10 427 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 3 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
35037410167	11	35.0	old
135375288960565384473645290205497	33	106.7	2008-10-16 23:57:24
1293090731820650118702798793824103	34	110.0	2010-03-15 05:26:39

P-1 factors

Date	Factors	B1	B2
2022-04-02	No new factors discovered	100000000000	122206074928307376

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	3287 / 16550

Estimated T-Level: 46.0 ⓘ

TF below 2^148 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	BA58A09282E570E5	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	BA58A09282E570E5	3	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	BA58A09282E570E5	3	4448	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	364227131EEEFA96	3	9184	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	364227131EEEFA96	3	7023	5	3

History

Date	User	Type	Result
2025-02-25	masser	NF-PP1	Start=150/13, B1=640000000, B2=639360000000
2025-02-19	masser	NF-PP1	Start=6/5, B1=640000000, B2=639360000000
2025-01-29	masser	NF-PP1	Start=2/7, B1=640000000, B2=639360000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M10427/1293090731820650118702798793824103/135375288960565384473645290205497/35037410167 : 364227131EEEFA96
2022-04-02	-anonymous-	F-PM1	Factor: 175052531472449470137235708456620389809520022606088518159341694191 / B1=100000000000, B2=122206074928307370
2021-08-02	ViliamF	NF-PM1	B1=250000000, B2=40250000000
2020-04-17	Oliver Kruse	C-PRP	M10427/35037410167/135375288960565384473645290205497/1293090731820650118702798793824103 : 364227131EEEFA96
2017-10-12	kkmrkkblmbrbk	C-PRP	M10427/35037410167/135375288960565384473645290205497/1293090731820650118702798793824103 : BA58A09282E570E5
2017-10-02	kkmrkkblmbrbk	C-PRP	M10427/35037410167/135375288960565384473645290205497/1293090731820650118702798793824103 : BA58A09282E570E5
2017-09-21	Oliver Kruse	C-PRP	M10427/35037410167/135375288960565384473645290205497/1293090731820650118702798793824103 : BA58A09282E570E5
2017-09-21	Oliver Kruse	C-PRP	M10427/35037410167/135375288960565384473645290205497/1293090731820650118702798793824103 : BA58A09282E570E5
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2010-03-15	Matthias Wurtinger	F-ECM	Factor: 1293090731820650118702798793824103
2008-10-16	-anonymous-	F-ECM	Factor: 135375288960565384473645290205497