M4 284 709 757 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁷⁹	28.5744	59.4937%	-	-	-	-	28.5744	59.4937%
Target	2⁹²	234,082.1693	65.2174%	22000000	9600000000	213,431.9719	4.3027%	447,514.1412	66.7140%
Difference	-13	-234,053.5949	-5.7237%	-22000000	-9600000000	-213,431.9719	-4.3027%	-447,485.5668	-7.2203%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
4284709757	102833034169	12	36.582	12 2² × 3	2012-08-20	4	4	2.198e-12	0.0016	0.0032
4284709757	231374326879	12	37.751	27 3³	2012-08-20	27	27	4.548e-12	0.0106	0.0216
4284709757	616998205009	12	39.166	72 2³ × 3²	2019-07-14	9	9	2.002e-11	0.0035	0.0072
4284709757	11028842914519	14	43.326	1287 3² × 11 × 13	2019-07-14	11	13	2.911e-10	0.0044	0.0088
4284709757	1549856643882527	16	50.461	180859 7² × 3691	2019-07-14	49	3691	5.659e-8	0.0971	0.1476
4284709757	4414065144563831	16	51.971	515095 5 × 7 × 14717	2019-07-14	7	14717	9.918e-8	0.3173	0.5878

exponent	prime factors	composite factor	digits	bits*
4284709757	102833034169 231374326879	23792924061777582128551	23	74.333
4284709757	102833034169 616998205009	63447797497902163952521	23	75.748
4284709757	231374326879 616998205009	142757544369508621136911	24	76.918
4284709757	102833034169 11028842914519	1134129380273265873199711	25	79.908
4284709757	231374326879 11028842914519	2551791105601062161056201	25	81.078
4284709757	616998205009 11028842914519	6804776281584451024625671	25	82.493
4284709757	102833034169 1549856643882527	159376461217423563813065063	27	87.043
4284709757	231374326879 1549856643882527	358597037737265697774543233	27	88.212
4284709757	102833034169 4414065144563831	453911711835124357824541439	27	88.553
4284709757	616998205009 1549856643882527	956258767296792099658977743	27	89.628
4284709757	231374326879 4414065144563831	1021301351623512223674513449	28	89.722
4284709757	616998205009 4414065144563831	2723470270988675821224429479	28	91.138
4284709757	11028842914519 1549856643882527	17093125465404004950538709513	29	93.787
4284709757	11028842914519 4414065144563831	48682031093848092955072162289	29	95.297
4284709757	1549856643882527 4414065144563831	6841168190832540482715817080937	31	102.432
4284709757	102833034169 231374326879 616998205009	14680191438032213599112044490111959	35	113.499
4284709757	102833034169 231374326879 11028842914519	262408421954424312490585298562331969	36	117.659
4284709757	102833034169 616998205009 11028842914519	699755791876574617674438686377552399	36	119.074
4284709757	231374326879 616998205009 11028842914519	1574450531713786919415506480568710809	37	120.244
4284709757	102833034169 231374326879 1549856643882527	36875621434538425943881231537456728377	38	124.794
4284709757	102833034169 616998205009 1549856643882527	98334990491836841748320911493529500567	38	126.209
4284709757	102833034169 231374326879 4414065144563831	105023516788346516120910412235467038881	39	126.304
4284709757	231374326879 616998205009 1549856643882527	221253728605437570474601060735867654097	39	127.379
4284709757	102833034169 616998205009 4414065144563831	280062711434834190136035892031537867951	39	127.719
4284709757	231374326879 616998205009 4414065144563831	630141100724972589967344912294429666041	39	128.889
4284709757	102833034169 11028842914519 1549856643882527	1757737955038894068468192270307494349697	40	130.369
4284709757	231374326879 11028842914519 1549856643882527	3954910398816145247221677602003688899927	40	131.539
4284709757	102833034169 11028842914519 4414065144563831	5006120966890001388544423846525450252841	40	131.879
4284709757	616998205009 11028842914519 1549856643882527	10546427730147898783482133597092272550617	41	132.954
4284709757	231374326879 11028842914519 4414065144563831	11263772175441650585357643538488422866031	41	133.049
4284709757	616998205009 11028842914519 4414065144563831	30036725801096598175797302614377340705601	41	134.464
4284709757	102833034169 1549856643882527 4414065144563831	703498082323758548016191371800748359536353	42	139.014
4284709757	231374326879 1549856643882527 4414065144563831	1582870685219905272797889910948289037605623	43	140.184
4284709757	616998205009 1549856643882527 4414065144563831	4220988493908345447142985528390911071813433	43	141.599
4284709757	11028842914519 1549856643882527 4414065144563831	75450169328496230154460567199341705995424303	44	145.758
4284709757	102833034169 231374326879 616998205009 11028842914519	161905525325124068412640027424763173174176632721	48	156.826
4284709757	102833034169 231374326879 616998205009 1549856643882527	22752192233701614403810996425295122757618673840393	50	163.960
4284709757	102833034169 231374326879 616998205009 4414065144563831	64799321342142377015700405960181394036361411954929	50	165.470
4284709757	102833034169 231374326879 11028842914519 1549856643882527	40669543617679408135641372516434732351023921260566 3	51	168.120
4284709757	102833034169 616998205009 11028842914519 1549856643882527	10845211631351879870253717769908125422434587430322 73	52	169.535
4284709757	102833034169 231374326879 11028842914519 4414065144563831	11582878689890227173098414090787020551934867324132 39	52	169.630
4284709757	231374326879 616998205009 11028842914519 1549856643882527	24401726170409899361444016247499755530514168311343 43	52	170.705
4284709757	102833034169 616998205009 11028842914519 4414065144563831	30887676506290503778814270885622981074384222026805 69	52	171.045
4284709757	231374326879 616998205009 11028842914519 4414065144563831	69497272138778174429818402015454241134684782801492 79	52	172.215
4284709757	102833034169 231374326879 1549856643882527 4414065144563831	16277139525832696219656867944364577379618715590553 2287	54	176.765
4284709757	102833034169 616998205009 1549856643882527 4414065144563831	43405705402103273572031021426969507783683116848219 2177	54	178.180
4284709757	231374326879 616998205009 1549856643882527 4414065144563831	97662837154204741975331255029788519322238149024516 5607	54	179.350
4284709757	102833034169 11028842914519 1549856643882527 4414065144563831	77587698406140886208613316545730262869342195080520 09207	55	182.340
4284709757	231374326879 11028842914519 1549856643882527 4414065144563831	17457232141287386685277375935096233436602816760622 740337	56	183.510
4284709757	616998205009 11028842914519 1549856643882527 4414065144563831	46552619043307280878525508776665854885608608518334 933727	56	184.925
4284709757	102833034169 231374326879 616998205009 11028842914519 1549856643882527	25093035410643426977712238039597335212885101920989 9596748365967	63	207.287
4284709757	102833034169 231374326879 616998205009 11028842914519 4414065144563831	71466153604992677210529578269201844446590056008702 5161827714151	63	208.797
4284709757	102833034169 231374326879 616998205009 1549856643882527 4414065144563831	10042965870119818953571067503571895920307632300193 4255051694625583	66	215.932
4284709757	102833034169 231374326879 11028842914519 1549856643882527 4414065144563831	17951801492811708706558440487764092992893777512267 64150793135574953	67	220.091
4284709757	102833034169 616998205009 11028842914519 1549856643882527 4414065144563831	47871470647368577053478939823689892453473856261264 80702934941517863	67	221.506
4284709757	231374326879 616998205009 11028842914519 1549856643882527 4414065144563831	10771080895599739063228627359232068916060785340177 570820955699748033	68	222.676
4284709757	102833034169 231374326879 616998205009 11028842914519 1549856643882527 4414065144563831	11076229297742710888364734886908795804458415317674 54428758754853424782179539577	79	259.258

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2019-07-14			2³⁹	2⁴⁰	616998205009	39.166	12	2.93019e-12	2,358,240	7.308
2019-07-14			2⁴³	2⁴⁴	11028842914519	43.326	14	1.75811e-11	251,003	3.73386e-11
2019-07-14			2⁵⁰	2⁵¹	1549856643882527	50.461	16	2.15870e-8	251,003	4.58462e-8
2019-07-14			2⁵¹	2⁵²	4414065144563831	51.971	16	2.91716e-8	251,003	6.19544e-8
TF systematically completed to 64 but no per-exponent detailed record exists
2022-01-30	ramgeis	r4mg31s	2⁷⁴	2⁷⁵	102833034169	36.582	12	0.893	2,358,240	3.654
2022-01-30	ramgeis	r4mg31s	2⁷⁴	2⁷⁵	231374326879	37.751	12	0.893	2,358,240	7.308
2022-02-03	ramgeis	r4mg31s	2⁷⁵	2⁷⁶	102833034169	36.582	12	1.786	2,358,240	3.654
2022-02-03	ramgeis	r4mg31s	2⁷⁵	2⁷⁶	616998205009	39.166	12	1.786	2,358,240	7.308
2022-02-06	ramgeis	r4mg31s	2⁷⁶	2⁷⁷	231374326879	37.751	12	3.572	2,358,240	7.308
2022-02-06	ramgeis	r4mg31s	2⁷⁶	2⁷⁷	616998205009	39.166	12	3.572	2,358,240	7.308
2022-04-07	ramgeis	r4mg31s	2⁷⁷	2⁷⁸		-	-	7.144	-	-
2022-04-27	ramgeis	r4mg31s	2⁷⁸	2⁷⁹		-	-	14.29	-	-

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

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