M24930791 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	1.1919	62.6866%	-	-	-	-	1.1919	62.6866%	0.0000%
PrimeNet	2⁶⁶	0.5924	62.1212%	110000	4000000	0.4000	4.9757%	0.9924	64.0059%	1.8847%
GPU72	2⁷⁰	9.5846	64.2857%	180000	5000000	0.5500	3.6589%	10.1345	65.5925%	1.3067%
Difference	-3	-8.3927	-1.5991%	-180000	-5000000	-0.5500	-3.6589%	-8.9427	-2.9059%	-2.9059%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

1.1919

62.6866%

1.1919

62.6866%

0.0000%

PrimeNet

2⁶⁶

0.5924

62.1212%

110000

4000000

0.4000

4.9757%

0.9924

64.0059%

1.8847%

GPU72

2⁷⁰

9.5846

64.2857%

180000

5000000

0.5500

3.6589%

10.1345

65.5925%

1.3067%

Difference

-3

-8.3927

-1.5991%

-180000

-5000000

-0.5500

-3.6589%

-8.9427

-2.9059%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
24930791	2443217519	10	31.186	49 7²	-	49	49	1.160e-11	6.089e-5	0.0001
24930791	15756259913	11	33.875	316 2² × 79	2008-09-08	4	79	4.904e-11	1.005e-5	1.012e-5
24930791	149036268599	12	37.117	2989 7² × 61	2008-09-08	49	61	1.210e-9	6.170e-5	0.0001
24930791	4890673270471	13	42.153	98085 3 × 5 × 13 × 503	2008-09-08	13	503	2.892e-8	4.933e-5	6.342e-5

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

24930791

2443217519

31.186

49
7²

1.160e-11

6.089e-5

0.0001

24930791

15756259913

33.875

316
2² × 79

2008-09-08

4.904e-11

1.005e-5

1.012e-5

24930791

149036268599

37.117

2989
7² × 61

2008-09-08

1.210e-9

6.170e-5

0.0001

24930791

4890673270471

42.153

98085
3 × 5 × 13 × 503

2008-09-08

503

2.892e-8

4.933e-5

6.342e-5

exponent	prime factors	composite factor	digits	bits*
24930791	2443217519 15756259913	38495970253359015847	20	65.061
24930791	2443217519 149036268599	364128022407466385881	21	68.303
24930791	15756259913 149036268599	2348254184509524371887	22	70.992
24930791	2443217519 4890673270471	11948978614119772581449	23	73.339
24930791	15756259913 4890673270471	77058719199102823929023	23	76.028
24930791	149036268599 4890673270471	728887695167865731240129	24	79.270
24930791	2443217519 15756259913 149036268599	5737295762658728367751789488353	31	102.178
24930791	2443217519 15756259913 4890673270471	188271212738949668505761406153937	33	107.215
24930791	2443217519 149036268599 4890673270471	1780831186217661200405628768619951	34	110.456
24930791	15756259913 149036268599 4890673270471	11484543972452406626905276339648777	35	113.145
24930791	2443217519 15756259913 149036268599 4890673270471	28059239031221573264566667906566086273324263	44	144.331

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-09-08T20:37:00	Will Edgington	Manual testing	?	?	149036268599	37.117	12	4.75140e-10	44.12	9.81247e-10
2008-09-08T20:37:00	Will Edgington	Manual testing	?	?	15756259913	33.875	11	3.13952e-12	44.12	6.48365e-12
2008-09-08T20:37:00	Will Edgington	Manual testing	?	?	4890673270471	42.153	13	5.41745e-9	44.12	1.11880e-8

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

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