192 581 Exponent Status

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GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
71100438046237782899693287	26	85.9	2009-06-03 03:51:50
90271871594650196479131577	26	86.2	2019-01-04 14:23:26

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	197 / 1566

Estimated T-Level: 30.6 ⓘ

TF below 2^97 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Amdahl 6 - 1989	03F9563A	0
Verified (Factored)		Martin Eibl	C262CA7883F9563A	0
Verified (Factored)		Brian J. Beesley	C262CA7883F9563A	0
Verified (Factored)		Eivind Triel	C262CA7883F9563A	188172

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-22	Oliver Kruse	5AA48DF23D2F8BED	1	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	5AA48DF23D2F8BED	1	92261	1	3
Verified	2019-01-05	M8909387	B3CF03FA00D87ACE	2	164012	5	3
Verified	2019-01-06	Oliver Kruse	B3CF03FA00D87ACE	2	189869	5	3
Verified	2023-08-24	USAFSS	B3CF03FA00D87ACE	2	108229	5	3

History

Date	User	Type	Result
2023-08-24	Chun sung soo	CERT	PRP Certification Proof certified good
2023-08-24	USAFSS	C-PRP	M192581/71100438046237782899693287/90271871594650196479131577 : B3CF03FA00D87ACE PRP proof power = 5 PRP: Verified Proof certified good
2022-03-07	LordJulius	NF	no factor from 2^57 to 2^58
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2019-01-06	Oliver Kruse	C-PRP	M192581/71100438046237782899693287/90271871594650196479131577 : B3CF03FA00D87ACE PRP: Verified PRP without proof (small exponent)
2019-01-05	M8909387	C-PRP	M192581/71100438046237782899693287/90271871594650196479131577 : B3CF03FA00D87ACE PRP: Verified PRP without proof (small exponent)
2019-01-04	TJAOI	F-ECM	Factor: 90271871594650196479131577 / (ECM curve 46, B1=250000, B2=25000000)
2017-10-12	kkmrkkblmbrbk	C-PRP	M192581/71100438046237782899693287 : 5AA48DF23D2F8BED PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M192581/71100438046237782899693287 : 5AA48DF23D2F8BED PRP: Verified PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M192581/71100438046237782899693287 : 5AA48DF23D2F8BED PRP without proof (not generated)
2017-08-12	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2009-06-03	Sturle Sunde	F-ECM	Factor: 71100438046237782899693287
2009-02-02	axn	NF-PM1	B1=5000000, B2=200000000, E=12
2009-01-24	Sturle Sunde	NF	no factor from 2^59 to 2^60
2008-12-30	Sturle Sunde	NF	no factor from 2^58 to 2^59