10 687 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
7096169	7	22.8	old
150064640218475601809231	24	77.0	2008-08-29 02:24:26
54197177223092372796513261440372811522863	41	135.3	2022-12-17 17:42:48

P-1 factors

Date	Factors	B1	B2
2022-12-17	54197177223092372796513261440372811522863	100000000000	120443211520241616

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	3290 / 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
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	19E0711352E8EB58	2	0	1	3
Factored	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	19E0711352E8EB58	2	5263	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	0A55E0647DCB350A	2	4906	5	3
Verified	No proof (small exponent)	2022-12-17	Anton Repko	0A55E0647DCB350A	3	3821	5	3

History

Date	User	Type	Result
2025-02-24	masser	NF-PP1	Start=193/13, B1=640000000, B2=639360000000
2025-02-16	masser	NF-PP1	Start=6/5, B1=640000000, B2=639360000000
2025-01-24	masser	NF-PP1	Start=2/7, B1=640000000, B2=639360000000
2022-12-17	Anton Repko	C-PRP	M10687/7096169/150064640218475601809231/54197177223092372796513261440372811522863 : 0A55E0647DCB350A
2022-12-17	Anton Repko	F-PM1	Factor: 54197177223092372796513261440372811522863 / B1=100000000000, B2=120443211520241610
2020-04-17	Oliver Kruse	C-PRP	M10687/7096169/150064640218475601809231 : 0A55E0647DCB350A
2017-10-12	kkmrkkblmbrbk	C-PRP	M10687/7096169/150064640218475601809231 : 19E0711352E8EB58
2017-09-21	Oliver Kruse	C-PRP	M10687/7096169/150064640218475601809231 : 19E0711352E8EB58
2017-09-21	Oliver Kruse	C-PRP	M10687/7096169/150064640218475601809231 : 19E0711352E8EB58
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-08-29	-anonymous-	F-ECM	Factor: 150064640218475601809231