1 970 261 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

1970261

Composite, with 7 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
11821567	8	23.5	old
1796878033	10	30.7	2008-07-15 07:48:48
8884596440351	13	43.0	2008-07-15 07:48:48
1020173246904241	16	49.9	2014-05-14 11:48:31
3633582273608393	16	51.7	2014-07-09 11:28:17
320569863067549727	18	58.2	2015-08-13 11:43:18
6785330665686277702690767912449	31	102.4	2022-08-02 10:13:27

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	106 / 640

Estimated T-Level: 25.8 ⓘ

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

PRP

Status	Date	User	Residue	Shift	Type	Base
Verified (Factored)	2025-09-02	Kriesel	112935653EFAEE76	0	1	3

PRP Cofactor

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-05	Oliver Kruse	243B32E3DF0ECF43	6	0	1	3
Verified (Factored)	2017-11-15	kkmrkkblmbrbk	243B32E3DF0ECF43	6	38047	1	3
Verified	2022-08-03	LordJulius	112935653EFAEE76	7	880887	5	3

History

Date	User	Type	Result
2025-09-03	Jurzal	CERT	PRP Certification CERT proof power = 6 Proof certified good
2025-09-02	Kriesel	C-PRP	112935653EFAEE76 PRP proof power = 6 PRP: Verified (Factored) Proof certified good
2022-12-23	LordJulius	NF	no factor from 2^67 to 2^68
2022-12-23	LordJulius	NF	no factor from 2^66 to 2^67
2022-12-23	LordJulius	NF	no factor from 2^65 to 2^66
2022-12-23	LordJulius	NF	no factor from 2^64 to 2^65
2022-12-23	LordJulius	NF	no factor from 2^63 to 2^64
2022-12-23	LordJulius	NF	no factor from 2^62 to 2^63
2022-12-23	LordJulius	NF	no factor from 2^61 to 2^62
2022-11-02	USAFSS	NF-PM1	B1=650000, B2=730452492
2022-08-12	USAFSS	NF-PM1	B1=132000, B2=134381520
2022-08-03	curtisc	CERT	PRP Certification Proof certified good
2022-08-03	LordJulius	C-PRP	M1970261/11821567/1796878033/8884596440351/1020173246904241/3633582273608393/320569863067549727/6785330665686277702690767912449 : 112935653EFAEE76 PRP proof power = 7 PRP: Verified Proof certified good
2022-08-02	TJAOI	F-ECM	Factor: 6785330665686277702690767912449 / (ECM curve 188, B1=50000, B2=7500000)
2017-11-15	kkmrkkblmbrbk	C-PRP	M1970261/11821567/1796878033/8884596440351/1020173246904241/3633582273608393/320569863067549727 : 243B32E3DF0ECF43 PRP: Verified (Factored) PRP without proof (not generated)
2017-10-05	Oliver Kruse	C-PRP	M1970261/11821567/1796878033/8884596440351/1020173246904241/3633582273608393/320569863067549727 : 243B32E3DF0ECF43 PRP: Verified (Factored) PRP without proof (not generated)
2017-10-05	Oliver Kruse	C-PRP	M1970261/11821567/1796878033/8884596440351/1020173246904241/3633582273608393/320569863067549727 : 243B32E3DF0ECF43 PRP without proof (not generated)
2015-08-13	TJAOI	F	Factor: 320569863067549727 / TF: 58-59
2014-07-09	TJAOI	F	Factor: 3633582273608393
2014-05-14	TJAOI	F	Factor: 1020173246904241
2008-07-15	J Feitsma	F	Factor: 8884596440351
2008-07-15	J Feitsma	F	Factor: 1796878033

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