M1481 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	unknown	1000000000000	2232843418649100000	3,591,618.5774	88.8718%	3,591,618.5774	88.8718%	16.3718%
PrimeNet	2⁴⁰	0.0001	72.5000%	500	10000	0.0000	1.7891%	0.0001	72.9920%	0.4920%
GPU72	2⁴⁴	0.0016	75.0000%	500	10000	0.0000	0.6894%	0.0016	75.1723%	0.1723%
Difference	-44	-0.0016	-75.0000%	+999999999500	+2232843418649090000	+3,591,618.5774	+88.1824%	+3,591,618.5758	+13.6995%	+13.6995%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1481	71089	5	16.117	24 2³ × 3	-	8	8	5.926e-12	2.362e-10	4.807e-10
1481	3915278233	10	31.866	1321836 2² × 3 × 59 × 1867	-	59	1867	2.147e-7	4.650e-9	5.599e-9
1481	12787706913743	14	43.540	4317254191 101 × 42745091	-	101	42745091	0.0013	6.876e-5	0.0001
1481	3993419580376129303010329	25	81.724	1348217278992616240044 2² × 3² × 17 × 61 × 397 × 1109 × 30553 × 2684743	-	30553	2684743	340,984,279	5.171e-6	8.066e-6
1481	8268138870080189511875976090034105337	37	122.637	2791404074976431300430781934515228 2² × 67 × 10415686846926982464293962442221	-	67	10415686846926982464293962442221	9.595e+13	1.675e+19	3.129e+19
1481	8348981870260729786758008817506660899281935231	46	152.548	2818697457886809516123568135552552633113415 5 × 577193801 × 976690135272887144580947478177283	2011-12-13	577193801	976690135272887144580947478177283	9.058e+13	1.571e+21	2.934e+21

exponent	prime factors	composite factor	digits	bits*
1481	71089 3915278233	278333214305737	15	47.984
1481	71089 12787706913743	909065296791076127	18	59.657
1481	3915278233 12787706913743	50067430529361576456119	23	75.406
1481	71089 3915278233 12787706913743	3559243568901785108689043591	28	91.524
1481	71089 3993419580376129303010329	283888204549358656021701278281	30	97.841
1481	3915278233 3993419580376129303010329	15635348758282653012869802507868657	35	113.590
1481	12787706913743 3993419580376129303010329	51066679177452498576506519935841051447	38	125.264
1481	71089 3915278233 3993419580376129303010329	1111501307877555520031901390481874957473	40	129.708
1481	71089 8268138870080189511875976090034105337	587773724135130592209751264264434514301993	42	138.754
1481	71089 12787706913743 3993419580376129303010329	3630279156045920671305271995719004506315783	43	141.381
1481	3915278233 8268138870080189511875976090034105337	32372064145446180960362904180938980853585229521	47	154.503
1481	3915278233 12787706913743 3993419580376129303010329	199940257415074112068059462687379025278272253151	48	157.130
1481	12787706913743 8268138870080189511875976090034105337	10573053659271167546583609585247568945862043494639 1	51	166.177
1481	71089 8348981870260729786758008817506660899281935231	59352077217496501981084008882773101666905349363655 9	51	168.666
1481	71089 3915278233 8268138870080189511875976090034105337	23012976680356235582912384953187712099005203814183 69	52	170.621
1481	71089 3915278233 12787706913743 3993419580376129303010329	14213552959380203552806279142983087528007096204251 439	53	173.248
1481	71089 12787706913743 8268138870080189511875976090034105337	75162781158392802971908222180566442879238680999039 89799	55	182.294
1481	3915278233 8348981870260729786758008817506660899281935231	32688586984343465368788363561605898751470766340050 126823	56	184.415
1481	12787706913743 8348981870260729786758008817506660899281935231	10676433318504809693615412744530608355670184893764 3429779633	60	196.088
1481	3915278233 12787706913743 8268138870080189511875976090034105337	41396446848485400939634820123689964609900414315459 7204207103	60	198.043
1481	71089 3915278233 8348981870260729786758008817506660899281935231	23237989601299926096017959772310017363433053083478 23465720247	61	200.532
1481	3993419580376129303010329 8268138870080189511875976090034105337	33018147657047194277232036291152918507215658703668 352385025873	62	204.361
1481	71089 12787706913743 8348981870260729786758008817506660899281935231	75897696817918841630942607659593641739623777391281 33779604330337	64	212.206
1481	71089 3915278233 12787706913743 8268138870080189511875976090034105337	29428320100119786673976997277729958941532105532717 160649878745167	65	214.161
1481	71089 3993419580376129303010329 8268138870080189511875976090034105337	23472270987918279939741482279017698237594539615850 79502699104285697	67	220.478
1481	3915278233 12787706913743 8348981870260729786758008817506660899281935231	41801206978017837499219824591971480697203397041640 9494931661071628489	69	227.955
1481	3993419580376129303010329 8348981870260729786758008817506660899281935231	33340987676904514767235698490346297979776946126747 516779355857102000999	71	234.272
1481	3915278233 3993419580376129303010329 8268138870080189511875976090034105337	12927523481561682880736875918101707230572432195922 9697344065435698722409	72	236.227
1481	71089 3915278233 12787706913743 8348981870260729786758008817506660899281935231	29716060028603100499820381104186605912834922922932 134585196853920997654521	74	244.072
1481	12787706913743 3993419580376129303010329 8268138870080189511875976090034105337	42222639507300964313540021433342645969917393763760 9642670140979668034272639	75	247.901
1481	71089 3993419580376129303010329 8348981870260729786758008817506660899281935231	23701774729634650502880185699802279770843633232043 54220327628525524149017911	76	250.390
1481	71089 3915278233 3993419580376129303010329 8268138870080189511875976090034105337	91900471678073847430870377214193226531416363237596 79954492267758386477333401	76	252.345
1481	71089 12787706913743 3993419580376129303010329 8268138870080189511875976090034105337	30015652199345182520852465836748953593554576052720 031887777652103620888407633871	80	264.018
1481	3915278233 3993419580376129303010329 8348981870260729786758008817506660899281935231	13053924331810548348758499187980382111235255136526 8211533014251072522972128954767	81	266.139
1481	8268138870080189511875976090034105337 8348981870260729786758008817506660899281935231	69030541527097537765298285846409444667114617956398 095998986471641999360249065427847	83	275.185
1481	12787706913743 3993419580376129303010329 8348981870260729786758008817506660899281935231	42635477862697202777383058195744114241827888758201 2065497125794517359722871992829257	84	277.812
1481	3915278233 12787706913743 3993419580376129303010329 8268138870080189511875976090034105337	16531338140274131015671303309231992219664274461134 32476097310976735550153561464166887	85	279.767
1481	71089 3915278233 3993419580376129303010329 8348981870260729786758008817506660899281935231	92799042682408007156489294877433738390560305240055 51889670450094494585565675265431263	85	282.256
1481	71089 8268138870080189511875976090034105337 8348981870260729786758008817506660899281935231	49073121666198368621972898425354010119405110759023 84246471949282558092520745812200215383	88	291.303
1481	71089 12787706913743 3993419580376129303010329 8348981870260729786758008817506660899281935231	30309134857812814482413842240772533373373027839317 655724125175606444585339247098239050873	89	293.929
1481	71089 3915278233 12787706913743 3993419580376129303010329 8268138870080189511875976090034105337	11751962970539476997730572809499930949037136071675 7801293281740025153524866530926159829943	90	295.885
1481	3915278233 8268138870080189511875976090034105337 8348981870260729786758008817506660899281935231	27027377665324756928036784132665887991077179460079 6408347476122481391863783091328242191154351	93	307.052
1481	3915278233 12787706913743 3993419580376129303010329 8348981870260729786758008817506660899281935231	16692975842937172070427503245676918372889403098733 05842384266947336649263591625769722017662881	94	309.679
1481	12787706913743 8268138870080189511875976090034105337 8348981870260729786758008817506660899281935231	88274233314548845286121693198479673818203480119205 2025927880729737120628628556898133440219201321	96	318.725
1481	71089 3915278233 8268138870080189511875976090034105337 8348981870260729786758008817506660899281935231	19213492508502716452572069472070853113976856106376 015873013730071079666204476179433409126971658239	98	323.169
1481	71089 3915278233 12787706913743 3993419580376129303010329 8348981870260729786758008817506660899281935231	11866869596985606253146207782319264502103347768858 3439029255153019215059499465084343768513636547409	99	325.796
1481	71089 12787706913743 8268138870080189511875976090034105337 8348981870260729786758008817506660899281935231	62753269720979628625451050477867215320622671981941 78647118711319628216836857548133140813174280270856 9	101	334.843
1481	3915278233 12787706913743 8268138870080189511875976090034105337 8348981870260729786758008817506660899281935231	34561818423121653616403692236911161559335208487557 23749718983048959904209364665465463856819645680756 145793	106	350.592
1481	3993419580376129303010329 8268138870080189511875976090034105337 8348981870260729786758008817506660899281935231	27566791617827881735274438819559956134066461292106 61942640901631377725017847995724278041414295014974 45231663	108	356.909
1481	71089 3915278233 12787706913743 8268138870080189511875976090034105337 8348981870260729786758008817506660899281935231	24569651098812952339365220774297775640915806361719 56456437727859675106303395247032743601174517917992 73648278577	111	366.709
1481	71089 3993419580376129303010329 8268138870080189511875976090034105337 8348981870260729786758008817506660899281935231	19596956493197662846789245812436977216146506667945 67468403990560730110937937961680432016861008183195 1884073691007	113	373.027
1481	3915278233 3993419580376129303010329 8268138870080189511875976090034105337 8348981870260729786758008817506660899281935231	10793165917492836009861827859151331089014524567232 21017554341669282739656343979416194288518926180716 988220639786291479	118	388.776
1481	12787706913743 3993419580376129303010329 8268138870080189511875976090034105337 8348981870260729786758008817506660899281935231	35251605176101018348236149337439131871651148927413 01103121858909150410183706151299480581295081924478 106360388433393444609	121	400.449
1481	71089 3915278233 3993419580376129303010329 8268138870080189511875976090034105337 8348981870260729786758008817506660899281935231	76727537190864821910506748067920897578695353695997 05891692059492764067942983715271783577652194326098 9975617061767674950631	122	404.893
1481	71089 12787706913743 3993419580376129303010329 8268138870080189511875976090034105337 8348981870260729786758008817506660899281935231	25060013603638452933577596202492104456238085261008 63541198298279925935095494865897287750436860789292 24103053653341506583809201	126	416.566
1481	3915278233 12787706913743 3993419580376129303010329 8268138870080189511875976090034105337 8348981870260729786758008817506660899281935231	13801984242429844894798260944461280497949229316494 14590915190253349372551528622545106098415082120886 0879717887686690324002508895897	131	432.316
1481	71089 3915278233 12787706913743 3993419580376129303010329 8268138870080189511875976090034105337 8348981870260729786758008817506660899281935231	98116925781009524372631357228080796931871276288025 23385356995992035354531561824810904743022977289167 11078264917759128443014354900421833	135	448.433

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2016-09-07T20:58:13	kkmrkkblmbrbk	Manual testing	1000000000	100000000000	12	-		-	-	0.189	-	-	44.204%
2021-03-27T16:37:19	nordi	Manual testing	1000000000000	2.2328434186491E+18		-		-	-	3,591,619	-	-	81.318%
unknown			1000000000000	2232843418649100000		-		-	-	3,591,619	-	-	81.318%

ECM factoring results:

Total ECM effort:	278,528.371 GHz-days
Estimated T-Level:	51.695

Digits	B1	Curves	Complete	FacMiss
20	11000	37658 / 100	376.580	0.000%
25	50000	37658 / 280	134.493	0.000%
30	250000	37658 / 640	58.841	0.000%
35	1000000	37658 / 1580	23.834	0.000%
40	3000000	37658 / 4700	8.012	0.033%
45	11000000	30755 / 9700	3.171	4.197%
50	44000000	30754 / 17100	1.798	16.554%
55	110000000	15765 / 46500	0.339	71.246%
60	260000000	1652 / 112000	0.015	98.536%
65	800000000	1626 / 360000	0.005	99.549%

ECM Summary

B1	B2	factor	curves	GHz-days
		8348981870260729786758008817506660899281935231	1	0.00000e+0
50000	50000		1	1.44014e-5
44000000	4400000000		14,617	273.2
100000000	1000000000000		372	524.7
200000000	200000000		6,903	397.7
200000000	2000000000000		14,113	39,815
300000000	300000000		1	0.086
300000000	30000000000		1	0.127
500000000	50000000000		25	5.310
2900000000	105101237217912		1,626	237,512

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-10-13T13:53:00	Carsten Kossendey	durandal	44000000	4400000000						1	0.019
2010-12-28T17:59:00	ANONYMOUS	13_052010	44000000	4400000000						17	0.318
2010-12-30T02:07:00	James Hintz	NEW_OMFG	44000000	4400000000						3	0.056
2010-12-30T15:57:00	ANONYMOUS	13_052010	44000000	4400000000						3	0.056
2011-01-01T05:26:00	James Hintz	NEW_OMFG	44000000	4400000000						3	0.056
2011-01-03T22:47:00	James Hintz	NEW_OMFG	44000000	4400000000						3	0.056
2011-01-06T01:36:00	James Hintz	NEW_OMFG	44000000	4400000000						3	0.056
2011-01-06T01:49:00	James Hintz	13_052010	44000000	4400000000						3	0.056
2011-01-07T22:16:00	James Hintz	lappy_010411	44000000	4400000000						3	0.056
2011-01-09T20:39:00	James Hintz	NEW_OMFG	44000000	4400000000						11	0.206
2011-01-10T15:11:00	James Hintz	17_051310	44000000	4400000000						3	0.056
2011-12-13T19:36:00	Michael Kenn	Manual testing			8348981870260729786758008817506660899281935231	152.548		1		1	-
2011-12-13T19:44:00	Michael Kenn	Manual testing	44000000	4400000000						13962	261.0
2012-02-03T16:45:00	Michael Kenn	Manual testing	44000000	4400000000						565	10.56
2012-02-03T21:34:00	Michael Kenn	Edkar-V	44000000	4400000000						37	0.692
2012-09-12T20:16:00	Never Odd Or Even	Tquad	500000000	50000000000						25	5.310
2013-04-14T17:28:00	Never Odd Or Even	Dad	300000000	300000000						1	0.086
2013-04-14T17:46:00	Never Odd Or Even	Dad	300000000	30000000000						1	0.127
2013-04-20T13:28:00	Never Odd Or Even	Dad	100000000	1000000000000						62	87.46
2013-04-20T13:36:00	Never Odd Or Even	Manual testing	100000000	1000000000000						62	87.46
2013-04-21T14:23:00	Never Odd Or Even	Manual testing	100000000	1000000000000						62	87.46
2013-04-21T23:39:00	Never Odd Or Even	Dad	200000000	200000000						21	1.210
2013-04-21T23:45:00	Never Odd Or Even	Dad	200000000	200000000						22	1.267
2013-04-21T23:51:00	Never Odd Or Even	Dad	200000000	200000000						21	1.210
2013-04-21T23:54:00	Never Odd Or Even	Dad	200000000	200000000						20	1.152
2013-04-22T11:30:00	Never Odd Or Even	Manual testing	100000000	1000000000000						62	87.46
2013-04-22T21:36:00	Never Odd Or Even	Dad	200000000	200000000						53	3.053
2013-04-22T21:39:00	Never Odd Or Even	Dad	200000000	200000000						64	3.687
2013-04-22T21:46:00	Never Odd Or Even	Dad	200000000	200000000						62	3.572
2013-04-22T21:48:00	Never Odd Or Even	Dad	200000000	200000000						63	3.629
2013-04-23T14:00:00	Never Odd Or Even	Dad	200000000	200000000						105	6.049
2013-04-23T14:04:00	Never Odd Or Even	Dad	200000000	200000000						105	6.049
2013-04-23T14:51:00	Never Odd Or Even	Manual testing	100000000	1000000000000						62	87.46
2013-04-23T15:02:00	Never Odd Or Even	Dad	200000000	200000000						105	6.049
2013-04-23T15:21:00	Never Odd Or Even	Dad	200000000	200000000						105	6.049
2013-04-24T15:32:00	Never Odd Or Even	Manual testing	100000000	1000000000000						62	87.46
2013-05-09T04:41:00	Never Odd Or Even	Note	200000000	2000000000000						1	2.821
2013-05-10T15:22:00	Never Odd Or Even	Manual testing	200000000	2000000000000						673	1,899
2013-05-24T18:28:00	Never Odd Or Even	Manual testing	200000000	2000000000000						3289	9,279
2013-08-14T13:37:00	Never Odd Or Even	Dad	200000000	200000000						558	32.14
2013-08-14T13:42:00	Never Odd Or Even	Dad	200000000	200000000						527	30.36
2013-08-14T13:49:00	Never Odd Or Even	Dad	200000000	200000000						571	32.89
2013-08-14T13:52:00	Never Odd Or Even	Dad	200000000	200000000						501	28.86
2013-08-19T11:31:00	Never Odd Or Even	Manual testing	200000000	2000000000000						2150	6,065
2013-08-24T16:39:00	Never Odd Or Even	Manual testing	200000000	2000000000000						4000	11,285
2013-09-03T13:45:00	Never Odd Or Even	Dad	200000000	200000000						1000	57.61
2013-09-03T14:36:00	Never Odd Or Even	Dad	200000000	200000000						1000	57.61
2013-09-03T20:20:00	Never Odd Or Even	Dad	200000000	200000000						1000	57.61
2013-09-03T20:49:00	Never Odd Or Even	Dad	200000000	200000000						1000	57.61
2013-09-09T16:51:00	Never Odd Or Even	Manual testing	200000000	2000000000000						4000	11,285
2014-01-17T15:41:00	Never Odd Or Even	Dad	50000	50000						1	1.44014e-5
2021-03-27T16:37:18	nordi	Manual testing	2900000000	105101237217912						1626	237,512

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