103 969 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
5589631357769743	16	52.3	old
5770609584967927320601335241	28	92.2	2016-09-11 17:22:53

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	745 / 1566

Estimated T-Level: 32.4 ⓘ

TF below 2^103 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	B802EB6B8CA7E831	2	0	1	3
Verified	2017-09-22	Oliver Kruse	B802EB6B8CA7E831	2	0	1	3
Verified	2017-11-06	kkmrkkblmbrbk	B802EB6B8CA7E831	2	97809	1	3
Verified	2020-04-17	Oliver Kruse	C78E024F837DCEA5	2	101187	5	3
Verified	2022-04-15	LordJulius	C78E024F837DCEA5	2	3609	5	3

P-1 factors

Date	Factor	B1	B2
2016-09-11	5770609584967927320601335241	5000000	40000000

History

Date	User	Type	Result
2025-06-02	yuriy_5-1	NF-PM1	B1=4800000000, B2=5418154056465150
2022-04-15	LordJulius	C-PRP	M103969/5589631357769743/5770609584967927320601335241 : C78E024F837DCEA5 PRP: Verified PRP without proof (small exponent)
2022-04-14	LordJulius	NF	no factor from 2^61 to 2^62
2022-04-14	LordJulius	NF	no factor from 2^60 to 2^61
2022-04-14	LordJulius	NF	no factor from 2^59 to 2^60
2022-04-14	LordJulius	NF	no factor from 2^58 to 2^59
2022-04-14	LordJulius	NF	no factor from 2^57 to 2^58
2020-04-17	Oliver Kruse	C-PRP	M103969/5589631357769743/5770609584967927320601335241 : C78E024F837DCEA5 PRP: Verified PRP without proof (small exponent)
2017-11-06	kkmrkkblmbrbk	C-PRP	M103969/5589631357769743/5770609584967927320601335241 : B802EB6B8CA7E831 PRP: Verified PRP without proof (small exponent)
2017-09-21	Oliver Kruse	C-PRP	M103969/5589631357769743/5770609584967927320601335241 : B802EB6B8CA7E831 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M103969/5589631357769743/5770609584967927320601335241 : B802EB6B8CA7E831 PRP without proof (not generated)
2016-11-12	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2016-09-11	kkmrkkblmbrbk	F-PM1	Factor: 5770609584967927320601335241 / (P-1, B1=5000000, B2=40000000, E=12)