108 037 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
2659318887552342437437656530777	31	101.1	2012-12-13 13:05:55

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	304 / 1566

Estimated T-Level: 31.0 ⓘ

TF below 2^98 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Unknown	185D	0
Verified (Factored)		Jay R. Hill	484D0CAB5393185D	0
Verified (Factored)		Brian J. Beesley	484D0CAB5393185D	0
Verified (Factored)		Eivind Triel	484D0CAB5393185D	62417

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	55B5907E487C00A0	1	0	1	3
Verified	2017-10-13	kkmrkkblmbrbk	55B5907E487C00A0	1	95464	1	3
Verified	2020-04-17	Oliver Kruse	20AB27D0B9E34C4C	1	57893	5	3
Verified	2022-04-15	LordJulius	20AB27D0B9E34C4C	1	41292	5	3
Verified	2022-11-03	LordJulius	20AB27D0B9E34C4C	1	25564	5	3

History

Date	User	Type	Result
2022-11-03	curtisc	CERT	PRP Certification Proof certified good
2022-11-03	LordJulius	C-PRP	M108037/2659318887552342437437656530777 : 20AB27D0B9E34C4C PRP proof power = 5 PRP: Verified Proof certified good
2022-05-06	LordJulius	NF	no factor from 2^62 to 2^63
2022-05-06	LordJulius	NF	no factor from 2^61 to 2^62
2022-05-06	LordJulius	NF	no factor from 2^60 to 2^61
2022-04-15	LordJulius	C-PRP	M108037/2659318887552342437437656530777 : 20AB27D0B9E34C4C PRP proof power = 5 PRP: Verified PRP proof never uploaded
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
2021-07-01	ATH	NF-PP1	Start=2/7, B1=50000000, B2=5000000000
2020-04-17	Oliver Kruse	C-PRP	M108037/2659318887552342437437656530777 : 20AB27D0B9E34C4C PRP: Verified PRP without proof (small exponent)
2017-10-13	kkmrkkblmbrbk	C-PRP	M108037/2659318887552342437437656530777 : 55B5907E487C00A0 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M108037/2659318887552342437437656530777 : 55B5907E487C00A0 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M108037/2659318887552342437437656530777 : 55B5907E487C00A0 PRP without proof (not generated)
2016-12-05	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2012-12-13	alpertron	F-ECM	Factor: 2659318887552342437437656530777
2009-01-05	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