101 281 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
529902193	9	29.0	old
312978236274852462332591	24	78.1	2010-04-20 05:09:41

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	271 / 1566

Estimated T-Level: 30.9 ⓘ

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

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	43300635E96CC010	2	0	1	3
Verified	2017-10-13	kkmrkkblmbrbk	43300635E96CC010	2	37752	1	3
Verified	2020-04-17	Oliver Kruse	538DA1420C4F3AF9	2	45551	5	3
Verified	2022-04-15	LordJulius	538DA1420C4F3AF9	2	64626	5	3

History

Date	User	Type	Result
2022-12-08	LordJulius	NF	no factor from 2^63 to 2^64
2022-12-08	LordJulius	NF	no factor from 2^62 to 2^63
2022-04-15	LordJulius	C-PRP	M101281/529902193/312978236274852462332591 : 538DA1420C4F3AF9 PRP: Verified PRP without proof (small exponent)
2022-04-13	LordJulius	NF	no factor from 2^61 to 2^62
2022-04-13	LordJulius	NF	no factor from 2^60 to 2^61
2022-04-13	LordJulius	NF	no factor from 2^59 to 2^60
2022-04-13	LordJulius	NF	no factor from 2^58 to 2^59
2022-04-13	LordJulius	NF	no factor from 2^57 to 2^58
2021-12-19	Seth_Tr	NF-PM1	B1=1000000000, B2=6735532633830
2020-04-17	Oliver Kruse	C-PRP	M101281/529902193/312978236274852462332591 : 538DA1420C4F3AF9 PRP: Verified PRP without proof (small exponent)
2018-11-02	J.R. Allen	NF	no factor from 2^59 to 2^60
2018-11-02	J.R. Allen	NF	no factor from 2^58 to 2^59
2018-11-02	J.R. Allen	NF	no factor from 2^57 to 2^58
2018-10-25	J.R. Allen	NF	no factor from 2^52 to 2^57
2017-10-13	kkmrkkblmbrbk	C-PRP	M101281/529902193/312978236274852462332591 : 43300635E96CC010 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M101281/529902193/312978236274852462332591 : 43300635E96CC010 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M101281/529902193/312978236274852462332591 : 43300635E96CC010 PRP without proof (not generated)
2016-11-02	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2010-04-20	James Hintz	F-ECM	Factor: 312978236274852462332591