigi Morelli	OBD	2⁶⁹	2⁷¹		-	-	-	-	-
2012-09-12	Åke Tilander		2⁷⁴	2⁷⁵		-	-	1.152	-	-
2012-09-12	Åke Tilander		2⁷⁵	2⁷⁶		-	-	2.304	-	-
2012-09-12	Åke Tilander		2⁷⁶	2⁷⁷		-	-	4.607	-	-
2022-03-02	firejuggler	GTX1660	2⁷⁷	2⁷⁸	292329907673	38.089	12	9.214	1,430,740	18.86
2022-03-02	firejuggler	GTX1660	2⁷⁷	2⁷⁸	637810707649	39.214	12	9.214	1,430,740	18.86
2012-09-12	Åke Tilander		2⁷⁸	2⁷⁹		-	-	18.43	-	-
2012-09-12	Åke Tilander		2⁷⁹	2⁸⁰		-	-	36.86	-	-

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

10⁰

10¹

10²

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

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