106 087 Exponent Status

Great Internet Mersenne Prime Search
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
4852207207	10	32.2	old
7545325068873769	16	52.7	2010-02-07 13:56:18
1978019785800085441920991	25	80.7	2016-09-12 00:40:33

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	735 / 1566

Estimated T-Level: 32.3 ⓘ

TF below 2^102 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	0F2D27405D564282	3	0	1	3
Verified	2017-10-09	Chang Chia-Tche	0F2D27405D564282	3	0	1	3
Verified	2017-10-13	kkmrkkblmbrbk	0F2D27405D564282	3	74101	1	3
Verified	2020-04-17	Oliver Kruse	4957B52DA8DA4DAC	3	32859	5	3
Verified	2022-04-15	LordJulius	4957B52DA8DA4DAC	3	13562	5	3
Verified	2022-10-21	LordJulius	4957B52DA8DA4DAC	3	60731	5	3

P-1 factors

Date	Factor	B1	B2
2016-09-12	1978019785800085441920991	5000000	40000000

History

Date	User	Type	Result
2025-09-06	masser	NF-PM1	B1=390000000, B2=37645780522350
2022-10-22	tonyw	CERT	PRP Certification Proof certified good
2022-10-21	LordJulius	C-PRP	M106087/4852207207/7545325068873769/1978019785800085441920991 : 4957B52DA8DA4DAC PRP proof power = 5 PRP: Verified Proof certified good
2022-04-21	LordJulius	NF	no factor from 2^62 to 2^63
2022-04-21	LordJulius	NF	no factor from 2^61 to 2^62
2022-04-21	LordJulius	NF	no factor from 2^60 to 2^61
2022-04-21	LordJulius	NF	no factor from 2^59 to 2^60
2022-04-21	LordJulius	NF	no factor from 2^58 to 2^59
2022-04-21	LordJulius	NF	no factor from 2^57 to 2^58
2022-04-15	LordJulius	C-PRP	M106087/4852207207/7545325068873769/1978019785800085441920991 : 4957B52DA8DA4DAC PRP proof power = 5 PRP: Verified PRP proof never uploaded
2020-04-17	Oliver Kruse	C-PRP	M106087/4852207207/7545325068873769/1978019785800085441920991 : 4957B52DA8DA4DAC PRP: Verified PRP without proof (small exponent)
2017-10-13	kkmrkkblmbrbk	C-PRP	M106087/4852207207/7545325068873769/1978019785800085441920991 : 0F2D27405D564282 PRP: Verified PRP without proof (not generated)
2017-10-09	Chang Chia-Tche	C-PRP	M106087/known_factors : 0F2D27405D564282 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M106087/4852207207/7545325068873769/1978019785800085441920991 : 0F2D27405D564282 PRP without proof (not generated)
2016-11-25	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2016-09-12	kkmrkkblmbrbk	F-PM1	Factor: 1978019785800085441920991 / (P-1, B1=5000000, B2=40000000, E=12)
2010-02-07	Rob_Dee	F-ECM	Factor: 7545325068873769