M29 679 101 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁷¹	16.1082	64.7887%	200000	69050940	5.6974	5.4261%	21.8056	66.6993%
Target	2⁷⁰	8.0511	64.2857%	220000	56000000	4.6994	4.1314%	12.7505	65.7612%
Difference	+1	+8.0571	+0.5030%	-20000	+13050940	+0.9980	+1.2947%	+9.0551	+0.9381%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
29679101	23683922599	11	34.463	399 3 × 7 × 19	-	7	19	8.377e-11	1.104e-5	2.054e-5
29679101	28491936961	11	34.730	480 2⁵ × 3 × 5	2008-09-09	32	32	8.513e-11	4.614e-5	9.391e-5
29679101	16066840684553	14	43.869	270676 2² × 7² × 1381	2008-10-01	49	1381	6.269e-8	0.0002	0.0002
29679101	81345370393831	14	46.209	1370415 3 × 5 × 103 × 887	2008-10-01	103	887	5.138e-7	0.0002	0.0003
29679101	11124040228673753	17	53.305	187405276 2² × 46851319	2014-09-16	4	46851319	7.732e-5	3.6807	6.8745
29679101	1008587006048481104953	22	69.773	16991535660876 2² × 3⁴ × 7 × 1163 × 6441839	2022-04-08	1163	6441839	6.5130	0.5077	0.9452

exponent	prime factors	composite factor	digits	bits*
29679101	23683922599 28491936961	674800829679911281639	21	69.193
29679101	23683922599 16066840684553	380525811183417426913247	24	78.332
29679101	28491936961 16066840684553	457775411946714162463433	24	78.599
29679101	23683922599 81345370393831	1926577456194479551086769	25	80.672
29679101	28491936961 81345370393831	2317687165330228595287591	25	80.939
29679101	23683922599 11124040228673753	263460907764071426474844047	27	87.768
29679101	28491936961 11124040228673753	316945452947000595111284633	27	88.034
29679101	16066840684553 81345370393831	1306963106543637003248192543	28	90.078
29679101	16066840684553 11124040228673753	178728182122659712309823637409	30	97.174
29679101	81345370393831 11124040228673753	904889172677342934372422817743	30	99.514
29679101	23683922599 1008587006048481104953	23887296585609371331220847532847	32	104.236
29679101	28491936961 1008587006048481104953	28736597396017049352120500867833	32	104.503
29679101	23683922599 28491936961 16066840684553	10841917424271318136161058339822367	35	113.062
29679101	16066840684553 1008587006048481104953	16204806742691238907808944358891009	35	113.642
29679101	23683922599 28491936961 81345370393831	54891923432376850325767801389169009	35	115.402
29679101	81345370393831 1008587006048481104953	82043883581418762599489979654744943	35	115.982
29679101	23683922599 28491936961 11124040228673753	7506511575701758543822603039430121167	37	122.498
29679101	11124040228673753 1008587006048481104953	11219562429400921650881244339189398609	38	123.077
29679101	23683922599 16066840684553 81345370393831	30954013055128089200882503775060979257	38	124.541
29679101	28491936961 16066840684553 81345370393831	37237910441994032092214454172346281823	38	124.808
29679101	23683922599 16066840684553 11124040228673753	4232984431653048150361470535735396905991	40	131.637
29679101	28491936961 16066840684553 11124040228673753	5092312098192947692785890778084949374049	40	131.904
29679101	23683922599 81345370393831 11124040228673753	21431325126363335658655998655526695874057	41	133.977
29679101	28491936961 81345370393831 11124040228673753	25782045264614298479117831019971548299023	41	134.243
29679101	23683922599 28491936961 1008587006048481104953	680595348485892747739985039074869100857967	42	138.966
29679101	16066840684553 81345370393831 11124040228673753	14538710174583838375485355578471099274423879	44	143.383
29679101	23683922599 16066840684553 1008587006048481104953	383793388625652611247964334875872334633012391	45	148.105
29679101	28491936961 16066840684553 1008587006048481104953	461706332177946526448282933305479188297683649	45	148.372
29679101	23683922599 81345370393831 1008587006048481104953	1943120988463688888012676715019063973098666857	46	150.445
29679101	28491936961 81345370393831 1008587006048481104953	2337589159037406294927292991074165460489538223	46	150.712
29679101	23683922599 11124040228673753 1008587006048481104953	265723248172579830318734691070168619056914264791	48	157.541
29679101	28491936961 11124040228673753 1008587006048481104953	319667065468495072672208463809422447007129087249	48	157.807
29679101	23683922599 28491936961 16066840684553 81345370393831	881939788656680535291929163126881944921372617977	48	159.271
29679101	16066840684553 81345370393831 1008587006048481104953	1318186006644668868994947778484706282584734965479	49	159.851
29679101	23683922599 28491936961 16066840684553 11124040228673753	12060592558355306092359666786743182642181001523335 1	51	166.367
29679101	16066840684553 11124040228673753 1008587006048481104953	18026292210358102375093393067437025327214594598677 7	51	166.947
29679101	23683922599 28491936961 81345370393831 11124040228673753	61061996449103951876811012767776737309625083932077 7	51	168.707
29679101	81345370393831 11124040228673753 1008587006048481104953	91265946147632834116534002151997846927389037358107 9	51	169.286
29679101	23683922599 16066840684553 81345370393831 11124040228673753	34433368646413740512132106057850238597390021055334 1521	54	177.846
29679101	28491936961 16066840684553 81345370393831 11124040228673753	41423601378849202740374139892046824928725800006109 1719	54	178.113
29679101	23683922599 28491936961 16066840684553 1008587006048481104953	10935017034770668627162039368859648318247686113903 883751	56	182.835
29679101	23683922599 28491936961 81345370393831 1008587006048481104953	55363280710903432034773373533195732634753415922784 001577	56	185.175
29679101	23683922599 28491936961 11124040228673753 1008587006048481104953	75709700360053029741814653552550539218100245036068 33840151	58	192.270
29679101	23683922599 16066840684553 81345370393831 1008587006048481104953	31219815352457237189261214107678781101985884581333 572959921	59	194.314
29679101	28491936961 16066840684553 81345370393831 1008587006048481104953	37557672604192232542123219532073243506004920777320 179169319	59	194.581
29679101	23683922599 16066840684553 11124040228673753 1008587006048481104953	42693330945707792272422998680546169515655310673824 61145473423	61	201.410
29679101	28491936961 16066840684553 11124040228673753 1008587006048481104953	51360398129808840410674533176501014746035862702469 61223564697	61	201.676
29679101	23683922599 81345370393831 11124040228673753 1008587006048481104953	21615356044850382702869978531196164398429319339505 469486904321	62	203.750
29679101	28491936961 81345370393831 11124040228673753 1008587006048481104953	26003435843243755090220569171277609948628959967296 842690360919	62	204.016
29679101	23683922599 28491936961 16066840684553 81345370393831 11124040228673753	98107336882849419339587982150443521729564553903904 33544235857681	64	212.576
29679101	16066840684553 81345370393831 11124040228673753 1008587006048481104953	14663554166790103576973926601115058620834333886716 900226408372687	65	213.156
29679101	23683922599 28491936961 16066840684553 81345370393831 1008587006048481104953	88951301095627159844465533851830769719509993540317 8038086963311540081	69	229.044
29679101	23683922599 28491936961 16066840684553 11124040228673753 1008587006048481104953	12164156939602169309523590171327076388900710143234 8126233860618616887503	72	236.140
29679101	23683922599 28491936961 81345370393831 11124040228673753 1008587006048481104953	61586336181944739264689622209026448796504065403532 7993535586928970508481	72	238.480
29679101	23683922599 16066840684553 81345370393831 11124040228673753 1008587006048481104953	34729048191250074939624351626191619546918805257472 5899187461474484453653513	75	247.619
29679101	28491936961 16066840684553 81345370393831 11124040228673753 1008587006048481104953	41779306094439251083380172785961124253263144232476 4036504153982040598184207	75	247.885
29679101	23683922599 28491936961 16066840684553 81345370393831 11124040228673753 1008587006048481104953	98949785178062820696630290755394946063730598118134 44061503193452627163470418532193993	85	282.349

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2022-04-15	masser	Manual testing	200000	69050940		-	skipped known factor: 23683922599 skipped known factor: 28491936961 skipped known factor: 16066840684553 skipped known factor: 81345370393831 skipped known factor: 11124040228673753 skipped known factor: 1008587006048481104953	-	-	5.697	-	-	5.426%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-09-09	Will Edgington	Manual testing	?	?	28491936961	34.730	11	8.01184e-12	67.93	1.84399e-11
2008-10-01	markr	Manual testing	?	?	16066840684553	43.869	14	2.32108e-8	67.93	5.34217e-8
2008-10-01	markr	Manual testing	?	?	81345370393831	46.209	14	1.97924e-7	67.93	4.55540e-7
2014-09-16	TJAOI	Manual testing	2⁵³	2⁵⁴*	11124040228673753	53.305	17	3.68945e-5	67.93	8.49156e-5
2022-06-25	LordJulius	Manual testing	2¹	2⁶⁵	11124040228673753	53.305	17	7.73244e-5	67.93	0.000
2022-06-25	LordJulius	Manual testing	2¹	2⁶⁵	16066840684553	43.869	14	6.26932e-8	67.93	1.44294e-7
2022-06-25	LordJulius	Manual testing	2¹	2⁶⁵	23683922599	34.463	11	8.37738e-11	67.93	1.92812e-10
2022-06-25	LordJulius	Manual testing	2¹	2⁶⁵	28491936961	34.730	11	8.51258e-11	67.93	1.95924e-10
2022-06-25	LordJulius	Manual testing	2¹	2⁶⁵	81345370393831	46.209	14	5.13783e-7	67.93	1.18251e-6
2022-06-25	LordJulius	Manual testing	2⁶⁵	2⁶⁶		-	-	0.252	-	-
2022-06-25	LordJulius	Manual testing	2⁶⁶	2⁶⁷		-	-	0.504	-	-
2022-04-08	masser	Manual testing	2⁶⁷	2⁷¹	MISSED FACTOR!	-	-	15.11	-	-
2022-04-08	masser	Manual testing	2⁶⁷	2⁷¹	1008587006048481104953	69.773	22	5.512	59.88	11.18

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 = 200000, B2 = 69050940 (P-1 stage 2)

B1 = 200000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

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