M17377127 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁷⁰	13.7509	64.2857%	-	-	-	-	13.7509	64.2857%
Target	2⁶⁹	6.8703	63.7681%	120000	3400000	0.2466	3.3489%	7.1170	64.9815%
Difference	+1	+6.8805	+0.5176%	-120000	-3400000	-0.2466	-3.3489%	+6.6339	-0.6958%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
17377127	139017017	9	27.051	4 2²	-	4	4	1.030e-12	3.303e-6	6.722e-6
17377127	834102097	9	29.636	24 2³ × 3	2008-09-08	8	8	4.137e-12	6.606e-6	1.344e-5
17377127	1146890383	10	30.095	33 3 × 11	2008-09-08	3	11	8.290e-12	2.837e-6	5.041e-6
17377127	1668204193	10	30.636	48 2⁴ × 3	2008-09-08	16	16	8.317e-12	1.321e-5	2.689e-5
17377127	696788038447	12	39.342	20049 3 × 41 × 163	2008-09-08	41	163	5.646e-9	3.934e-5	6.890e-5
17377127	1131746811161434961431	22	69.939	32564267130045 3 × 5 × 7³ × 29 × 9221 × 23669	2023-01-24	9221	23669	12.656	0.0083	0.0155

exponent	prime factors	composite factor	digits	bits*
17377127	139017017 834102097	115954385398384649	18	56.686
17377127	139017017 1146890383	159437279870647511	18	57.146
17377127	139017017 1668204193	231908770657752281	18	57.686
17377127	834102097 1146890383	956623673489433151	18	59.731
17377127	834102097 1668204193	1391452615605492721	19	60.271
17377127	1146890383 1668204193	1913247345831975919	19	60.731
17377127	139017017 696788038447	96865394586183252599	20	66.393
17377127	834102097 696788038447	581192364033159323359	21	68.978
17377127	1146890383 696788038447	799139500284298555201	21	69.437
17377127	1668204193 696788038447	1162384727369530608271	22	69.978
17377127	139017017 834102097 1146890383	132986969480082977672930567	27	86.781
17377127	139017017 834102097 1668204193	193435591918323246888633257	27	87.322
17377127	139017017 1146890383 1668204193	265973938800728675475213623	27	87.781
17377127	834102097 1146890383 1668204193	1595843623238135323691402143	28	90.366
17377127	139017017 834102097 696788038447	80795628751067898219106600103	29	96.028
17377127	139017017 1146890383 696788038447	111093989496393837081452855417	30	96.488
17377127	139017017 1131746811161434961431	157332065686924993777647671327	30	96.990
17377127	139017017 1668204193 696788038447	161591257405270401852029947607	30	97.028
17377127	834102097 1146890383 696788038447	666563932982665521067224356497	30	99.073
17377127	834102097 1131746811161434961431	943992388462815906858711220807	30	99.575
17377127	834102097 1668204193 696788038447	969547538619698774264526644287	30	99.613
17377127	1146890383 1131746811161434961431	1297989533711966817745189818073	31	100.034
17377127	1146890383 1668204193 696788038447	1333127865166191541850150157793	31	100.073
17377127	1668204193 1131746811161434961431	1887984775793885002555987480183	31	100.575
17377127	696788038447 1131746811161434961431	788587640567823592629273590137657	33	109.281
17377127	139017017 834102097 1146890383 1668204193	221849420101037453341908154467267431	36	117.417
17377127	139017017 834102097 1146890383 696788038447	92663729603038073447516186509957509449	38	126.123
17377127	139017017 834102097 1131746811161434961431	131231005914805882791647874381017472719	39	126.625
17377127	139017017 834102097 1668204193 696788038447	134783606658602821036810863005798831879	39	126.664
17377127	139017017 1146890383 1131746811161434961431	180442633073858564205918954607281148241	39	127.085
17377127	139017017 1146890383 1668204193 696788038447	185327459094982157398638535938462163481	39	127.123
17377127	139017017 1668204193 1131746811161434961431	262462011672279699896370754984387274111	39	127.625
17377127	834102097 1146890383 1131746811161434961431	1082655791953203716675679638917737799081	40	129.670
17377127	834102097 1146890383 1668204193 696788038447	1111964747904253618560873506380022191921	40	129.708
17377127	834102097 1668204193 1131746811161434961431	1574772060593754320408799517126386243751	40	130.210
17377127	1146890383 1668204193 1131746811161434961431	2165311582608417899639392460090285780089	40	130.670
17377127	139017017 696788038447 1131746811161434961431	109627101434807022029544801377817695509169	42	136.332
17377127	834102097 696788038447 1131746811161434961431	657762604665903929338150845120538222366729	42	138.917
17377127	1146890383 696788038447 1131746811161434961431	904423581119897537627023564804762459452631	42	139.376
17377127	1668204193 696788038447 1131746811161434961431	1315525208543220218108478097611802854595801	43	139.917
17377127	139017017 834102097 1146890383 1131746811161434961431	150507578635106984285566139849981017216385961377	48	156.720
17377127	139017017 834102097 1146890383 1668204193 696788038447	154582022262806339663788467771281153514658919657	48	156.759
17377127	139017017 834102097 1668204193 1131746811161434961431	218920114318686974454093529421950627596098910767	48	157.261
17377127	139017017 1146890383 1668204193 1131746811161434961431	301015157089771335497273715494043079825490774513	48	157.720
17377127	834102097 1146890383 1668204193 1131746811161434961431	1806090931712070099941552794767296178501515746633	49	160.305
17377127	139017017 834102097 696788038447 1131746811161434961431	91440195194804245865168514784686229107905345627393	50	165.967
17377127	139017017 1146890383 696788038447 1131746811161434961431	12573026835174567502655407456786426450668821442172 7	51	166.427
17377127	139017017 1668204193 696788038447 1131746811161434961431	18288039027998139029553000753982765683799299574561 7	51	166.967
17377127	834102097 1146890383 696788038447 1131746811161434961431	75438160558835614455983675927206776301631698926720 7	51	169.012
17377127	834102097 1668204193 696788038447 1131746811161434961431	10972823351022622990570789546965754529689437014946 97	52	169.552
17377127	1146890383 1668204193 696788038447 1131746811161434961431	15087632102722887079997759809171119612278715190817 83	52	170.012
17377127	139017017 834102097 1146890383 1668204193 1131746811161434961431	25107737375736268818876654387656272389078024907544 7453761	57	187.356
17377127	139017017 834102097 1146890383 696788038447 1131746811161434961431	10487188048856380115032928428094995183639131017434 8133061519	60	196.062
17377127	139017017 834102097 1668204193 696788038447 1131746811161434961431	15254091703271089476647702901539605958716634702273 1218258849	60	196.603
17377127	139017017 1146890383 1668204193 696788038447 1131746811161434961431	20974376085139733394891289353534582910491835584200 8051701311	60	197.062
17377127	834102097 1146890383 1668204193 696788038447 1131746811161434961431	12584625575645679523320338212131950700439503289126 90714798951	61	199.647
17377127	139017017 834102097 1146890383 1668204193 696788038447 1131746811161434961431	17494771075881702162699753536816969967661603362161 1116614947922749167	69	226.698

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	?	?	1146890383	30.095	10	5.87973e-14	20.58	1.22302e-13
2008-09-08	Will Edgington	Manual testing	?	?	1668204193	30.636	10	8.55234e-14	20.58	1.77893e-13
2008-09-08	Will Edgington	Manual testing	?	?	696788038447	39.342	12	1.43132e-9	20.58	2.97722e-9
2008-09-08	Will Edgington	Manual testing	?	?	834102097	29.636	9	2.13808e-14	20.58	4.44734e-14
2023-01-24	LordJulius	Manual testing	2⁶⁷	2⁶⁸		-	-	1.720	-	-
2023-01-24	LordJulius	Manual testing	2⁶⁸	2⁶⁹		-	-	3.440	-	-
2023-01-24	LordJulius	Manual testing	2⁶⁹	2⁷⁰	skipped known factors(?)	-	-	6.881	-	-
2023-01-24	LordJulius	Manual testing	2⁶⁹	2⁷⁰	skipped known factors(?)	-	-	6.881	-	-
2023-01-24	LordJulius	Manual testing	2⁶⁹	2⁷⁰	1131746811161434961431	69.939	22	5.786	20.16	11.79

PRP results:

date

userid

compid

cofactors

res64

PRP

2023-01-31

Naegi Makoto

5950X

139017017

834102097

1146890383

1668204193

696788038447

1131746811161434961431

A9BD72924D3337DC

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

10⁰

10¹

10²

10³

10⁴

10⁰

10¹

10²

10³

10⁴

10⁵

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