1 101 403 Exponent Status

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GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
8330447255002014991	19	62.9	2009-11-29 01:15:14
107231897844403147585169	24	76.5	2018-04-20 14:10:44
8700843332538761159041099031	28	92.8	2017-05-12 11:33:19

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	100 / 640

Estimated T-Level: 25.8 ⓘ

TF below 2^81 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		David Slowinski	1A59	0
Verified (Factored)		Mark S. Manasse	1239735512EB7A59	0
Verified (Factored)	2002-04-14	S57483	1239735512EB7A59	516233

Status	Date	User	Residue	Shift	Type	Base
Verified (Factored)	2025-09-01	Kriesel	82A115837023B917	0	1	3

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-30	alpertron	B83F74D36773F498	2	0	1	3
Verified (Factored)	2017-10-16	Oliver Kruse	B83F74D36773F498	2	613852	1	3
Verified	2018-04-20	ATH	82A115837023B917	3	1057038	5	3
Verified	2018-04-22	Oliver Kruse	82A115837023B917	3	40706	5	3

History

Date	User	Type	Result
2025-09-02	numeroPrimo	CERT	PRP Certification CERT proof power = 6 Proof certified good
2025-09-01	Kriesel	C-PRP	82A115837023B917 PRP proof power = 6 PRP: Verified (Factored) Proof certified good
2024-05-06	cramsey87	NF-PM1	B1=500000, B2=5014687860
2022-03-07	LordJulius	NF	no factor from 2^57 to 2^60
2022-03-07	firejuggler	NF	no factor from 2^57 to 2^60
2018-04-22	Oliver Kruse	C-PRP	M1101403/8330447255002014991/8700843332538761159041099031/107231897844403147585169 : 82A115837023B917 PRP: Verified PRP without proof (not generated)
2018-04-20	ATH	C-PRP	M1101403/8330447255002014991/8700843332538761159041099031/107231897844403147585169 : 82A115837023B917 PRP: Verified PRP without proof (not generated)
2018-04-20	TJAOI	F-ECM	Factor: 107231897844403147585169 / (ECM curve 5, B1=50000, B2=5000000)
2017-10-16	Oliver Kruse	C-PRP	M1101403/8330447255002014991/8700843332538761159041099031 : B83F74D36773F498 PRP: Verified PRP without proof (not generated)
2017-09-30	alpertron	C-PRP	M1101403/8330447255002014991/8700843332538761159041099031 : B83F74D36773F498 PRP: Verified PRP without proof (not generated)
2017-09-29	Oliver Kruse	C-PRP	M1101403/8330447255002014991/8700843332538761159041099031 : B83F74D36773F498 PRP without proof (not generated)
2017-05-12	TJAOI	F-ECM	Factor: 8700843332538761159041099031 / (ECM curve 62, B1=50000, B2=5000000)
2016-03-17	alpertron	NF-PM1	B1=300000, B2=10000000, E=12
2009-11-29	Lacko52	F-ECM	Factor: 8330447255002014991
2009-02-14	Sturle Sunde	NF	no factor from 2^60 to 2^61