M8 803 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	unknown	400000000	400000000	0.0707	30.0154%	0.0707	30.0154%
Target	2⁴⁴	0.0003	68.1818%	500	80000	0.0000	1.2152%	0.0003	68.5685%
Difference	-44	-0.0003	-68.1818%	+399999500	+399920000	+0.0707	+28.8002%	+0.0705	-38.5531%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
8803	2834567	7	21.435	161 7 × 23	-	7	23	3.284e-11	1.392e-9	2.519e-9
8803	226906129	9	27.758	12888 2³ × 3² × 179	-	9	179	3.635e-9	3.229e-9	3.239e-9
8803	7563748873	10	32.816	429612 2² × 3 × 35801	-	4	35801	1.293e-7	3.456e-7	6.442e-7
8803	46969500677689	14	45.417	2667812148 2² × 3² × 74105893	-	9	74105893	0.0008	0.0007	0.0013
8803	33313873890927551552047	23	74.819	1892188679480151741 3³ × 13 × 59 × 251 × 457 × 1289 × 617963	-	1289	617963	470,452	6.169e-6	1.112e-5
8803	103569632893467926927132212127	30	96.387	5882632789586954840800421 69737 × 116747 × 228469 × 3162535931	-	228469	3162535931	2.242e+12	0.0305	0.0569

exponent	prime factors	composite factor	digits	bits*
8803	2834567 226906129	643180625361143	15	49.192
8803	2834567 7563748873	21439952951692991	17	54.251
8803	226906129 7563748873	1716260977500542617	19	60.574
8803	2834567 46969500677689	133138196627454875663	21	66.851
8803	226906129 46969500677689	10657667579837287655881	23	73.174
8803	7563748873 46969500677689	355265507816242909994497	24	78.233
8803	2834567 226906129 7563748873	4864856730210780584241839	25	82.009
8803	2834567 226906129 46969500677689	30209872818776640958867638527	29	94.609
8803	2834567 33313873890927551552047	94430407573384837020231208649	29	96.253
8803	2834567 7563748873 46969500677689	1007023884694164216654371377799	31	99.668
8803	226906129 33313873890927551552047	7559122166584538942122926796063	31	102.576
8803	226906129 7563748873 46969500677689	80611921145802922030546725572113	32	105.991
8803	7563748873 33313873890927551552047	251977776097767392976444897093031	33	107.635
8803	2834567 103569632893467926927132212127	293575063601938701226060373132194009	36	117.821
8803	46969500677689 33313873890927551552047	1564736022296367515892673050255179383	37	120.235
8803	2834567 226906129 33313873890927551552047	21426838242369036795556558239535909721	38	124.011
8803	226906129 103569632893467926927132212127	23500584481807876684690435324944426383	38	124.144
8803	2834567 226906129 7563748873 46969500677689	228499891486495151291360740264767630071	39	127.425
8803	2834567 7563748873 33313873890927551552047	714247888860120225807062482618301602577	39	129.070
8803	7563748873 103569632893467926927132212127	783374694074991761356742622597593182871	39	129.203
8803	226906129 7563748873 33313873890927551552047	57175301768373124682706899781183017086999	41	135.393
8803	2834567 46969500677689 33313873890927551552047	4435349092512547580421346570042673058132161	43	141.670
8803	46969500677689 103569632893467926927132212127	4864613942377742739745322368820428204134503	43	141.803
8803	2834567 226906129 103569632893467926927132212127	66613981252844707590492913187721747859181161	44	145.579
8803	226906129 46969500677689 33313873890927551552047	355048193726126443792552421296025215997138407	45	147.993
8803	2834567 7563748873 103569632893467926927132212127	2220528056460067172013697865508591915591101857	46	150.638
8803	7563748873 46969500677689 33313873890927551552047	11835270325186652670327015372825085420579085359	47	153.052
8803	2834567 226906129 7563748873 33313873890927551552047	162067223607672102912486448792048601195243494433	48	156.827
8803	226906129 7563748873 103569632893467926927132212127	177752519389115616276350256542927793842047716359	48	156.960
8803	2834567 46969500677689 103569632893467926927132212127	13789074148803851104571679191020214713308925765201	50	163.238
8803	2834567 226906129 46969500677689 33313873890927551552047	10064078933456850554017239391758103084333606229147 69	52	169.428
8803	226906129 46969500677689 103569632893467926927132212127	11038107187443626608334655445661536599225818710688 87	52	169.561
8803	33313873890927551552047 103569632893467926927132212127	34503056891426524961454919331850837308631672850739 69	52	171.205
8803	2834567 7563748873 46969500677689 33313873890927551552047	33547866699853354499770836984302683905354596248804 553	53	174.486
8803	7563748873 46969500677689 103569632893467926927132212127	36794718224239738588032614374187204168399761006665 119	53	174.620
8803	2834567 226906129 7563748873 103569632893467926927132212127	50385142562724728508160531763811720780747166921658 1553	54	178.395
8803	226906129 7563748873 46969500677689 33313873890927551552047	26854953751566745598914162223712319268779371971712 65311	55	180.809
8803	2834567 226906129 46969500677689 103569632893467926927132212127	31288254375990518344307339282642484813457731265301 21816929	58	190.996
8803	2834567 33313873890927551552047 103569632893467926927132212127	97801226463560210580416386325726432357416155017502 65086423	58	192.640
8803	2834567 7563748873 46969500677689 103569632893467926927132212127	10429709405272856309026384362879670075800840535737 9726368473	60	196.054
8803	226906129 33313873890927551552047 103569632893467926927132212127	78289550779003660669256099535975398991103911733557 3784456001	60	198.963
8803	2834567 226906129 7563748873 46969500677689 33313873890927551552047	76122165690717295372077320071981557692746138071741 61998805337	61	202.244
8803	226906129 7563748873 46969500677689 103569632893467926927132212127	83489470799079930509824062533965760191842538945475 25351614351	61	202.377
8803	7563748873 33313873890927551552047 103569632893467926927132212127	26097245767758226153951101453659268369726916869688 702745386937	62	204.022
8803	46969500677689 33313873890927551552047 103569632893467926927132212127	16205913540442002858710071081607907300504374428121 0761199992977641	66	216.622
8803	2834567 226906129 33313873890927551552047 103569632893467926927132212127	22191697708298806941227125429339117879201644177085 45375484093386567	67	220.397
8803	2834567 226906129 7563748873 46969500677689 103569632893467926927132212127	23665649877453560138544046346471572296971053009105 895293349436071017	68	223.812
8803	2834567 7563748873 33313873890927551552047 103569632893467926927132212127	73974391644177131834526711794194591364971717570562 897074883213851279	68	225.456
8803	226906129 7563748873 33313873890927551552047 103569632893467926927132212127	59216250147236521044996024861360974707468754940058 60974987422481836873	70	231.779
8803	2834567 46969500677689 33313873890927551552047 103569632893467926927132212127	45936747726590066717205230055580080973068783109595 8743742380494652916447	72	238.057
8803	226906129 46969500677689 33313873890927551552047 103569632893467926927132212127	36772211083703798176768361624424933413482873490515 421257033801383702861689	74	244.379
8803	7563748873 46969500677689 33313873890927551552047 103569632893467926927132212127	12257746027745363904443107837726169987207843441227 08090101919012240027948593	76	249.438
8803	2834567 226906129 7563748873 33313873890927551552047 103569632893467926927132212127	16785242853110178374895124720319339399362558628417 711326287173182072899588991	77	253.214
8803	2834567 226906129 46969500677689 33313873890927551552047 103569632893467926927132212127	10423329605490102408652776450466131023105590826138 9826086286531286798469549203663	81	265.814
8803	2834567 7563748873 46969500677689 33313873890927551552047 103569632893467926927132212127	34745402384628092926525586854259956482129775159668 72302835926268768179302159414231	82	270.873
8803	226906129 7563748873 46969500677689 33313873890927551552047 103569632893467926927132212127	27813577014208271212535115001880053937933112736868 7593722009658538888360667048626497	84	277.196
8803	2834567 226906129 7563748873 46969500677689 33313873890927551552047 103569632893467926927132212127	78839447556433296706102023325534138850685249571207 8686473815751775601163830914024063721799	90	298.631

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2021-08-27	Seth_Tr	Manual testing	100000000	100000000		-	skipped known factor: 2834567 skipped known factor: 226906129 skipped known factor: 7563748873 skipped known factor: 46969500677689 skipped known factor: 33313873890927551552047	-	-	0.018	-	-	26.329%
2021-08-27	Seth_Tr	Manual testing	400000000	400000000		-	skipped known factor: 2834567 skipped known factor: 226906129 skipped known factor: 7563748873 skipped known factor: 46969500677689 skipped known factor: 33313873890927551552047	-	-	0.071	-	-	30.015%

ECM factoring results:

Total ECM effort:	3,118.177 GHz-days
Estimated T-Level:	46.509

Digits	B1	Complete	FacMiss
20	11000	5,586.200	0.000%
25	50000	1,571.357	0.000%
30	250000	424.126	0.000%
35	1000000	87.755	0.000%
40	3000000	15.234	0.000%
45	11000000	2.288	10.144%
50	44000000	0.302	73.954%
55	110000000	0.036	96.491%
60	260000000	0.004	99.627%

ECM Summary

B1	B2	curves	GHz-days
3000000	300000000	2,681	20.46
3000000	600000000	1,000	10.12
11000000	36578884662	9,600	3,088

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-10-13	Carsten Kossendey	durandal	3000000	300000000						1	0.008
2011-04-27	James Hintz	17_051310	3000000	300000000						11	0.084
2013-04-18	Axon		3000000	300000000						30	0.229
2017-01-26	Ismo Laitela	6600K	3000000	600000000						1000	10.12
2018-06-16	James Hintz	3_1_2018	3000000	300000000						2639	20.14
2021-05-23	Bruno Victal	Manual testing	11000000	36578884662						2400	771.9
2021-05-23	Bruno Victal	Manual testing	11000000	36578884662						2400	771.9
2021-05-23	Bruno Victal	Manual testing	11000000	36578884662						2400	771.9
2021-05-23	Bruno Victal	Manual testing	11000000	36578884662						2400	771.9

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-21

Oliver Kruse

Oliver-PC

BF831896FE0268__

2017-09-21

Oliver Kruse

Manual testing

BF831896FE0268__

2017-10-02

kkmrkkblmbrbk

Manual testing

2834567

226906129

7563748873

46969500677689

33313873890927551552047

103569632893467926927132212127

BF831896FE0268__

2017-12-07

ATH

Manual testing

2834567

226906129

7563748873

46969500677689

33313873890927551552047

103569632893467926927132212127

BF831896FE0268__

2020-04-17

Oliver Kruse

Manual testing

2834567

226906129

7563748873

46969500677689

33313873890927551552047

103569632893467926927132212127

353B7904922BFE__

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 = 400000000 (P-1 stage 1)

B1 = 100000000 (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

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