M24427441 Mersenne number exponent details

Residue

Status

L-L

-unknown-

-unknown-

PRP

-unknown-

-unknown-

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁶⁷	1.2164	62.6866%	-	-	-	-	1.2164	62.6866%	0.0000%
PrimeNet	2⁶⁶	0.6046	62.1212%	110000	4000000	0.3786	4.9621%	0.9832	64.0008%	1.8796%
GPU72	2⁷⁰	9.7821	64.2857%	170000	5000000	0.5094	3.6160%	10.2915	65.5772%	1.2914%
Difference	-3	-8.5656	-1.5991%	-170000	-5000000	-0.5094	-3.6160%	-9.0751	-2.8906%	-2.8906%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

1.2164

62.6866%

1.2164

62.6866%

0.0000%

PrimeNet

2⁶⁶

0.6046

62.1212%

110000

4000000

0.3786

4.9621%

0.9832

64.0008%

1.8796%

GPU72

2⁷⁰

9.7821

64.2857%

170000

5000000

0.5094

3.6160%

10.2915

65.5772%

1.2914%

Difference

-3

-8.5656

-1.5991%

-170000

-5000000

-0.5094

-3.6160%

-9.0751

-2.8906%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
24427441	146564647	9	27.127	3 3	-	1	3	7.324e-13	1.304e-6	2.394e-6
24427441	22228971311	11	34.372	455 5 × 7 × 13	2008-09-08	7	13	1.029e-10	8.617e-6	1.676e-5
24427441	1886531268431	13	40.779	38615 5 × 7723	2008-09-08	5	7723	8.144e-9	0.0005	0.0009
24427441	27661992783233881	17	54.619	566207340 2² × 3 × 5 × 269 × 35081	2015-08-06	269	35081	0.0002	0.0025	0.0042
24427441	30102520920320556671	20	64.707	616161981935 5 × 73 × 149 × 11329631	2017-12-26	149	11329631	0.2005	0.7261	1.3559

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

24427441

146564647

27.127

3
3

7.324e-13

1.304e-6

2.394e-6

24427441

22228971311

34.372

455
5 × 7 × 13

2008-09-08

1.029e-10

8.617e-6

1.676e-5

24427441

1886531268431

40.779

38615
5 × 7723

2008-09-08

7723

8.144e-9

0.0005

0.0009

24427441

27661992783233881

54.619

566207340
2² × 3 × 5 × 269 × 35081

2015-08-06

269

35081

0.0002

0.0025

0.0042

24427441

30102520920320556671

64.707

616161981935
5 × 73 × 149 × 11329631

2017-12-26

149

11329631

0.2005

0.7261

1.3559

exponent	prime factors	composite factor	digits	bits*
24427441	146564647 22228971311	3257981333369842217	19	61.499
24427441	146564647 1886531268431	276498789412051758857	21	67.906
24427441	22228971311 1886531268431	41935649443257138983041	23	75.151
24427441	146564647 27661992783233881	4054270207591221287205007	25	81.746
24427441	22228971311 27661992783233881	614897643983594982552187991	27	88.990
24427441	146564647 30102520920320556671	4411965352496897515328610137	28	91.833
24427441	1886531268431 27661992783233881	52185214332683381553064910711	29	95.398
24427441	22228971311 30102520920320556671	669148073926582971163208665681	30	99.078
24427441	146564647 22228971311 1886531268431	6146283657366729105279343151527	31	102.278
24427441	1886531268431 30102520920320556671	56789346974783053259665648753201	32	105.485
24427441	146564647 22228971311 27661992783233881	90122256131587272408732591978554177	35	116.117
24427441	27661992783233881 30102520920320556671	832695716455054164375109997507770151	36	119.325
24427441	146564647 1886531268431 27661992783233881	7648507517289080380091270406444234017	37	122.525
24427441	146564647 22228971311 30102520920320556671	98073451245779537084746857472876779607	38	126.205
24427441	22228971311 1886531268431 27661992783233881	1160023632259604898189546524315595612121	40	129.769
24427441	146564647 1886531268431 30102520920320556671	8323310592719596102585095147538894685047	40	132.612
24427441	22228971311 1886531268431 30102520920320556671	1262368764672877131358092739587107948416511	43	139.857
24427441	146564647 27661992783233881 30102520920320556671	122043753740647104967517972370897211938451697	45	146.452
24427441	22228971311 27661992783233881 30102520920320556671	18509969191871989640845398377069504186161137961	47	153.697
24427441	146564647 22228971311 1886531268431 27661992783233881	170018454173786804262621825426392187485263286287	48	156.896
24427441	1886531268431 27661992783233881 30102520920320556671	1570906506181013651519385036083482871744430403081	49	160.104
24427441	146564647 22228971311 1886531268431 30102520920320556671	18501863237810630723187149297084740221056014368661 7	51	166.984
24427441	146564647 22228971311 27661992783233881 30102520920320556671	27129071005875934308981625947095647755097294703722 64767	55	180.824
24427441	146564647 1886531268431 27661992783233881 30102520920320556671	23023935754842358393711968147065792962776871624363 4477407	57	187.231
24427441	22228971311 1886531268431 27661992783233881 30102520920320556671	34919635658160996632523761527462440556966835954123 715009191	59	194.476
24427441	146564647 22228971311 1886531268431 27661992783233881 30102520920320556671	51179840736069791406140338273847134059903277023230 50484650680670577	67	221.603

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-09-08T20:30:00	Will Edgington	Manual testing	?	?	1886531268431	40.779	13	2.14804e-9	40.99	4.44372e-9
2008-09-08T20:30:00	Will Edgington	Manual testing	?	?	22228971311	34.372	11	9.22731e-12	40.99	1.90888e-11
2014-12-04T12:10:00	TJAOI	Manual testing	2⁵⁴	2⁵⁵*	27661992783233881	54.619	17	6.88983e-5	40.99	0.000
2022-06-24T04:22:48	LordJulius	Manual testing	2¹	2⁶⁴	146564647	27.127	9	7.32449e-13	40.99	1.51524e-12
2022-06-24T04:22:49	LordJulius	Manual testing	2¹	2⁶⁴	1886531268431	40.779	13	8.14437e-9	40.99	1.68485e-8
2022-06-24T04:22:49	LordJulius	Manual testing	2¹	2⁶⁴	22228971311	34.372	11	1.02920e-10	40.99	2.12914e-10
2022-06-24T04:22:49	LordJulius	Manual testing	2¹	2⁶⁴	27661992783233881	54.619	17	0.000	40.99	0.000
2022-06-24T04:22:49	LordJulius	Manual testing	2¹	2⁶⁴	146564647 22228971311	61.499	19	0.013	40.96	0.027
2017-12-26T12:40:23	TJAOI	Manual testing	2⁶⁴	2⁶⁵*	30102520920320556671	64.707	20	0.055	40.69	0.113

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