M977 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	2⁶⁷	30,413.4263	85.0746%	-	-	-	-	30,413.4263	85.0746%
Target	2⁴⁴	0.0024	77.2727%	500	10000	0.0000	0.6010%	0.0024	77.4093%
Difference	+23	+30,413.4239	+7.8019%	-500	-10000	0.0000	-0.6010%	+30,413.4239	+7.6653%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
977	867577	6	19.727	444 2² × 3 × 37	-	4	37	7.836e-11	1.109e-10	1.557e-10
977	1813313	7	20.790	928 2⁵ × 29	-	32	32	1.717e-10	6.122e-10	1.246e-9
977	2069655374719577273	19	60.844	1059189035168668 2² × 3469 × 166471 × 458533	2006-08-14	166471	458533	307.20	3.489e-6	6.482e-6
977	49858990580788843054012690078841	32	105.298	25516371842778322954970670460 2² × 5 × 13 × 19 × 1231 × 4643 × 74941 × 1045397 × 11535449	-	1045397	11535449	1.840e+14	3.093e-5	4.070e-5
977	23830405750609887318420248635858165476368020607396 633699141951	62	203.890	12195704068889399855895726016304076497629488540121 102200175 5² × 7 × 7547 × 17737 × 520612166138156469140787369698047488178007191259	-	17737	520612166138156469140787369698047488178007191259	1.817e+14	5.427e+35	1.014e+36
977	hide decimal representation P171 click to show decimal representation	171	566.451		2006-08-14

exponent	prime factors	composite factor	digits	bits*
977	867577 1813313	1573188652601	13	40.517
977	867577 2069655374719577273	1795585401033086691777521	25	80.571
977	1813313 2069655374719577273	3752932996498880823635449	25	81.634
977	867577 1813313 2069655374719577273	3255958350303509528327171937073	31	101.361
977	867577 49858990580788843054012690078841	43256513471109042090271167620530638257	38	125.024
977	1813313 49858990580788843054012690078841	90409955787021959364800913084933410233	38	126.088
977	867577 1813313 49858990580788843054012690078841	78437598211837150439835881771487273249715441	44	145.814
977	2069655374719577273 49858990580788843054012690078841	10319092783362240666263665815950120257586056178059 3	51	166.142
977	867577 2069655374719577273 49858990580788843054012690078841	89526075597110626705150323976045574827157378607921 533161	56	185.868
977	1813313 2069655374719577273 49858990580788843054012690078841	18711745092276934709264566651717960414644144286405 2434609	57	186.932
977	867577 1813313 2069655374719577273 49858990580788843054012690078841	16233879671922346184259624941997512942655722767566 6019060772393	63	206.659
977	867577 23830405750609887318420248635858165476368020607396 633699141951	20674711929896874210053084050751919629490938214503 349274800476422727	68	223.617
977	1813313 23830405750609887318420248635858165476368020607396 633699141951	43211984542855666603026576314633877614449324551660 212042892188593663	68	224.681
977	867577 1813313 23830405750609887318420248635858165476368020607396 633699141951	37489723913737090664453987999321115639111101646555 711783536276303524364551	74	244.407
977	2069655374719577273 23830405750609887318420248635858165476368020607396 633699141951	49320727343498075450610297583046146461319132580108 833298016911382603141540479623	80	264.735
977	867577 2069655374719577273 23830405750609887318420248635858165476368020607396 633699141951	42789528666490029805214130146206426608471869086453 081266193617926584685728264689883471	86	284.461
977	1813313 2069655374719577273 23830405750609887318420248635858165476368020607396 633699141951	89433916061420525689572510541206156978213980256234 888834126939629922250396191726620999	86	285.525
977	867577 1813313 2069655374719577273 23830405750609887318420248635858165476368020607396 633699141951	77590808594819035416182249977808014052687950348763 496150045347903309056231976829606666449423	92	305.251
977	49858990580788843054012690078841 23830405750609887318420248635858165476368020607396 633699141951	11881599758560346511146493128191568813455689202694 10014952691519012211009795758462832240558791	94	309.188
977	867577 49858990580788843054012690078841 23830405750609887318420248635858165476368020607396 633699141951	10308202673732509745100941068677056696471446471405 73932542611249990056991245574739908606767274219407	100	328.915
977	1813313 49858990580788843054012690078841 23830405750609887318420248635858165476368020607396 633699141951	21545059302994337613166580893760438219833776155204 84682443909916414589382805776165513718624382984583	100	329.978
977	867577 1813313 49858990580788843054012690078841 23830405750609887318420248635858165476368020607396 633699141951	18691997914913918443418222752065999709448728015404 15539340640033553220212966486868347895462986316615 565391	106	349.705
977	2069655374719577273 49858990580788843054012690078841 23830405750609887318420248635858165476368020607396 633699141951	24590816800571252813238802952441608924956699177607 91019537274841966392675306792597136134094614051610 608823956943	112	370.032
977	867577 2069655374719577273 49858990580788843054012690078841 23830405750609887318420248635858165476368020607396 633699141951	21334427067389205801951280949070433746287158202411 53790357090295568677058064641201045575809402975054 177171662092737111	118	389.759
977	1813313 2069655374719577273 49858990580788843054012690078841 23830405750609887318420248635858165476368020607396 633699141951	44590847785094260152532493498100751204540007055845 73246010194455510605401238586004690714723506889768 187918395836182159	118	390.822
977	867577 1813313 2069655374719577273 49858990580788843054012690078841 23830405750609887318420248635858165476368020607396 633699141951	38685993948848722940353683111601755427781205701489 47303053786475128524502190368730191556207675936904 415169678104367408958743	124	410.549

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2000-08-01	ANONYMOUS	v4_computers	?	?	867577 1813313 2069655374719577273	101.361	31	4.41992e+13	4.52503e-8	1.55150e+14
2006-08-14	Gerry Snyder	v4_computers	?	?	2069655374719577273	60.844	19	150.0	4.52503e-8	526.5
2009-05-17	ANONYMOUS	v4_computers	?	?	867577 1813313 2069655374719577273	101.361	31	4.41992e+13	4.52503e-8	1.55150e+14

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

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TF factor-bounds graph:

this exponent TF target: 44

TF double-checked to: 67.8

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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