1 557 623 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
65420167	8	26.0	old
102803119	9	26.6	2008-07-15 10:04:47
902175241601	12	39.7	2008-07-15 10:04:47
788639577768673	15	49.5	2014-04-30 11:33:04
131370592326869633	18	56.9	2015-03-11 11:32:02
18146336838099831457	20	64.0	2017-06-20 11:12:39
3558661140071280403777	22	71.6	2019-07-19 09:18:04
31919950089003799926049	23	74.8	2019-07-19 09:18:04

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	277 / 640

Estimated T-Level: 27.2 ⓘ

TF below 2^85 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-28	alpertron	E253384D4DC01C96	6	0	1	3
Verified (Factored)	2017-10-18	Oliver Kruse	E253384D4DC01C96	6	707655	1	3
Verified	2019-07-20	oodaira	32E4FD6900793560	8	404504	5	3
Verified	2019-07-21	arnaud	32E4FD6900793560	8	684300	5	3

P-1 factors

Date	Factor	B1	B2
2015-03-11	131370592326869633	500000	15000000

History

Date	User	Type	Result
2022-12-23	LordJulius	NF	no factor from 2^67 to 2^68
2022-11-17	LordJulius	NF	no factor from 2^66 to 2^67
2022-11-17	LordJulius	NF	no factor from 2^65 to 2^66
2022-11-17	LordJulius	NF	no factor from 2^64 to 2^65
2022-11-17	LordJulius	NF	no factor from 2^62 to 2^63
2022-11-17	LordJulius	NF	no factor from 2^61 to 2^62
2021-03-28	Seth_Tr	NF-PM1	B1=200000000, B2=40200000000
2021-03-11	Seth_Tr	NF-PM1	B1=50000000, B2=8550000000
2019-07-21	arnaud	C-PRP	M1557623/65420167/102803119/902175241601/788639577768673/131370592326869633/18146336838099831457/3558661140071280403777/31919950089003799926049 : 32E4FD6900793560 PRP: Verified PRP without proof (not generated)
2019-07-20	oodaira	C-PRP	M1557623/65420167/102803119/902175241601/788639577768673/131370592326869633/18146336838099831457/3558661140071280403777/31919950089003799926049 : 32E4FD6900793560 PRP: Verified PRP without proof (not generated)
2019-07-19	TJAOI	F-ECM	Factor: 31919950089003799926049 / (ECM curve 4, B1=50000, B2=5000000)
2019-07-19	TJAOI	F-ECM	Factor: 3558661140071280403777 / (ECM curve 81, B1=50000, B2=5000000)
2017-10-18	Oliver Kruse	C-PRP	M1557623/65420167/102803119/902175241601/788639577768673/131370592326869633/18146336838099831457 : E253384D4DC01C96 PRP: Verified PRP without proof (not generated)
2017-09-28	alpertron	C-PRP	M1557623/102803119/131370592326869633/18146336838099831457/65420167/788639577768673/902175241601 : E253384D4DC01C96 PRP: Verified PRP without proof (not generated)
2017-06-20	TJAOI	F	Factor: 18146336838099831457 / TF: 63-64
2015-03-11	alpertron	F-PM1	Factor: 131370592326869633 / (P-1, B1=500000, B2=15000000, E=12)
2014-04-30	TJAOI	F	Factor: 788639577768673
2008-07-15	J Feitsma	F	Factor: 902175241601
2008-07-15	J Feitsma	F	Factor: 102803119