112 339 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
120652087	9	26.8	old
104906651761	12	36.6	2008-07-26 09:17:16
85040096524727351332545679	26	86.1	2015-04-17 10:30:15

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	527 / 1566

Estimated T-Level: 31.7 ⓘ

TF below 2^100 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-22	Oliver Kruse	F2607B94720B935F	3	0	1	3
Verified	2017-10-09	Chang Chia-Tche	F2607B94720B935F	3	0	1	3
Verified	2017-10-13	kkmrkkblmbrbk	F2607B94720B935F	3	42906	1	3
Verified	2020-04-17	Oliver Kruse	53C7673BEFEDAED0	3	17831	5	3
Verified	2022-04-15	LordJulius	53C7673BEFEDAED0	3	103389	5	3
Verified	2022-11-11	LordJulius	53C7673BEFEDAED0	3	12947	5	3

History

Date	User	Type	Result
2022-11-12	curtisc	CERT	PRP Certification Proof certified good
2022-11-11	LordJulius	C-PRP	M112339/120652087/104906651761/85040096524727351332545679 : 53C7673BEFEDAED0 PRP proof power = 5 PRP: Verified Proof certified good
2022-05-09	LordJulius	NF	no factor from 2^62 to 2^63
2022-05-09	LordJulius	NF	no factor from 2^61 to 2^62
2022-05-09	LordJulius	NF	no factor from 2^60 to 2^61
2022-05-09	LordJulius	NF	no factor from 2^59 to 2^60
2022-05-09	LordJulius	NF	no factor from 2^58 to 2^59
2022-05-09	LordJulius	NF	no factor from 2^57 to 2^58
2022-04-15	LordJulius	C-PRP	M112339/120652087/104906651761/85040096524727351332545679 : 53C7673BEFEDAED0 PRP proof power = 5 PRP: Verified PRP proof never uploaded
2020-04-17	Oliver Kruse	C-PRP	M112339/120652087/104906651761/85040096524727351332545679 : 53C7673BEFEDAED0 PRP: Verified PRP without proof (small exponent)
2017-10-13	kkmrkkblmbrbk	C-PRP	M112339/120652087/104906651761/85040096524727351332545679 : F2607B94720B935F PRP: Verified PRP without proof (not generated)
2017-10-09	Chang Chia-Tche	C-PRP	M112339/known_factors : F2607B94720B935F PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M112339/120652087/104906651761/85040096524727351332545679 : F2607B94720B935F PRP without proof (not generated)
2016-12-27	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2015-04-17	TJAOI	F-ECM	Factor: 85040096524727351332545679
2008-07-26	J Feitsma	F	Factor: 104906651761