15 641 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 5 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
594359	6	19.2	old
8760877180143839657	19	62.9	2008-08-29 02:24:37
1503187649905798581024943	25	80.3	2008-08-29 02:24:37
5476635295941434870665009	25	82.2	2008-08-29 02:24:37
21236324132398144220838855087690902969	38	124.0	2017-10-20 02:24:01

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	2514 / 4588

Estimated T-Level: 37.7 ⓘ

TF below 2^120 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	5833C2B75D2AD094	4	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	5833C2B75D2AD094	4	0	1	3
Verified	2017-10-20	alpertron	BAB4026245E13881	5	0	1	3
Verified	2017-10-20	Oliver Kruse	2CB00AA18CD88116	5	12090	5	3
Verified	2017-10-21	kkmrkkblmbrbk	BAB4026245E13881	5	2176	1	3
Verified	2017-11-01	kkmrkkblmbrbk	2CB00AA18CD88116	5	6246	5	3

P-1 factors

Date	Factor	B1	B2
2024-06-01	1503187649905798581024943	100000000000	120417199046794656

History

Date	User	Type	Result
2025-01-09	masser	NF-PP1	Start=6/5, B1=180000000, B2=179820000000
2024-12-28	masser	NF-PP1	Start=153/43, B1=180000000, B2=179820000000
2024-12-13	masser	NF-PP1	Start=2/7, B1=180000000, B2=179820000000
2024-06-01	-Anonymous-	F-PM1	Factor: 1503187649905798581024943 / (P-1, B1=100000000000, B2=120417199046794650)
2023-05-30	JacobZ	NF-PM1	B1=6900000000, B2=29520458628010350
2021-08-27	Seth_Tr	NF-PM1	B1=400000000
2017-11-01	kkmrkkblmbrbk	C-PRP	M15641/594359/8760877180143839657/1503187649905798581024943/5476635295941434870665009/21236324132398144220838855087690902969 : 2CB00AA18CD88116 PRP: Verified PRP without proof (small exponent)
2017-10-21	kkmrkkblmbrbk	C-PRP	M15641/594359/8760877180143839657/1503187649905798581024943/5476635295941434870665009/21236324132398144220838855087690902969 : BAB4026245E13881 PRP: Verified PRP without proof (small exponent)
2017-10-20	Oliver Kruse	C-PRP	M15641/594359/8760877180143839657/1503187649905798581024943/5476635295941434870665009/21236324132398144220838855087690902969 : 2CB00AA18CD88116 PRP: Verified PRP without proof (small exponent)
2017-10-20	alpertron	C-PRP	M15641/594359/8760877180143839657/1503187649905798581024943/5476635295941434870665009/21236324132398144220838855087690902969 : BAB4026245E13881 PRP: Verified PRP without proof (not generated)
2017-10-20	James Hintz	F-ECM	Factor: 21236324132398144220838855087690902969 / (ECM curve 465, B1=1000000, B2=100000000)
2017-10-02	kkmrkkblmbrbk	C-PRP	M15641/594359/8760877180143839657/1503187649905798581024943/5476635295941434870665009 : 5833C2B75D2AD094 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M15641/594359/8760877180143839657/1503187649905798581024943/5476635295941434870665009 : 5833C2B75D2AD094 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M15641/594359/8760877180143839657/1503187649905798581024943/5476635295941434870665009 : 5833C2B75D2AD094 PRP without proof (not generated)
2008-08-29	-Anonymous-	F-ECM	Factor: 5476635295941434870665009
2008-08-29	-Anonymous-	F-ECM	Factor: 1503187649905798581024943
2008-08-29	-Anonymous-	F-ECM	Factor: 8760877180143839657