M972 206 827 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁷⁶	15.7415	60.5263%	-	-	-	-	15.7415	60.5263%
Target	2⁸⁵	8,059.7412	64.7059%	5500000	260000000	1,331.8737	4.4181%	9,391.6149	66.2652%
Difference	-9	-8,043.9997	-4.1796%	-5500000	-260000000	-1,331.8737	-4.4181%	-9,375.8734	-5.7389%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
972206827	15555309233	11	33.857	8 2³	2008-05-31	8	8	1.179e-12	0.0006	0.0011
972206827	46665927697	11	35.442	24 2³ × 3	2008-05-31	8	8	4.733e-12	0.0006	0.0011
972206827	64165650583	11	35.901	33 3 × 11	2008-05-31	3	11	4.742e-12	0.0002	0.0004
972206827	85554200777	11	36.316	44 2² × 11	2008-05-31	4	11	9.506e-12	0.0003	0.0006
972206827	43331936879755247	17	55.266	22285349 22285349	2015-01-15	1	22285349	8.238e-6	83.504	155.96
972206827	252451721560935996137	21	67.775	129834369884 2² × 32458592471	2022-12-22	4	32458592471	0.0448	121,623	227,158

exponent	prime factors	composite factor	digits	bits*
972206827	15555309233 46665927697	725902935971654526401	21	69.298
972206827	15555309233 64165650583	998116536955191732839	21	69.758
972206827	15555309233 85554200777	1330822049268403874041	22	70.173
972206827	46665927697 64165650583	2994349610737243897351	22	71.343
972206827	46665927697 85554200777	3992466147634103220569	22	71.758
972206827	64165650583 85554200777	5489640952964809102991	22	72.217
972206827	15555309233 43331936879755247	674041677829430004439295551	27	89.123
972206827	46665927697 43331936879755247	2022125033401626139558376159	28	90.708
972206827	64165650583 43331936879755247	2780421920910986465562859001	28	91.167
972206827	85554200777 43331936879755247	3707229227866871308457226919	28	91.582
972206827	15555309233 252451721560935996137	3926964595283572872831928432921	31	101.631
972206827	46665927697 252451721560935996137	11780893785345815175373913306489	32	103.216
972206827	64165650583 252451721560935996137	16198728954755826470553779797871	32	103.676
972206827	85554200777 252451721560935996137	21598305272923618053551394398449	32	104.091
972206827	15555309233 46665927697 64165650583	46578034146731005933436914541783	32	105.199
972206827	15555309233 46665927697 85554200777	62104045528732706932592001213577	32	105.614
972206827	15555309233 64165650583 85554200777	85393062601508413763838350215903	32	106.074
972206827	46665927697 64165650583 85554200777	256179187793545959385585432441727	33	107.659
972206827	43331936879755247 252451721560935996137	10939222063864025342121204064697480839	38	123.041
972206827	15555309233 46665927697 43331936879755247	31454780202352748485886555208579776047	38	124.565
972206827	15555309233 64165650583 43331936879755247	43250322777982263538907977160132456233	38	125.024
972206827	15555309233 85554200777 43331936879755247	57667097037085004159267492878696843127	38	125.439
972206827	46665927697 64165650583 43331936879755247	129750968328385946774901958549271650697	39	126.609
972206827	46665927697 85554200777 43331936879755247	173001291103840554022068736019176075543	39	127.024
972206827	64165650583 85554200777 43331936879755247	237876775266390550819894435285695643777	39	127.483
972206827	15555309233 46665927697 252451721560935996137	183255445872182078895405347883769900512937	42	137.073
972206827	15555309233 64165650583 252451721560935996137	251976238072777746757951013512871640042943	42	137.532
972206827	15555309233 85554200777 252451721560935996137	335968317429061340812173493726218210579617	42	137.947
972206827	46665927697 64165650583 252451721560935996137	755928714185935782364341387597507360533087	42	139.117
972206827	46665927697 85554200777 252451721560935996137	1007904952243987411890673245071551842941953	43	139.532
972206827	64165650583 85554200777 252451721560935996137	1385869309327383326872329355203302011145767	43	139.992
972206827	15555309233 46665927697 64165650583 85554200777	3984946485187386359840440084371093737565391	43	141.516
972206827	15555309233 43331936879755247 252451721560935996137	170162981971861389060843949392665853046737286487	48	156.898
972206827	46665927697 43331936879755247 252451721560935996137	510488945893705723054803797493755151010816897783	48	158.483
972206827	64165650583 43331936879755247 252451721560935996137	701922300599743160926406212050617881115611679137	48	158.942
972206827	85554200777 43331936879755247 252451721560935996137	935896400796011140547253607620116773465916411903	48	159.357
972206827	15555309233 46665927697 64165650583 43331936879755247	2018316435629232493855079008491268593512194985401	49	160.466
972206827	15555309233 46665927697 85554200777 43331936879755247	2691088580828491731739321095159729272946733388519	49	160.881
972206827	15555309233 64165650583 85554200777 43331936879755247	3700246798617550969752659629284902440472247093041	49	161.340
972206827	46665927697 64165650583 85554200777 43331936879755247	11100740395376899358725197786214918450845349991569	50	162.925
972206827	15555309233 46665927697 64165650583 252451721560935996137	11758704907266304954157118156459537933085788013092 271	53	172.974
972206827	15555309233 46665927697 85554200777 252451721560935996137	15678273209627321456918763515647582128153127383952 049	53	173.389
972206827	15555309233 64165650583 85554200777 252451721560935996137	21557625663111578884227401831210860366063218323966 711	53	173.848
972206827	46665927697 64165650583 85554200777 252451721560935996137	64672876986562998034027438839887922387783050949608 599	53	175.433
972206827	15555309233 46665927697 43331936879755247 252451721560935996137	79408134134047980704193304761580717603598693729563 17130439	58	192.339
972206827	15555309233 64165650583 43331936879755247 252451721560935996137	10918618443367786228587131383819532189472570692922 409571921	59	192.799
972206827	15555309233 85554200777 43331936879755247 252451721560935996137	14558157924433660644125554715405761602832538972880 967000399	59	193.214
972206827	46665927697 64165650583 43331936879755247 252451721560935996137	32755855328699514084561907829605784144316476316536 005357489	59	194.384
972206827	46665927697 85554200777 43331936879755247 252451721560935996137	43674473771429189130784641865122777593257383371711 068177391	59	194.799
972206827	64165650583 85554200777 43331936879755247 252451721560935996137	60052401435364173904530378386838599087871358346053 000089449	59	195.258
972206827	15555309233 46665927697 64165650583 85554200777 43331936879755247	17267544956534235310968984823366008110077672937896 9737856577	60	196.782
972206827	15555309233 46665927697 64165650583 85554200777 252451721560935996137	10060066005137566202548678675614514078038690988373 56057760894567	64	209.290
972206827	15555309233 46665927697 64165650583 43331936879755247 252451721560935996137	50952745882933180132219938762196184485029108852063 8354714286107395937	69	228.240
972206827	15555309233 46665927697 85554200777 43331936879755247 252451721560935996137	67936994510312879729179758413914268297500209410739 7849828062704151103	69	228.655
972206827	15555309233 64165650583 85554200777 43331936879755247 252451721560935996137	93413367451134278705455905544977410607235071879660 9841398755855582617	69	229.115
972206827	46665927697 64165650583 85554200777 43331936879755247 252451721560935996137	28024010234139235582929488185402615614433749582140 86807504161566568953	70	230.700
972206827	15555309233 46665927697 64165650583 85554200777 43331936879755247 252451721560935996137	43592214514079254307070520475835772248955127294188 573707432978102373778732043049	80	264.556

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2015-01-15	TJAOI	Manual testing	2⁵⁵	2⁵⁶*	43331936879755247	55.266	17	3.30089e-6	101,616	7.27406e-6
2022-07-27	J.R. Allen	Manual testing	2¹	2⁶⁶	15555309233	33.857	11	1.17909e-12	101,616	2.59832e-12
2022-07-27	J.R. Allen	Manual testing	2¹	2⁶⁶	43331936879755247	55.266	17	8.23779e-6	101,616	1.81534e-5
2022-07-27	J.R. Allen	Manual testing	2¹	2⁶⁶	46665927697	35.442	11	4.73266e-12	101,616	1.04292e-11
2022-07-27	J.R. Allen	Manual testing	2¹	2⁶⁶	64165650583	35.901	11	4.74183e-12	101,616	1.04494e-11
2022-07-27	J.R. Allen	Manual testing	2¹	2⁶⁶	85554200777	36.316	11	9.50608e-12	101,616	2.09482e-11
2019-06-16	Seth_Tr	Manual testing	2⁶⁶	2⁶⁷		-	-	0.015	-	-
2022-12-22	LordJulius	Manual testing	2⁶⁷	2⁷¹	skipped known factors(?)	-	-	0.461	-	-
2022-12-22	LordJulius	Manual testing	2⁶⁷	2⁷¹	252451721560935996137	67.775	21	0.014	101,616	0.031
2022-12-22	LordJulius	Manual testing	2⁷¹	2⁷²		-	-	0.492	-	-
2022-12-22	LordJulius	Manual testing	2⁷²	2⁷³		-	-	0.984	-	-
2022-12-22	LordJulius	Manual testing	2⁷³	2⁷⁴		-	-	1.968	-	-
2022-12-22	LordJulius	Manual testing	2⁷⁴	2⁷⁵		-	-	3.935	-	-
2023-03-22	LordJulius	Manual testing	2⁷⁵	2⁷⁶		-	-	7.871	-	-

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

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

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