M28 461 803 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁷¹	16.7972	64.7887%	-	-	-	-	16.7972	64.7887%
Target	2⁷⁰	8.3955	64.2857%	200000	6500000	0.7833	3.9921%	9.1788	65.7114%
Difference	+1	+8.4017	+0.5030%	-200000	-6500000	-0.7833	-3.9921%	+7.6184	-0.9227%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
28461803	910777697	9	29.763	16 2⁴	-	16	16	2.522e-12	2.307e-5	4.695e-5
28461803	39163440929	11	35.189	688 2⁴ × 43	2008-09-09	16	43	1.848e-10	2.519e-5	4.695e-5
28461803	1808492708164162513	19	60.649	31770522552 2³ × 3 × 709 × 1259 × 1483	2016-02-24	1259	1483	0.0080	0.0018	0.0037
28461803	210855412288955164607	21	67.515	3704182273501 967 × 3830591803	2022-09-29	967	3830591803	1.9580	300.94	562.06
28461803	18258567958443319434559	23	73.951	320755645003293 3² × 223 × 165667 × 964697	2023-02-03	165667	964697	106.97	0.3017	0.4862

exponent	prime factors	composite factor	digits	bits*
28461803	910777697 39163440929	35669188535910160513	20	64.951
28461803	910777697 1808492708164162513	1647134823783049031523872561	28	90.412
28461803	39163440929 1808492708164162513	70826797346714414612631694577	29	95.838
28461803	910777697 210855412288955164607	192042406804520083357019370079	30	97.277
28461803	39163440929 210855412288955164607	8257823483738436268215715999903	31	102.704
28461803	910777697 18258567958443319434559	16629496475708998179642988230623	32	103.714
28461803	39163440929 18258567958443319434559	715068347688627067470029077665311	33	109.140
28461803	910777697 39163440929 1808492708164162513	64507467373326265057595841896047449169	38	125.601
28461803	1808492708164162513 210855412288955164607	381330475601523558491705147722213777391	39	128.164
28461803	910777697 39163440929 210855412288955164607	7521041454751809934746784117597706563391	40	132.466
28461803	1808492708164162513 18258567958443319434559	33020487014364562628553969582210944486767	41	134.600
28461803	910777697 39163440929 18258567958443319434559	651268302905443033602216699879046089368767	42	138.902
28461803	210855412288955164607 18258567958443319434559	3849917874683472507941630286000478009453313	43	141.466
28461803	910777697 1808492708164162513 210855412288955164607	347307292364270316294320008045482659913845648527	48	157.927
28461803	39163440929 1808492708164162513 210855412288955164607	14934213555647743625391770889304138171962384236239	50	163.353
28461803	910777697 1808492708164162513 18258567958443319434559	30074323116761362269246650856294136187852495235599	50	164.363
28461803	39163440929 1808492708164162513 18258567958443319434559	12931958926338781229742943564213811336247976266865 43	52	169.789
28461803	910777697 210855412288955164607 18258567958443319434559	35064193355433476947458922423089667023490326431601 61	52	171.228
28461803	39163440929 210855412288955164607 18258567958443319434559	15077603126666740013736752108573709618898832725884 7777	54	176.655
28461803	910777697 39163440929 1808492708164162513 210855412288955164607	13601748628719033282380747813312064896829690285310 860361583	59	193.116
28461803	910777697 39163440929 1808492708164162513 18258567958443319434559	11778139768629427810212106041415626704420424445246 35374431471	61	199.552
28461803	1808492708164162513 210855412288955164607 18258567958443319434559	69625484033959300318825683883339294496774188161746 97618255569	61	202.115
28461803	910777697 39163440929 210855412288955164607 18258567958443319434559	13732344651985532756208907449706657201447426546069 5701209629569	63	206.417
28461803	910777697 1808492708164162513 210855412288955164607 18258567958443319434559	63413338000959721336111422111717779311376769023000 57446426192291244593	70	231.878
28461803	39163440929 1808492708164162513 210855412288955164607 18258567958443319434559	27267735311169976880265005374131857872889506991245 0879916988968556783601	72	237.304
28461803	910777697 39163440929 1808492708164162513 210855412288955164607 18258567958443319434559	24834845169112969918551006344344436887801623912951 6004036418763956552781846146897	81	267.067

date	userid	compid	b1	b2	start	factor	Smooth	digits	bits*	ghz-days
2023-02-03	masser	Manual testing	200000	4400000	2	7	18258567958443319434559	P-1	23	73.951	0.762

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-09-09	Will Edgington	Manual testing	?	?	39163440929	35.189	11	2.39496e-11	65.79	5.56659e-11
2016-02-24	TJAOI	Manual testing	2⁶⁰	2⁶¹*	1808492708164162513	60.649	19	0.003	65.78	0.006
2022-10-01	LordJulius	Manual testing	2¹	2⁶⁵	1808492708164162513	60.649	19	0.008	65.78	0.019
2022-10-01	LordJulius	Manual testing	2¹	2⁶⁵	910777697 39163440929	64.951	20	0.178	65.53	0.413
2022-10-01	LordJulius	Manual testing	2¹	2⁶⁵	39163440929	35.189	11	1.84774e-10	65.79	4.29469e-10
2022-10-01	LordJulius	Manual testing	2¹	2⁶⁵	910777697	29.763	9	2.52158e-12	65.79	5.86090e-12
2022-10-01	LordJulius	Manual testing	2⁶⁵	2⁶⁶		-	-	0.263	-	-
2022-10-01	LordJulius	Manual testing	2⁶⁶	2⁶⁷		-	-	0.525	-	-
2022-09-29	TJAOI	Manual testing	2⁶⁷	2⁶⁸*	210855412288955164607	67.515	21	0.914	63.69	2.057
2022-10-01	LordJulius	Manual testing	2⁶⁷	2⁶⁸	210855412288955164607	67.515	21	0.914	63.69	2.057
2022-10-01	LordJulius	Manual testing	2⁶⁸	2⁶⁹		-	-	2.100	-	-
2023-01-31	masser	Manual testing	2⁶⁹	2⁷¹		-	-	12.60	-	-

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 = 200000, B2 = 4400000 (P-1 stage 2)

B1 = 200000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

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