M2 844 629 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	10.4456	67.1642%	360000	287380170	1.7916	8.0056%	12.2372	69.7929%
Target	2⁶³	0.5611	65.0794%	16000	260000	0.0033	1.8283%	0.5643	65.7178%
Difference	+4	+9.8846	+2.0848%	+344000	+287120170	+1.7883	+6.1773%	+11.6729	+4.0751%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2844629	85338871	8	26.347	15 3 × 5	-	3	5	3.153e-12	3.482e-7	6.838e-7
2844629	1176191509663	13	40.097	206739 3³ × 13 × 19 × 31	2008-09-30	27	31	9.004e-8	3.048e-6	6.154e-6
2844629	56037211438217	14	45.671	9849652 2² × 2462413	2014-01-28	4	2462413	3.228e-6	0.0150	0.0281
2844629	15186636425177663	17	53.754	2669352739 1847 × 1445237	2014-10-10	1847	1445237	0.0008	0.0090	0.0165
2844629	49771866515361342956538673	26	85.364	8748393290541814584 2³ × 3 × 29 × 1471 × 76343 × 111927593	2023-01-31	76343	111927593	3,019,297	0.6910	1.2755
2844629	1070830290649203965475023720761	31	99.757	188219674806311115698220 2² × 3² × 5 × 7 × 1021 × 11863 × 161507 × 76362977	2023-01-31	161507	76362977	5.129e+10	0.4830	0.8702

exponent	prime factors	composite factor	digits	bits*
2844629	85338871 1176191509663	100374855514426010473	21	66.444
2844629	85338871 56037211438217	4782152358125725033007	22	72.018
2844629	85338871 15186636425177663	1296010406812137734838473	25	80.100
2844629	1176191509663 56037211438217	65910492318821184682990871	26	85.769
2844629	1176191509663 15186636425177663	17862392823632820986956257569	29	93.851
2844629	56037211438217 15186636425177663	851016756393008668349972946871	30	99.425
2844629	85338871 49771866515361342956538673	4247474895983641164954812421658183	34	111.710
2844629	85338871 1176191509663 56037211438217	5624727001542371951728933834446641	34	112.115
2844629	85338871 1176191509663 15186636425177663	1524356436927327061571952747323664599	37	120.198
2844629	1176191509663 49771866515361342956538673	58541246815448177152002313592912697199	38	125.461
2844629	85338871 56037211438217 15186636425177663	72624809192661392050200124166514122641	38	125.772
2844629	85338871 1070830290649203965475023720761	91383448036604923462361503027963000831	38	126.103
2844629	56037211438217 49771866515361342956538673	2789076607596016345261023074946510666041	40	131.035
2844629	15186636425177663 49771866515361342956538673	755867240971267012101406045576651555261199	42	139.117
2844629	1176191509663 56037211438217 15186636425177663	1000958683450402372165199967605410382114473	43	139.522
2844629	1176191509663 1070830290649203965475023720761	1259501496151556284501274281042615945213543	43	139.854
2844629	56037211438217 1070830290649203965475023720761	60006343411556807072782833608857707411723137	44	145.428
2844629	85338871 1176191509663 49771866515361342956538673	4995843910162692797159872831407123180527522329	46	151.807
2844629	15186636425177663 1070830290649203965475023720761	16262310297156784761265047189566220458726561543	47	153.510
2844629	85338871 56037211438217 49771866515361342956538673	238016648824754059002121909520883605629396979711	48	157.382
2844629	85338871 15186636425177663 49771866515361342956538673	64504856970372870252277329442085987686384832766329	50	165.464
2844629	85338871 1176191509663 56037211438217 15186636425177663	85420683963303722936299990724682295501327718579983	50	165.869
2844629	85338871 1176191509663 1070830290649203965475023720761	10748443570438465821229354520551354765112161352995 3	51	166.201
2844629	1176191509663 56037211438217 49771866515361342956538673	32804882256541171183573865663132147732648954174541 83	52	171.132
2844629	85338871 56037211438217 1070830290649203965475023720761	51208735995805462679561018483607723501647846761583 27	52	171.775
2844629	1176191509663 15186636425177663 49771866515361342956538673	88904463126280115336942406679175677616718652209746 5937	54	179.214
2844629	85338871 15186636425177663 1070830290649203965475023720761	13878072006110345215163636589193042336848268597916 37953	55	179.857
2844629	56037211438217 15186636425177663 49771866515361342956538673	42356692401528609231171760214696292950113483067885 842183	56	184.789
2844629	49771866515361342956538673 1070830290649203965475023720761	53297222286797769443805899081261671881039225762249 490153	56	185.120
2844629	1176191509663 56037211438217 1070830290649203965475023720761	70578951646595414632020476980953281329547780812216 172831	56	185.525
2844629	1176191509663 15186636425177663 1070830290649203965475023720761	19127591299020988804955488899570828183458670803778 248690009	59	193.607
2844629	85338871 1176191509663 56037211438217 49771866515361342956538673	27995316150611559138239274407973638113094715885861 3671447393	60	197.479
2844629	56037211438217 15186636425177663 1070830290649203965475023720761	91129452059566827923774882401396447858831755125135 4192688831	60	199.182
2844629	85338871 1176191509663 15186636425177663 49771866515361342956538673	75870065100578754726044495780237115384707405042214 295024537127	62	205.561
2844629	85338871 56037211438217 15186636425177663 49771866515361342956538673	36146723088407301859883760238048992482479439668909 94128781395393	64	211.135
2844629	85338871 49771866515361342956538673 1070830290649203965475023720761	45483247773913598496526933707348083339003338332644 85909982637263	64	211.467
2844629	85338871 1176191509663 56037211438217 1070830290649203965475023720761	60231280498840436784735079544360415324089865550699 91197338413801	64	211.872
2844629	85338871 1176191509663 15186636425177663 1070830290649203965475023720761	16323270464078745899185406279424068617113438415550 98277562597039839	67	219.954
2844629	1176191509663 56037211438217 15186636425177663 49771866515361342956538673	49819581980085255860496710405376673804043681596787 837430966937514329	68	224.886
2844629	1176191509663 49771866515361342956538673 1070830290649203965475023720761	62687740342353157596091072284734190564498883894620 909737909122848439	68	225.217
2844629	85338871 56037211438217 15186636425177663 1070830290649203965475023720761	77768845536120578440662225222929416836830693613275 204025181291849801	68	225.528
2844629	56037211438217 49771866515361342956538673 1070830290649203965475023720761	29866277143549379795055619422176561311038080600091 76910201768109377201	70	230.792
2844629	15186636425177663 49771866515361342956538673 1070830290649203965475023720761	80940553734147374644719400973005742859346276522617 7569061827154194052439	72	238.874
2844629	1176191509663 56037211438217 15186636425177663 1070830290649203965475023720761	10718568779270389193750092282145877874644498596815 69662671800731088673953	73	239.279
2844629	85338871 1176191509663 56037211438217 15186636425177663 49771866515361342956538673	42515468798724202188809227652087976721723630221533 51272890258885800383182559	76	251.233
2844629	85338871 1176191509663 49771866515361342956538673 1070830290649203965475023720761	53497009863575719525354861219586063578731874323270 31410026070444486088372369	76	251.564
2844629	85338871 56037211438217 49771866515361342956538673 1070830290649203965475023720761	25487543724036090044602579436942201049462696364188 3407155887272658054846480071	78	257.138
2844629	85338871 15186636425177663 49771866515361342956538673 1070830290649203965475023720761	69073754737869710997943797908326115721329230364940 053389260858536063350059056369	80	265.220
2844629	85338871 1176191509663 56037211438217 15186636425177663 1070830290649203965475023720761	91471055835878321752523313150414267512604103661333 574520262317928082036036127063	80	265.626
2844629	1176191509663 56037211438217 49771866515361342956538673 1070830290649203965475023720761	35128461601484896383333818551221433389763958526703 81087644259418500219350903393263	82	270.889
2844629	1176191509663 15186636425177663 49771866515361342956538673 1070830290649203965475023720761	95201592089525972537500560501464655804503279252415 6334601737923076669620283197218057	84	278.971
2844629	56037211438217 15186636425177663 49771866515361342956538673 1070830290649203965475023720761	45356829235267809737790511828029298530085882381564 247750104536066668361498762706661263	86	284.545
2844629	85338871 1176191509663 56037211438217 49771866515361342956538673 1070830290649203965475023720761	29978232530375729809056912912800927964841591771597 2657159313148405925232658448411133426073	90	297.236
2844629	85338871 1176191509663 15186636425177663 49771866515361342956538673 1070830290649203965475023720761	81243963863226774215273029950621875727599065671988 741822410548993247831834966750859325193647	92	305.318
2844629	85338871 56037211438217 15186636425177663 49771866515361342956538673 1070830290649203965475023720761	38707005990775482656658483139161664914794887354814 84116958211239908258701724277283376363854073	94	310.892
2844629	1176191509663 56037211438217 15186636425177663 49771866515361342956538673 1070830290649203965475023720761	53348317451756538937599274289047238476296620823415 506360622405442318892125988333254514954332284369	98	324.642
2844629	85338871 1176191509663 56037211438217 15186636425177663 49771866515361342956538673 1070830290649203965475023720761	45526851810824999998022615182466189972349138821853 69676708834937751749876002634119112061855333706901 407399	106	350.989

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2023-01-31	USAFSS	USAFSACS	360000	287380170			49771866515361342956538673 1070830290649203965475023720761	56	185.120	1.792	0.439	3.583	8.006%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-09-30	markr	Manual testing	?	?	1176191509663	40.097	13	3.85520e-8	1.004	1.76129e-7
2014-01-28	TJAOI	Manual testing	?	?	56037211438217	45.671	14	1.58069e-6	1.004	7.22151e-6
2014-10-10	TJAOI	Manual testing	2⁵³	2⁵⁴*	15186636425177663	53.754	17	0.000	1.003	0.002

ECM factoring results:

Total ECM effort:	0.313 GHz-days
Estimated T-Level:	0.577

Digits	B1	Complete	FacMiss
20	11000	0.115	89.102%
25	50000	0.011	98.938%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		3	0.313

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2018-05-08	Ismo Laitela	6600K	50000	5000000						3	0.313

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 = 360000, B2 = 287380170 (P-1 stage 2)

B1 = 360000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

TF factor-bounds graph:

2⁵⁴

this exponent TF target: 63

TF double-checked to: 67.7

ECM T-Level=0.58 ~= -15-bit

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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