14 537 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 4 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
87223	5	16.4	old
927473241607793	15	49.7	2008-08-29 02:24:35
254983375945268168503	21	67.8	2008-08-29 02:24:35
108318691919359785620676743	27	86.5	2009-06-10 08:09:33

P-1 factors

Date	Factors	B1	B2
2023-11-30	No new factors discovered	100000000000	122815096988293712

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1714 / 9201

Estimated T-Level: 40.9 ⓘ

TF below 2^131 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	78D28B2BC83D777E	4	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	78D28B2BC83D777E	4	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	78D28B2BC83D777E	4	2361	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	4BD18FAF4341676C	4	984	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	4BD18FAF4341676C	4	3526	5	3

History

Date	User	Type	Result
2025-02-07	masser	NF-PP1	Start=153/53, B1=355000000, B2=354645000000
2025-02-07	masser	NF-PP1	Start=2/7, B1=355000000, B2=354645000000
2025-01-17	masser	NF-PP1	Start=6/5, B1=355000000, B2=354645000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M14537/108318691919359785620676743/254983375945268168503/87223/927473241607793 : 4BD18FAF4341676C
2023-11-30	-anonymous-	F-PM1	Factors: 108318691919359785620676743,254983375945268168503 / B1=100000000000, B2=122815096988293710
2023-05-25	JacobZ	NF-PM1	B1=7500000000, B2=29520458628010350
2021-08-01	ViliamF	NF-PM1	B1=250000000, B2=42750000000
2020-04-17	Oliver Kruse	C-PRP	M14537/87223/927473241607793/254983375945268168503/108318691919359785620676743 : 4BD18FAF4341676C
2017-12-07	ATH	C-PRP	M14537/87223/927473241607793/254983375945268168503/108318691919359785620676743 : 78D28B2BC83D777E
2017-10-02	kkmrkkblmbrbk	C-PRP	M14537/87223/927473241607793/254983375945268168503/108318691919359785620676743 : 78D28B2BC83D777E
2017-09-21	Oliver Kruse	C-PRP	M14537/87223/927473241607793/254983375945268168503/108318691919359785620676743 : 78D28B2BC83D777E
2017-09-21	Oliver Kruse	C-PRP	M14537/87223/927473241607793/254983375945268168503/108318691919359785620676743 : 78D28B2BC83D777E
2009-06-10	Rob_Dee	F-ECM	Factor: 108318691919359785620676743
2008-08-29	-anonymous-	F-ECM	Factor: 254983375945268168503
2008-08-29	-anonymous-	F	Factor: 927473241607793