M2 733 821 477 Mersenne number exponent details

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	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁷⁸	22.3923	58.9744%	-	-	-	-	22.3923	58.9744%
Target	2⁹⁰	91,719.0609	64.4444%	14000000	6400000000	90,933.9233	4.3207%	182,652.9842	65.9807%
Difference	-12	-91,696.6686	-5.4701%	-14000000	-6400000000	-90,933.9233	-4.3207%	-182,630.5919	-7.0063%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2733821477	21870571817	11	34.348	4 2²	2012-08-20	4	4	8.451e-13	0.0010	0.0020
2733821477	300720362471	12	38.130	55 5 × 11	2014-10-23	5	11	1.515e-11	0.0013	0.0026
2733821477	6714265547513	13	42.610	1228 2² × 307	2014-10-23	4	307	4.123e-10	0.0052	0.0078
2733821477	9841757317201	13	43.162	1800 2³ × 3² × 5²	2014-10-23	25	25	5.511e-10	0.0063	0.0128
2733821477	52708078076561	14	45.583	9640 2³ × 5 × 241	2014-10-23	8	241	3.347e-9	0.0052	0.0061
2733821477	171509024181073	15	47.285	31368 2³ × 3 × 1307	2014-10-23	8	1307	1.156e-8	0.0198	0.0333

exponent	prime factors	composite factor	digits	bits*
2733821477	21870571817 300720362471	6576926284256277079807	22	72.478
2733821477	21870571817 6714265547513	146844826855291892241121	24	76.959
2733821477	21870571817 9841757317201	215244860211329719924217	24	77.510
2733821477	21870571817 52708078076561	1152755806909470574881337	25	79.931
2733821477	300720362471 6714265547513	2019116369174656632584623	25	80.740
2733821477	300720362471 9841757317201	2959616827780301243163671	25	81.292
2733821477	21870571817 171509024181073	3751000430615746658619641	25	81.634
2733821477	300720362471 52708078076561	15850392344333192409142231	26	83.713
2733821477	300720362471 171509024181073	51576255918779776497711383	26	85.415
2733821477	6714265547513 9841757317201	66080172081866646277671113	26	85.772
2733821477	6714265547513 52708078076561	353896032705078794597142793	27	88.193
2733821477	9841757317201 52708078076561	518740113085595831640225761	27	88.745
2733821477	6714265547513 171509024181073	1151557132146552462796821449	28	89.896
2733821477	9841757317201 171509024181073	1687950193700078444521536673	28	90.447
2733821477	52708078076561 171509024181073	9039911037370784208021129953	28	92.868
2733821477	21870571817 300720362471 6714265547513	44159229558914612899257379651369991	35	115.088
2733821477	21870571817 300720362471 9841757317201	64728512382770799036505446890860207	35	115.640
2733821477	21870571817 300720362471 52708078076561	346657144094366077561024410453103727	36	118.061
2733821477	21870571817 300720362471 171509024181073	1128002209123644420900405538039892911	37	119.763
2733821477	21870571817 6714265547513 9841757317201	1445211149196182890832741800372822321	37	120.121
2733821477	21870571817 6714265547513 52708078076561	7739908599027806557880603037310464881	37	122.542
2733821477	21870571817 9841757317201 52708078076561	11345142897597225104123398412043977737	38	123.093
2733821477	300720362471 6714265547513 9841757317201	19871653300604992554906400015086000223	38	123.902
2733821477	21870571817 6714265547513 171509024181073	25185212959989735006556104179680502833	38	124.244
2733821477	21870571817 9841757317201 171509024181073	36916435934836626579441918010045744841	38	124.796
2733821477	300720362471 6714265547513 52708078076561	106423743232120165753868537131905321503	39	126.323
2733821477	300720362471 9841757317201 52708078076561	155995714835347908739855381312191815431	39	126.875
2733821477	21870571817 52708078076561 171509024181073	197708023562108706879135590090576334601	39	127.217
2733821477	300720362471 6714265547513 171509024181073	346296678185176502905277888569947440479	39	128.025
2733821477	300720362471 9841757317201 171509024181073	507600994082482250497650372470479398983	39	128.577
2733821477	300720362471 52708078076561 171509024181073	2718485323863735853861636865093155193863	40	130.998
2733821477	6714265547513 9841757317201 52708078076561	3482958869403613632361690988015592082393	40	131.356
2733821477	6714265547513 9841757317201 171509024181073	11333345831478331600616444825060453444249	41	133.058
2733821477	6714265547513 52708078076561 171509024181073	60696363230801160234459166190152468956889	41	135.479
2733821477	9841757317201 52708078076561 171509024181073	88968610598889998039831533431357863221553	41	136.030
2733821477	21870571817 300720362471 6714265547513 9841757317201	434604420633406579220830737242868251308399515191	48	158.250
2733821477	21870571817 300720362471 6714265547513 52708078076561	2327548119392051786293925786920066535975835880951	49	160.671
2733821477	21870571817 300720362471 9841757317201 52708078076561	3411715484450728768275769087182210797063294308127	49	161.223
2733821477	21870571817 300720362471 6714265547513 171509024181073	7573706370237439931610789210311158924911302380343	49	162.374
2733821477	21870571817 300720362471 9841757317201 171509024181073	11101523995461520081136646460872419407876698262111	50	162.925
2733821477	21870571817 300720362471 52708078076561 171509024181073	59454828509022338913798745839194591062507299159071	50	165.346
2733821477	21870571817 6714265547513 9841757317201 52708078076561	76174302088948855905886598072956692953752687718081	50	165.704
2733821477	21870571817 6714265547513 9841757317201 171509024181073	24786675393424443055062251801770264841903276013043 3	51	167.406
2733821477	300720362471 6714265547513 9841757317201 52708078076561	10473966536786390431210446496905429680169006570731 03	52	169.485
2733821477	21870571817 6714265547513 52708078076561 171509024181073	13274641710699549213546637523156678505015039513973 13	52	169.827
2733821477	21870571817 9841757317201 52708078076561 171509024181073	19457943875617310826131247784917485874146378687718 01	52	170.379
2733821477	300720362471 6714265547513 9841757317201 171509024181073	34081678664513607607197108948355517442421796703792 79	52	171.187
2733821477	300720362471 6714265547513 52708078076561 171509024181073	18252632351438001537433911801351078575471235352512 719	53	173.608
2733821477	300720362471 9841757317201 52708078076561 171509024181073	26754672827839452600794618229253691025701457939537 463	53	174.160
2733821477	6714265547513 9841757317201 52708078076561 171509024181073	59735887695422704751896896759677836710629831956714 7689	54	178.641
2733821477	21870571817 300720362471 6714265547513 9841757317201 52708078076561	22907163735164152431398966835120626807737959890271 788180538151	62	203.833
2733821477	21870571817 300720362471 6714265547513 9841757317201 171509024181073	74538580087616150454696189732978268827268206721647 408998179943	62	205.536
2733821477	21870571817 300720362471 6714265547513 52708078076561 171509024181073	39919550669142239584740478194269260161525370739483 8732295440423	63	207.957
2733821477	21870571817 300720362471 9841757317201 52708078076561 171509024181073	58513999352160122505164612924999021988993212866825 8928303480271	63	208.508
2733821477	21870571817 6714265547513 9841757317201 52708078076561 171509024181073	13064580218949888864487482475619687175630287871119 719886120080913	65	212.989
2733821477	300720362471 6714265547513 9841757317201 52708078076561 171509024181073	17963797800294464620553648918390384432805753404729 0844859669979519	66	216.770
2733821477	21870571817 300720362471 6714265547513 9841757317201 52708078076561 171509024181073	39287852989740671223138423297106127477991704064891 97096790017573989208616023	76	251.119

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2022-01-29	ramgeis	r4mg31s	2⁷²	2⁷³	21870571817	34.348	11	0.350	963,529	22.91
2022-01-29	ramgeis	r4mg31s	2⁷²	2⁷³	300720362471	38.130	12	0.350	963,529	0.716
Missing TF 73 - 74
2022-02-01	ramgeis	r4mg31s	2⁷⁴	2⁷⁵		-	-	1.400	-	-
2022-02-07	ramgeis	r4mg31s	2⁷⁵	2⁷⁶		-	-	2.799	-	-
2022-04-03	ramgeis	r4mg31s	2⁷⁶	2⁷⁷	21870571817	34.348	11	5.598	963,529	22.91
2022-04-03	ramgeis	r4mg31s	2⁷⁶	2⁷⁷	6714265547513	42.610	13	5.598	963,529	11.45
2022-04-26	ramgeis	r4mg31s	2⁷⁷	2⁷⁸	21870571817	34.348	11	11.20	963,529	22.91
2022-04-26	ramgeis	r4mg31s	2⁷⁷	2⁷⁸	9841757317201	43.162	13	11.20	963,529	22.91

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

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