M73075559 Mersenne number exponent details

≡

M73075559

<<<

>>>

is 2 ^73075559 - 1

has 21997936 decimal digits

takes 202.032 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

-unknown- primality tests remaining

	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	2⁶⁸	0.8157	60.2941%	-	-	-	-	0.8157	60.2941%	0.0000%
PrimeNet	2⁷⁰	3.2699	61.4286%	320000	14000000	4.2707	5.5400%	7.5406	63.5654%	2.1368%
GPU72	2⁷⁴	52.3549	63.5135%	500000	17000000	5.6082	4.1251%	57.9631	65.0186%	1.5051%
Difference	-6	-51.5393	-3.2194%	-500000	-17000000	-5.6082	-4.1251%	-57.1475	-4.7245%	-4.7245%

Known prime factors (3 factors, 168.5 bits, 0.00023052% known):

Remaining cofactor is PRP status unknown

						P-1		GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
73075559	155650940671	12	37.180	1065 3 × 5 × 71	-	5	71	3.083e-10	3.446e-5	4.079e-5
73075559	16377308368129898641	20	63.828	112057359480 2³ × 3² × 5 × 11² × 2572483	2017-05-18	121	2572483	0.0410	0.5623	1.0494
73075559	200976036723427822583	21	67.446	1375124867149 11 × 61 × 719 × 2850301	2022-08-05	719	2850301	0.4641	0.6253	1.1627

4 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
73075559	155650940671 16377308368129898641	2549143453158458680591534528111	31	101.008
73075559	155650940671 200976036723427822583	31282109168330981248617246973193	32	104.625
73075559	16377308368129898641 200976036723427822583	3291446528024176294476524641559120809703	40	131.274
73075559	155650940671 16377308368129898641 200976036723427822583	51231674825526000326521016198558825409000313413071 3	51	168.453

P-1 results:
No P-1 results for M73075559

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2017-05-18T16:26:23	TJAOI	Manual testing	2⁶³	2⁶⁴*	16377308368129898641	63.828	20	0.019	414.8	0.039
2022-08-10T19:29:28	LordJulius	Manual testing	2¹	2⁶⁷	155650940671	37.180	12	3.08312e-10	414.8	6.33083e-10
2022-08-10T19:29:28	LordJulius	Manual testing	2¹	2⁶⁷	16377308368129898641	63.828	20	0.041	414.8	0.084
2022-08-05T09:34:15	TJAOI	Manual testing	2⁶⁷	2⁶⁸*	200976036723427822583	67.446	21	0.057	414.0	0.118
2022-08-10T19:29:28	LordJulius	Manual testing	2⁶⁷	2⁶⁸	200976036723427822583	67.446	21	0.057	414.0	0.118

ECM factoring results:
No ECM results for M73075559

Lucas-Lehmer results:
No L-L results for M73075559

PRP results:
No PRP results for M73075559

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

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

TF factor-bounds graph:

2⁶⁸

2⁶⁷

2⁶⁴

2³⁰

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-08-10T19:29:28+00:00

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