M5 610 461 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁸	10.6239	66.1765%	1000000000	241000000000	3,223.0792	23.7981%	3,233.7030	74.2258%
Target	2⁶⁶	2.6323	65.1515%	36000	700000	0.0165	2.1906%	2.6488	65.9149%
Difference	+2	+7.9916	+1.0250%	+999964000	+240999300000	+3,223.0626	+21.6074%	+3,231.0542	+8.3109%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
5610461	33662767	8	25.005	3 3	-	1	3	7.973e-13	2.539e-7	4.660e-7
5610461	39766947569	11	35.211	3544 2³ × 443	2008-09-08	8	443	1.442e-9	7.259e-6	1.029e-5
5610461	89576620327	11	36.382	7983 3² × 887	2008-09-08	9	887	2.819e-9	1.301e-5	2.059e-5
5610461	79662161495383	14	46.179	7099431 3 × 2366477	2008-09-30	3	2366477	2.796e-6	0.0295	0.0551
5610461	187529378401951	15	47.414	16712475 3 × 5² × 13 × 61 × 281	2014-03-05	61	281	4.741e-6	1.671e-5	2.843e-5
5610461	7021230942854281	16	52.641	625726740 2² × 3 × 5 × 131 × 79609	2014-08-19	131	79609	0.0002	0.0010	0.0019
5610461	126951438723183551	18	56.817	11313815275 5² × 7 × 64650373	2015-08-06	25	64650373	0.0030	0.8065	1.5064

exponent	prime factors	composite factor	digits	bits*
5610461	33662767 39766947569	1338665490316463423	19	60.216
5610461	33662767 89576620327	3015396898715264809	19	61.387
5610461	33662767 79662161495383	2681648781135449504761	22	71.184
5610461	39766947569 89576620327	3562188763952028635063	22	71.593
5610461	33662767 187529378401951	6312757770799708858417	22	72.419
5610461	33662767 7021230942854281	236354061282493976255527	24	77.645
5610461	39766947569 79662161495383	3167920999420106396573927	25	81.390
5610461	33662767 126951438723183551	4273536702053305375545617	25	81.822
5610461	89576620327 79662161495383	7135867194700081554450241	25	82.561
5610461	39766947569 187529378401951	7457470958557546424307119	25	82.625
5610461	89576620327 187529378401951	16798247929269878723057977	26	83.797
5610461	39766947569 7021230942854281	279212922774326627734192889	27	87.851
5610461	89576620327 7021230942854281	628938138396242162823569887	27	89.023
5610461	39766947569 126951438723183551	5048471207513956577380237519	28	92.028
5610461	89576620327 126951438723183551	11371880826473018600658641177	29	93.199
5610461	79662161495383 187529378401951	14938995627385009337004692233	29	93.593
5610461	33662767 39766947569 89576620327	119913130370935139119453799321	30	96.598
5610461	79662161495383 7021230942854281	559326433266037980725223284623	30	98.820
5610461	187529378401951 7021230942854281	1316687074330007659278439102231	31	100.055
5610461	79662161495383 126951438723183551	10113226013637467041320548045033	32	102.996
5610461	187529378401951 126951438723183551	23807124390991983245083629508001	32	104.231
5610461	33662767 39766947569 79662161495383	106640986477886176743077702876009	33	106.394
5610461	33662767 89576620327 79662161495383	240213034718132480248456275876847	33	107.566
5610461	33662767 39766947569 187529378401951	251039107287189341373133683338273	33	107.630
5610461	33662767 89576620327 187529378401951	565475506051244407572558207242359	33	108.801
5610461	7021230942854281 126951438723183551	891355369803085523050515009131831	33	109.458
5610461	33662767 39766947569 7021230942854281	9399079562741150851311873155463863	34	112.856
5610461	33662767 89576620327 7021230942854281	21171798010246453602705895214297329	35	114.028
5610461	33662767 39766947569 126951438723183551	169945509964750969512468406006755073	36	117.033
5610461	39766947569 89576620327 79662161495383	283771656590985257855846752466414129	36	117.772
5610461	33662767 89576620327 126951438723183551	382808974613328656940637884477956759	36	118.204
5610461	33662767 79662161495383 187529378401951	502887929018680388604413432546188711	36	118.598
5610461	39766947569 89576620327 187529378401951	668015044654338087630835242706207913	36	119.007
5610461	33662767 79662161495383 7021230942854281	18828475399975685558303682453238731841	38	123.824
5610461	39766947569 89576620327 7021230942854281	25010949973747827835632064693736254703	38	124.234
5610461	33662767 187529378401951 7021230942854281	44323330195082728942505483622091333177	38	125.059
5610461	33662767 79662161495383 126951438723183551	340439170915416875482152981152251386311	39	128.0007
5610461	39766947569 89576620327 126951438723183551	452224988587268917885553932552543448713	39	128.410
5610461	39766947569 79662161495383 187529378401951	594078255847739926881241047536692531577	39	128.804
5610461	33662767 187529378401951 126951438723183551	801413681313980030847154115642162298767	39	129.236
5610461	89576620327 79662161495383 187529378401951	1338184739380980145232219307572926820191	40	129.975
5610461	39766947569 79662161495383 7021230942854281	22242704945646309807862586955420804931487	41	134.030
5610461	33662767 7021230942854281 126951438723183551	30005488127880103843522615982407699236377	41	134.462
5610461	89576620327 79662161495383 7021230942854281	50102571551526986782985070278974328331721	41	135.202
5610461	39766947569 187529378401951 7021230942854281	52360625849661420389894104150579607926439	41	135.266
5610461	89576620327 187529378401951 7021230942854281	117944378146727523998186718237737025649537	42	136.437
5610461	39766947569 79662161495383 126951438723183551	402172128637768030806159790629172761874777	42	138.207
5610461	89576620327 79662161495383 126951438723183551	905908606904743109382346752933483139185791	42	139.378
5610461	39766947569 187529378401951 126951438723183551	946736667425239253606567171664897032999569	42	139.442
5610461	89576620327 187529378401951 126951438723183551	2132561742649549982045601669801339385736327	43	140.614
5610461	33662767 39766947569 89576620327 79662161495383	9552539157026351035636288815983574150034943	43	142.777
5610461	33662767 39766947569 89576620327 187529378401951	22487234800693578583142388790607526428875271	44	144.012
5610461	39766947569 7021230942854281 126951438723183551	35446482256305907849572771306593079585968839	44	144.669
5610461	89576620327 7021230942854281 126951438723183551	79844601537283672651406189814816963377328737	44	145.840
5610461	79662161495383 187529378401951 7021230942854281	104890138354160430227494343866952378971499473	45	146.234
5610461	33662767 39766947569 89576620327 7021230942854281	841937781414929245186996491514169901519743201	45	149.239
5610461	79662161495383 187529378401951 126951438723183551	1896526987975875021161936188229990086723059383	46	150.410
5610461	33662767 39766947569 89576620327 126951438723183551	15223144422390892749123534697449985371402168871	47	153.415
5610461	33662767 39766947569 79662161495383 187529378401951	19998317906368856635200254054063604641116693559	47	153.809
5610461	33662767 89576620327 79662161495383 187529378401951	45047001084737658860578359443728771056140528497	47	154.980
5610461	79662161495383 7021230942854281 126951438723183551	71007295419030234393181253455709668115544836273	47	155.637
5610461	187529378401951 7021230942854281 126951438723183551	167155318434413792866187771317834145866666602281	48	156.872
5610461	33662767 39766947569 79662161495383 7021230942854281	748750994035039391471893032697569943361097844529	48	159.035
5610461	33662767 89576620327 79662161495383 7021230942854281	1686591192239881450287705985279737813612222732007	49	160.207
5610461	33662767 39766947569 187529378401951 7021230942854281	1762603547951329423474054382694694256579069196713	49	160.270
5610461	33662767 89576620327 187529378401951 7021230942854281	3970334120513180452837867918531592101713387688879	49	161.442
5610461	33662767 39766947569 79662161495383 126951438723183551	13538226660227212621076579196718626085737101327959	50	163.212
5610461	33662767 89576620327 79662161495383 126951438723183551	30495390357528958485993452657206409412839852143697	50	164.383
5610461	33662767 39766947569 187529378401951 126951438723183551	31869775845892318913411780369604430900855802347423	50	164.447
5610461	39766947569 89576620327 79662161495383 187529378401951	53215522368599366951279670533762065502409387565679	50	165.186
5610461	33662767 89576620327 187529378401951 126951438723183551	71787929055925763700455272385333424029965099236809	50	165.618
5610461	33662767 39766947569 7021230942854281 126951438723183551	11932266731636600566636392500381284019149254965175 13	52	169.673
5610461	39766947569 89576620327 79662161495383 7021230942854281	19924263359616446652875232710937523178645402465362 49	52	170.413
5610461	33662767 89576620327 7021230942854281 126951438723183551	26877902177574220853685587900939565858185503560352 79	52	170.845
5610461	33662767 79662161495383 187529378401951 7021230942854281	35308922880138660433678990914110969334132864002217 91	52	171.238
5610461	39766947569 89576620327 187529378401951 7021230942854281	46902879018192228357650804752322643762151460481255 53	52	171.648
5610461	39766947569 89576620327 79662161495383 126951438723183551	36025220073086750608221815298083220940546880046792 079	53	174.589
5610461	33662767 79662161495383 187529378401951 126951438723183551	63842346105443682458494327173254298701668141537092 761	53	175.415
5610461	39766947569 89576620327 187529378401951 126951438723183551	84805471007599925277452332970048713998551182267639 063	53	175.824
5610461	33662767 79662161495383 7021230942854281 126951438723183551	23903020409909821463330469238474993774209149015111 47391	55	180.641
5610461	39766947569 89576620327 7021230942854281 126951438723183551	31751760830008566090082291644878880019580250475559 90353	55	181.051
5610461	39766947569 79662161495383 187529378401951 7021230942854281	41711606324350537818712503148011519663794376881021 31137	55	181.445
5610461	33662767 187529378401951 7021230942854281 126951438723183551	56269105372684762908407411241215337969536108992669 71527	55	181.876
5610461	89576620327 79662161495383 187529378401951 7021230942854281	93957040993971295193352350771099742537194270468015 87671	55	182.616
5610461	39766947569 79662161495383 187529378401951 126951438723183551	75419089294030115403443481855865730692105665507034 489927	56	185.621
5610461	89576620327 79662161495383 187529378401951 126951438723183551	16988447794182385100622584831727942815336529394686 5878241	57	186.793
5610461	33662767 39766947569 89576620327 79662161495383 187529378401951	17913817302774486060284279010147980444463451522361 49373793	58	190.191
5610461	39766947569 79662161495383 7021230942854281 126951438723183551	28237433939450692159394194372869064356372625379370 80370337	58	190.848
5610461	89576620327 79662161495383 7021230942854281 126951438723183551	63605935421975976767718143784960616511293373655718 98721271	58	192.019
5610461	39766947569 187529378401951 7021230942854281 126951438723183551	66472567840608324661601153349052725133176288377119 02804889	58	192.083
5610461	89576620327 187529378401951 7021230942854281 126951438723183551	14973208495038268374386523107227929728254730597616 249165887	59	193.254
5610461	33662767 39766947569 89576620327 79662161495383 7021230942854281	67070583512140565304366883881906819431983955881272 307140983	59	195.418
5610461	33662767 39766947569 89576620327 187529378401951 7021230942854281	15788806880185937444143917077399298657893080328902 1277385151	60	196.653
5610461	33662767 39766947569 89576620327 79662161495383 126951438723183551	12127085894440422565116792526964110131311504755921 10852822593	61	199.594
5610461	33662767 39766947569 89576620327 187529378401951 126951438723183551	28547868108540915138322882383771678379828667862500 65417867321	61	200.829
5610461	79662161495383 187529378401951 7021230942854281 126951438723183551	13315953971934442619922109646383182618070512086098 890678768623	62	203.051
5610461	33662767 39766947569 89576620327 7021230942854281 126951438723183551	10688521266603049682945411944676044813200854095604 1222707286751	63	206.056
5610461	33662767 39766947569 79662161495383 187529378401951 7021230942854281	14041280848923385809160072334582782997582284448560 0712668276079	63	206.449
5610461	33662767 89576620327 79662161495383 187529378401951 7021230942854281	31628539789895041147820401329098009667895595604997 9940998945657	63	207.621
5610461	33662767 39766947569 79662161495383 187529378401951 126951438723183551	25388152302571302658092289273827356755731017573432 38895376448009	64	210.626
5610461	33662767 89576620327 79662161495383 187529378401951 126951438723183551	57187815978722558514652962812819194638199761560198 56439477152847	64	211.797
5610461	33662767 39766947569 79662161495383 7021230942854281 126951438723183551	95055015938162075815041362632660243493657665332404 597166928142479	65	215.852
5610461	33662767 89576620327 79662161495383 7021230942854281 126951438723183551	21411517839270239855291089959056273377960217060164 0648401743616857	66	217.024
5610461	33662767 39766947569 187529378401951 7021230942854281 126951438723183551	22376505631100911713438334721204315568731573655637 6597247624867863	66	217.087
5610461	39766947569 89576620327 79662161495383 187529378401951 7021230942854281	37363847229456401410450646504572201819460035860687 9246058613821799	66	217.827
5610461	33662767 89576620327 187529378401951 7021230942854281 126951438723183551	50403962881089388437044229529872981433461231275532 6551085198429329	66	218.259
5610461	39766947569 89576620327 79662161495383 187529378401951 126951438723183551	67557871270994461151982512026057978960971801352892 88451884984946129	67	222.003
5610461	39766947569 89576620327 79662161495383 7021230942854281 126951438723183551	25294138990029185584994095156665320475345192865441 0282148562002040199	69	227.230
5610461	33662767 79662161495383 187529378401951 7021230942854281 126951438723183551	44825185593995368118930753517464946919055763792503 0895877860002959841	69	228.055
5610461	39766947569 89576620327 187529378401951 7021230942854281 126951438723183551	59543879716189221509277972694534004643592228955162 5416962268312378703	69	228.465
5610461	39766947569 79662161495383 187529378401951 7021230942854281 126951438723183551	52953484343313427717168152917158915365616220607287 5399371654652323327487	72	238.262
5610461	89576620327 79662161495383 187529378401951 7021230942854281 126951438723183551	11927981532357791802991299821069305781368081104509 45064907936262351599721	73	239.433
5610461	33662767 39766947569 89576620327 79662161495383 187529378401951 7021230942854281	12577704835087863773384714782827784645254592529899 820657206785426199257833	74	242.832
5610461	33662767 39766947569 89576620327 79662161495383 187529378401951 126951438723183551	22741848796114804040497388904078876742540958425127 1794751594959040048078943	75	247.008
5610461	33662767 39766947569 89576620327 79662161495383 7021230942854281 126951438723183551	85147070728696779754741492163465318014187447199940 36850371302059732743570633	76	252.235
5610461	33662767 39766947569 89576620327 187529378401951 7021230942854281 126951438723183551	20044117491621038915782127330484603718941632463282 900882478685991087494851201	77	253.470
5610461	33662767 39766947569 79662161495383 187529378401951 7021230942854281 126951438723183551	17825608052871079252143734314706908699254586457237 189589079956965626181859576529	80	263.266
5610461	33662767 89576620327 79662161495383 187529378401951 7021230942854281 126951438723183551	40152886310406330609860602890379773136994665545820 428649795734850392773485288007	80	264.438
5610461	39766947569 89576620327 79662161495383 187529378401951 7021230942854281 126951438723183551	47433941620127258357817299734762216452289305837316 693342693203156929894748282028249	83	274.644
5610461	33662767 39766947569 89576620327 79662161495383 187529378401951 7021230942854281 126951438723183551	15967577246499464084480063895404622928369815189933 31753205532450355395482245941567233504983	91	299.649

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2019-08-27	alpertron	Manual testing	30000000	1000000000	12	-	skipped known factor: 33662767 skipped known factor: 39766947569 skipped known factor: 89576620327 skipped known factor: 79662161495383 skipped known factor: 187529378401951 skipped known factor: 7021230942854281 skipped known factor: 126951438723183551	-	-	18.97	-	-	13.057%
2021-10-19	Seth_Tr	Manual testing	1000000000	241000000000		-	skipped known factor: 33662767 skipped known factor: 39766947569 skipped known factor: 89576620327 skipped known factor: 79662161495383 skipped known factor: 187529378401951 skipped known factor: 7021230942854281 skipped known factor: 126951438723183551	-	-	3,223	-	-	23.798%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-09-08	Will Edgington	Manual testing	?	?	39766947569	35.211	11	6.25845e-10	4.421	3.12278e-9
2008-09-08	Will Edgington	Manual testing	?	?	89576620327	36.382	11	1.18776e-9	4.421	5.92658e-9
2008-09-30	markr	Manual testing	?	?	79662161495383	46.179	14	1.12513e-6	4.421	5.61406e-6
2014-03-05	TJAOI	Manual testing	?	?	187529378401951	47.414	15	1.39963e-6	4.421	6.98373e-6
2014-08-19	TJAOI	Manual testing	?	?	7021230942854281	52.641	16	7.36055e-5	4.421	0.000
2015-05-04	TJAOI	Manual testing	2⁵⁶	2⁵⁷*	126951438723183551	56.817	18	0.001	4.417	0.007
2022-06-22	LordJulius	Manual testing	2¹	2⁶³	33662767	25.005	8	7.97254e-13	4.421	3.97806e-12
2022-06-22	LordJulius	Manual testing	2¹	2⁶³	126951438723183551	56.817	18	0.003	4.417	0.015
2022-06-22	LordJulius	Manual testing	2¹	2⁶³	33662767 39766947569	60.216	19	0.055	4.366	0.269
2022-06-22	LordJulius	Manual testing	2¹	2⁶³	187529378401951	47.414	15	4.74139e-6	4.421	2.36581e-5
2022-06-22	LordJulius	Manual testing	2¹	2⁶³	33662767 89576620327	61.387	19	0.071	4.311	0.347
2022-06-22	LordJulius	Manual testing	2¹	2⁶³	39766947569	35.211	11	1.44170e-9	4.421	7.19367e-9
2022-06-22	LordJulius	Manual testing	2¹	2⁶³	7021230942854281	52.641	16	0.000	4.421	0.001
2022-06-22	LordJulius	Manual testing	2¹	2⁶³	79662161495383	46.179	14	2.79601e-6	4.421	1.39512e-5
2022-06-22	LordJulius	Manual testing	2¹	2⁶³	89576620327	36.382	11	2.81948e-9	4.421	1.40684e-8
2022-06-22	LordJulius	Manual testing	2⁶³	2⁶⁴		-	-	0.350	-	-
2022-06-22	LordJulius	Manual testing	2⁶⁴	2⁶⁵		-	-	0.666	-	-
2022-06-22	LordJulius	Manual testing	2⁶⁵	2⁶⁶		-	-	1.332	-	-
2019-06-18	Seth_Tr	Manual testing	2⁶⁶	2⁶⁷		-	-	2.664	-	-
2019-12-28	Seth_Tr	Manual testing	2⁶⁷	2⁶⁸		-	-	5.328	-	-

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 = 1000000000, B2 = 241000000000 (P-1 stage 2)

B1 = 1000000000 (P-1 stage 1)

B1 = 30000000, B2 = 1000000000 (P-1 stage 2)

B1 = 30000000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

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